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Aryabhata I

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Aryabhata I

How did Aryabhata become famous?

Aryabhata became famous as a mathematician and astronomer. In his only surviving work, Aryabhatiya , he covered a wide range of topics, such as extracting square roots , solving quadratic equations , and predicting eclipses .

What did Aryabhata discover?

Aryabhata discovered an approximation of pi , 62832/20000 = 3.1416. He also correctly believed that the planets and the Moon shine by reflected sunlight and that the motion of the stars is due to Earth ’s rotation.

What was Aryabhata’s legacy?

Aryabhata’s book Aryabhatiya was one of the high points of the “classical” period of Indian mathematics . The translation of Aryabhatiya into Arabic at the end of the 8th century exercised a great influence on the development of mathematical astronomy in the Islamic world.

Aryabhata (born 476, possibly Ashmaka or Kusumapura, India) was an astronomer and the earliest Indian mathematician whose work and history are available to modern scholars. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name. He flourished in Kusumapura—near Patalipurta (Patna), then the capital of the Gupta dynasty —where he composed at least two works, Aryabhatiya (c. 499) and the now lost Aryabhatasiddhanta .

Aryabhatasiddhanta circulated mainly in the northwest of India and, through the Sāsānian dynasty (224–651) of Iran , had a profound influence on the development of Islamic astronomy . Its contents are preserved to some extent in the works of Varahamihira (flourished c. 550), Bhaskara I (flourished c. 629), Brahmagupta (598–c. 665), and others. It is one of the earliest astronomical works to assign the start of each day to midnight.

Equations written on blackboard

Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy. Following an introduction that contains astronomical tables and Aryabhata’s system of phonemic number notation in which numbers are represented by a consonant-vowel monosyllable, the work is divided into three sections: Ganita (“Mathematics”), Kala-kriya (“Time Calculations”), and Gola (“Sphere”).

In Ganita Aryabhata names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, using the decimal number system . Then he treats geometric measurements—employing 62,832/20,000 (= 3.1416) for π , very close to the actual value 3.14159—and develops properties of similar right-angled triangles and of two intersecting circles. Using the Pythagorean theorem , he obtained one of the two methods for constructing his table of sines. He also realized that second-order sine difference is proportional to sine. Mathematical series, quadratic equations , compound interest (involving a quadratic equation), proportions ( ratios ), and the solution of various linear equations are among the arithmetic and algebraic topics included. Aryabhata’s general solution for linear indeterminate equations, which Bhaskara I called kuttakara (“pulverizer”), consisted of breaking the problem down into new problems with successively smaller coefficients—essentially the Euclidean algorithm and related to the method of continued fractions .

With Kala-kriya Aryabhata turned to astronomy—in particular, treating planetary motion along the ecliptic . The topics include definitions of various units of time , eccentric and epicyclic models of planetary motion ( see Hipparchus for earlier Greek models), planetary longitude corrections for different terrestrial locations, and a theory of “lords of the hours and days” (an astrological concept used for determining propitious times for action).

Aryabhatiya ends with spherical astronomy in Gola , where he applied plane trigonometry to spherical geometry by projecting points and lines on the surface of a sphere onto appropriate planes. Topics include prediction of solar and lunar eclipses and an explicit statement that the apparent westward motion of the stars is due to the spherical Earth ’s rotation about its axis. Aryabhata also correctly ascribed the luminosity of the Moon and planets to reflected sunlight.

The Indian government named its first satellite Aryabhata (launched 1975) in his honour.

biography of aryabhatta in 300 words

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Essay on Aryabhatta: Samples in 150 and 300 Words

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  • Nov 11, 2023

Essay On aryabhatta

Essay on Aryabhatta: A man of scientific temperament and astronomical knowledge, Aryabhatta has left an indestructible mark on India and the world. His accounts on Mathematics guide various dimensions of the subject like Arithmetic, Vedic Mathematics, Trigonometry , and Geometry. In addition, his discoveries in Astronomy introduced the world to the ‘Heliocentric Theory’.

biography of aryabhatta in 300 words

With his theory, the world came to know that the sun and not Earth is the centre of the universe. All these are vividly mentioned in his stellar works- Aryabhatia and Aryabhatasiddhanta. To introduce you to his achievements, we have written a 150 and 300-word essay on Aryabhatta in this blog. Keep reading!!

Also Read: 20 Most Famous Indian Mathematicians

Essay on Aryabhatta in 150 Words

Here is an essay on Aryabhatta in 150 words:

Aryabhatta was born around the 4th century CE in Kusumpura, Bihar. He is one of India’s earliest mathematicians who flourished under the Gupta dynasty in ancient India. Under this empire, Aryabhatta composed two exceptional accounts-  Aryabhatiya and Aryabhatasiddhanta. His books are a testament to his critical thinking and immense mathematical knowledge. 

He has been credited with the discovery of trigonometric functions, the value of Pi, and algebraic identities. Furthermore, he is most popularly known for inventing Zero and finding its place in the number system. In addition to Mathematics, Aryabhatta has made ample contributions to the field of Astronomy. He was the one who propagated the ‘Heliocentric Theory’. According to this theory, planets revolve around the sun and it is not the other way around. Also, he explained the science behind solar and lunar eclipses. 

Therefore, it is ideal to say that Aryabhatta was an excellent scientist with immense knowledge and an exceptional understanding of his surroundings. 

Also read: Essay on Money

Essay on Aryabhatta in 300 Words

Now, let us look at an essay on Aryabhatta in 300 words: 

Born in the 4th century, Aryabhatta is one of India’s most acknowledged mathematicians and astronomers. He was born in Kusumpura, Kulpa, Bihar in the 4th century. His contributions and discoveries have left an indelible mark on Indian astrological traditions. 

He revolutionised the Vedic method of solving mathematical problems. Also, he studied and evolved key Mathematical fields like plane and spherical trigonometry, arithmetic, and algebra. Owing to his astounding knowledge of Algebra, he is regarded as the ‘Father of Algebra’. Also, he approximated the value of ‘pi’ as 3.14. In addition, Aryabhatta made use of null coefficients while being cautious about the risks associated with using zero. In contrast to Brahmi numbers, he followed the Sanskritic tradition, which primarily used letters and alphabets for notation.

Furthermore, Aryabhatta’s accurate insight was that the Earth rotates daily on its axis around the sun, causing the apparent movement of stars. This contradicted the prevalent belief of his time, which held that the sky itself rotated. Heliocentrism is defined as the celestial body’s axial rotation’, supported by mathematical evidence.

In later years, Aryabhatta’s research, inquiries, and computations were translated into numerous languages to assist astronomers from different cultures. The most notable translations occurred during the Islamic Golden Age, with influential Arabian mathematicians like Al-Khawarizmi and Al-Biruni, who also believed in the Earth’s axial rotation, drawing upon some of Aryabhatta’s discoveries.

In the realm of scientific knowledge and global impact, Aryabhatta played a pivotal role in putting India on the map. He challenged and contradicted many prevailing beliefs of his era, providing compelling evidence through his calculations to support his assertions. His work has stood the test of time, remaining remarkably precise. Aryabhatta was one of the few scientists who dedicated their entire lives to an extraordinary and enduring legacy of achievement. His contributions are celebrated and acknowledged throughout India.

Also Read: How to Prepare for UPSC in 6 Months?

Zero was introduced in the value system by Aryabhatta.

All Mathematical and Astronomical concepts by Aryabhatta are compiled in Aryabhatia and Aryabhatasiddhanta.

According to this theory, planets revolve around the sun and it is not the other way around. 

The mathematical value of Pi is 3.14

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Paragraph on Aryabhata in 100, 150, 200, 250 & 300 Words for Students

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Aryabhata was one of the earliest and most remarkable astronomers and mathematicians from ancient India. His work still amazes many people around the world today. Aryabhata believed that the Earth spins on its axis and that the daily rise and fall of the sun and stars are due to the Earth’s rotation, not because the skies themselves are moving. This idea was revolutionary during his time when many thought the Earth was stationary and the sky rotated. His contributions didn’t stop there; he also made significant advancements in mathematics, particularly in algebra and trigonometry. Let’s explore how Aryabhata’s theories were not only ahead of his time but continue to influence modern science.

Table of Contents

Paragraph on Aryabhata in 100 words

Aryabhata was one of the earliest Indian mathematicians and astronomers, and he made significant contributions to both fields around 500 AD. Born in the region now known as Bihar, Aryabhata wrote the “Aryabhatiya,” a small but comprehensive work that covers arithmetic, algebra, trigonometry, and astronomy. His most notable contributions include the introduction of the concept of zero, which revolutionized mathematics. Aryabhata was also ahead of his time in astronomy; he proposed that the Earth rotates on its axis daily and orbits the sun, which is a fact accepted much later in the Western world. His calculations on the durations of the planetary orbits are remarkably accurate. Aryabhata’s work laid the foundations for Indian mathematics and had a considerable influence on Islamic and European mathematical sciences.

Paragraph on Aryabhata in 150 words

Aryabhata, an eminent Indian mathematician and astronomer, was born in 476 AD in what is now Kerala. He is best known for his comprehensive work titled “Aryabhatiya,” composed at the age of just 23. This pioneering text includes topics like arithmetic, algebra, and the calculation of trigonometric series, which were centuries ahead of the European Renaissance mathematicians. Aryabhata’s genius in astronomy led him to assert that the Earth spins on its axis and that the apparent movement of the stars is due to this rotation, a revolutionary idea for that time. He also accurately calculated the earth’s circumference and its rotation time, along with the lengths of the planetary orbits. Aryabhata’s contributions extended to the calculation of pi (π), where he provided an approximation that was incredibly close to the true value. His work not only influenced Indian mathematics and astronomy but also had a lasting impact on Islamic science, which further transmitted these ideas to Europe. Aryabhata’s legacy is a testament to the rich scientific heritage of ancient India.

Paragraph on Aryabhata in 200 words

Aryabhata was a pioneering Indian mathematician and astronomer who made groundbreaking contributions to the fields of mathematics and astronomy around 500 AD. He was born in 476 AD, likely in Kerala, and his works display a profound understanding of these complex subjects. Aryabhata’s most celebrated composition, the “Aryabhatiya,” is a treatise that consists of 108 verses and deals with mathematical and astronomical theories. This seminal work is divided into sections that cover different aspects of mathematics such as algebra, arithmetic, trigonometry, and quadratic equations. Aryabhata introduced the concept of zero, which was a significant development in mathematics. In astronomy, he challenged the prevalent geocentric theory of his time by proposing that the Earth rotates on its axis and orbits the sun. Aryabhata calculated the periods of planets with remarkable accuracy, considering the observational tools of his era. Moreover, he estimated the length of the solar year as 365.25 days, which is very close to the modern measurement. Aryabhata’s deduction of the sine function, and his work on the approximation of π (pi), showcases his mathematical ingenuity. His scholarly work influenced not only subsequent Indian mathematicians and astronomers but also those in the Islamic world and later in Europe. Aryabhata’s legacy in the field of science remains influential, and his pioneering theories continue to be studied and revered in the academic world.

Paragraph on Aryabhata in 250 words

Aryabhata was one of the earliest Indian mathematicians and astronomers whose work has been highly influential in the field of mathematics and astronomy. Born in 476 AD in Kusumapura (present-day Patna, Bihar), Aryabhata’s contributions have played a crucial role in setting the foundation for mathematical and astronomical calculations. One of his significant works is the “Aryabhatiya,” a compilation of mathematics and astronomy, written in verse, which he authored at the age of just 23.

Aryabhata proposed the revolutionary idea that the Earth rotates on its axis daily and revolves around the sun, which was a significant departure from the then-prevailing worldview that saw the Earth as the center of the universe. His methods provided solutions for determining the positions of planets and calculating eclipses. He was also a pioneer in trigonometry, introducing sine, cosine, and inverse sine functions, enriching mathematical study considerably.

His work on the place value system and zero has had a profound impact on both mathematics and science. Aryabhata’s work did not just influence Indian mathematics, but also had a far-reaching impact on the Islamic world and, eventually, Europe. His legacy is still studied and respected in the academic communities for its depth and clarity. Aryabhata’s innovative thinking and groundbreaking discoveries make him one of the great luminaries in the history of science.

Paragraph on Aryabhata in 300 words

Aryabhata, born in 476 AD, was a renowned mathematician and astronomer from ancient India, whose pioneering work laid foundational stones in many scientific areas. His most famous written work, the “Aryabhatiya,” details many important mathematical and astronomical theories. This treatise, written in Sanskrit verse, covers arithmetic, algebra, plane trigonometry, and spherical geometry, and it continues to be studied for its rich content and historical value.

Aryabhata accurately calculated the value of pi, which he described as approximately 3.1416, a calculation remarkably close to the true value. This was a significant achievement, considering the limited tools available during his time. He also delved into the concept of algebra and provided sine and cosine tables, which were crucial for the development of trigonometry. His assertion that the Earth rotates on its axis and orbits the sun helped lay the groundwork for modern astronomy.

Apart from his mathematical genius, Aryabhata’s astronomical theories were far ahead of his time. He argued against the widely held belief that the Sun revolves around the Earth, promoting a heliocentric model instead. His explanations of solar and lunar eclipses were based on the idea that the Earth’s shadow causes these phenomena, challenging the mythological interpretations prevalent during his era.

His works profoundly influenced not only the subsequent generations of Indian scientists and scholars but also many in the Arabic world, who translated his writings from Sanskrit to Arabic. This helped spread his ideas to the Western world, significantly influencing European mathematics and astronomy during the Renaissance.

Aryabhata’s contributions to the fields of mathematics, astronomy, and science are monumental. His methods and calculations opened new ways of understanding the universe and solving complex problems, not only in his own culture but across different civilizations globally. His intellectual legacy continues to be a key part of scientific study and education in India and around the world.

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Essay on Aryabhatta for Students and Children

500+ words essay on aryabhatta.

Essay on Arayabhatta – Aryabhatta was the first Indian mathematician and astronomer. He had immense knowledge in the field of mathematics. Moreover, he did he may discoveries during his era. For instance, some of them were the discovery of algebraic identities, trigonometrical functions, the value of pi, Place value system, etc.

Essay on Aryabhatta

Furthermore, he wrote many books which still help us in performing various calculations. Aryabhatta was a great influence to many youngsters. For he excelled in academics from a very early age. Moreover, he contributed much to the society his works and theories are still remembered and honored till date.

The Early Life of Aryabhatta

Aryabhatta was born in 475 A.D. Furthermore his birthplace eas not sure, but in his book the ‘Aryabhatiya’, he mentions that he was a native of Kusumapura the modern-day Patna. Moreover, from his historical records, the archaeologists believed that he continued his further studies in Kusumapura. Because in Kusumapura his major astronomical observatory was located.

Therefore, we can ascertain that Aryabhatta spent most of the time there. Further, some historians believe that he was also the head of Nalanda University in Kusumpura. Though these theories are all on a probable basis because no proper evidence was there except the books Arybhatta wrote in his lifetime. Yet some of his records were lost and are not found till date.

Work of Aryabhatta

Aryabhatta contributed greatly to the field of mathematics. For instance, he was responsible for discovering various trigonometrical functions which are useful for us in the modern era too.

biography of aryabhatta in 300 words

Apart from his discoveries in the field of mathematics, Aryabhatta contributed immensely towards astronomy. He proposed the heliocentric theory which states the planets revolve around the Sun. with the help of this theory, he calculated the speed of the different planets with respect to the Sun.

Furthermore, he also calculated the sidereal rotation which is the rotation of the earth in reference to the stars. Moreover, he founded the sidereal year to be 365 days, 6 hours, 12 minutes and 30 seconds which varies with only 3 minutes and 20 seconds over the modern-day value.

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Contributions of Aryabhatta

Most noteworthy is that Aryabhatta correctly founded that the earth rotates on its axis. Furthermore, he also proposed the geocentric model of the solar system which described the earth to be the center of the universe. And the sun, the moon, and the planets revolve around it.

Aryabhata also explained the solar and lunar eclipses in his book. Consequently, he also proposed that the moon due to the reflection of the sunlight. He explained in his book that the lunar eclipse and the solar eclipse takes by the shadow-casting of the earth and the moon.

In conclusion Aryabhatta approximations in the field of astronomy were quite accurate. It provided the core to the computational paradigm which provides a base to the modern theories.

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Aryabhatta Biography: Background, Education, Age, Works, Contributions (Mathematics & Astronomy).

May 30, 2024 EMBiography Others 0

biography of aryabhatta in 300 words

Table of Contents

Aryabhatta Biography.

Aryabhatta Biography.

Aryabhatta Biography- Aryabhatta (476–550 CE) was a pioneering mathematician and astronomer from ancient India. In an era when the night sky was a mystery, Aryabhatta shed light on the universe’s secrets, laying the foundation for future discoveries. His journey from humble beginnings to renowned scholar is truly inspiring..

Aryabhatta was born in 476 CE. Although the exact location of his birth is not certain, it is widely believed that he hailed from the region of Kusumapura, identified as modern-day Patna in Bihar, India. This area was a significant center of learning during his time, which likely influenced Aryabhatta’s pursuit of knowledge.

Aryabhatta went to Kusumapura (modern-day Patna), a thriving center of learning identified with Pataliputra, for advanced studies and lived there for some time. His presence there suggests he had access to excellent educational resources. Aryabhatta was likely the head of an institution (kulapa) at Kusumapura and may have been associated with Nalanda University, which had an astronomical observatory. He is also reputed to have set up an observatory at the Sun temple in Taregana, Bihar.

By the time Aryabhatta composed the Aryabhatiya  in 499 CE, he was just 23 years old.

Read Also: Sharvari Wagh Biography: Background, Education, Age, Career, Physical Stats, Family, Net Worth, Personal Life, Movies.

Aryabhatta’s contributions to mathematics and astronomy are primarily encapsulated in two significant works: the Aryabhatiya  and the Arya-siddhanta . These texts contain groundbreaking theories and observations that have influenced scholars for centuries.

Aryabhatiya

The Aryabhatiya is a detailed book on mathematics and astronomy. Composed in 499 CE, this work is divided into four sections:

1. Gitikapada – A summary of the work in verse. 2. Ganitapada – Mathematics, including arithmetic, algebra, and trigonometry. 3. Kalakriyapada – Calculations on time and planetary positions. 4. Golapada – Spherical astronomy.

Arya-siddhanta

Another crucial work attributed to Aryabhatta is the Arya-siddhanta. Though not as well-preserved as the Aryabhatiya, it deals with astronomical calculations and the mechanics of the solar system, including theories on eclipses and planetary movements.

Contributions to Mathematics

Aryabhatta made several key contributions to mathematics:

– Place Value System and Zero: He worked on the place value system, which is fundamental to modern mathematics. – Approximation of Pi: Aryabhatta provided an approximation of pi (π) as 3.1416, which is remarkably close to the true value. – Trigonometry: He introduced trigonometric functions like sine (jya) and cosine (kojya), which are crucial in various fields of science and engineering today.

Contributions to Astronomy

Aryabhatta’s work in astronomy was equally groundbreaking:

– Heliocentric Theory: He proposed that the Earth rotates on its axis, a revolutionary idea that predated Copernicus by almost a millennium. – Eclipses: Aryabhatta correctly explained the causes of solar and lunar eclipses, attributing them to the shadows cast by the Earth and the Moon. – Planetary Positions: His calculations of planetary positions and periods were remarkably accurate for his time.

Aryabhatta Biography- Observatories

Aryabhatta is also believed to have established an observatory at the Sun temple in Taregana, Bihar. This observatory would have allowed him to conduct astronomical observations, further enhancing his studies and findings.t

Aryabhatta’s contributions to mathematics and astronomy are immense and enduring. His pioneering work has inspired generations of scholars and continues to be relevant even today. Aryabhatta’s legacy as a brilliant mathematician and astronomer from ancient India remains a beacon of knowledge and curiosity.

1. What were Aryabhatta’s major works? Aryabhatta’s major works include the *Aryabhatiya* and the *Arya-siddhanta* .

2. What did Aryabhatta contribute to mathematics? Aryabhatta contributed to the place value system, provided an approximation of pi, and introduced trigonometric functions like sine and cosine.

3. How did Aryabhatta explain eclipses? Aryabhatta explained that the shadows cast by the Earth and the Moon cause solar and lunar eclipses.

4. Where did Aryabhatta study? Aryabhatta is believed to have studied and lived in Kusumapura, identified with modern Patna, Bihar.

5. Did Aryabhatta propose the heliocentric theory? Aryabhatta proposed that the Earth rotates on its axis, a revolutionary idea that was a precursor to the heliocentric theory.

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Essay on Aryabhatta

Aryabhatta is credited as being India's first-ever Mathematician and an astronomer. He had a great deal of experience and training in Mathematics. In addition to this, he found several things of which Indians continue to be proud of even now. Here are some sample essays on the topic ‘Aryabhatta’:

  • 100 Words Essay on Aryabhatta

Aryabhatta was born in the year 475 A.D. The location of his birth is uncertain. However, his book "Aryabhatiya" claims that he resided at Kusumpura, which corresponds to the city of Patna in the contemporary day. Aryabhata is credited with writing several influential publications, many of which are considered mathematical canon. In the subject of mathematics, Aryabhatta was an inspiration to a significant number of young people and students. To this day, his contribution to society is highly esteemed. His famous discoveries include algebraic identities, trigonometric functions, the value of pi, and the place value system, among other things.

200 Words Essay on Aryabhatta

500 words essay on aryabhatta.

Essay on Aryabhatta

Aryabhatta is credited with discovering that the earth revolves on its axis; this was a significant finding at the time. In addition, he was a forerunner of the geocentric concept of the solar system, which asserted that the earth is the focal point of the whole cosmos. It is the centre of rotation for the sun, the moon, and the planets. Eclipses of both the sun and the moon were discussed in his work as well. His book mentioned that solar and lunar eclipses occur due to the earth and the moon casting shadows on each other.

Aryabhatta’s Education

Archaeologists continue to believe, even to this day, that Aryabhatta carried on with his education at Kusumpura. The fact that substantial works of his relating to astronomy were discovered at Kusumpura is the basis for the beliefs. As a result, it is plausible to assume that Aryabhatta resided in this region for most of his life. In addition, several historians think he served as the principal of Nalanda University, located in Kusumpura. Aryabhatta's texts are the only evidence that can be considered reliable; hence all of the other arguments and speculations are just based on assumptions and educated guesses. Some of the documents went missing, and they have just been located.

It is possible that Aryabhatta's estimations in astronomy were close to the mark in terms of precision. Aryabhatta's ideas are responsible for developing the fundamental building blocks of the paradigm used in computing. Because he developed such things that can't be envisaged in the current day without the conveniences of modern technology, we, as residents of India, need to feel proud of Aryabhatta. He is responsible for the invention of such things.

Aryabhatta’s Work

Aryabhatta contributed much to mathematics. He discovered trigonometric functions that are used today. His discovery of "pi" simplified arithmetic. The place value system and ‘zero’ were his most significant mathematical accomplishments. His book "Aryabhatiya" contains all his astronomical ideas. His work also separates mathematics and astronomy. Aryabhatta made significant contributions to astronomy and mathematics. He postulated the heliocentric idea that planets orbit the Sun. He computed planet speeds relative to the Sun using this idea. He also estimated the sidereal rotation of the earth relative to the stars. He also established the sidereal year at 365 days, 6 hours, 12 minutes, and 30 seconds, barely 3 minutes and 20 seconds from the contemporary number.

Aryabhatta Legacy

Not only did Aryabhatta leave behind a legacy of knowledge in Indian culture but also in ancient civilisations near India. His astronomical findings were widely accepted and even translated into the languages of a number of the nations nearby. His idea that all of the planets revolve around a central point was validated by discoveries made in the contemporary world, which demonstrated that he was correct in his assertion that the sun occupies the position of centrality in the solar system. Aryabhatta also provided a concise explanation of the phenomenon of a lunar eclipse, including its causes and effects. The contemporary world holds him in extremely high esteem for all of the contributions that he made to the field of cosmology. His legacy of knowledge is highly regarded.

Interesting Facts About Aryabhatta

Aryabhatta gave the world its first definitions of concepts such as the equator, vertical, horizon, meridian, and parallax.

Aryabhata was the first astronomer to postulate that the earth's rotation was responsible for the apparent motion of the stars.

Aryabhatta introduced the concept of zero and included it in his place value system.

Couplets of poems make up the Aryabhatiya, which Aryabhata authored.

Arybhatiya is separated into several divisions titled Gitikapadam, Ganitapada, Kalakriyapada, and Golapada

Aryabhatta’s Impact

The influence that Aryabhatta's legacy of knowledge has had on India and the civilisations surrounding it is undeniable. Scholars from all around the globe had faith in his ideas and translated them into other languages so that more people might understand them. The findings of contemporary science have shown without a reasonable doubt that Aryabhata's hypotheses and explanations were spot on.

Great Arabian intellectuals, such as Al- Khawarizmi and Al- Biruni, are known to have referenced several of his works in their writings. His work on defining cosine and sine contributed to advancements in trigonometry. Not only is Aryabhatta's legacy celebrated all over the globe, but it has also been shown to have made a considerable contribution to improving people's lives.

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Aryabhatta Essay | Essay on Aryabhatta for Students and Children in English

February 12, 2024 by Prasanna

Aryabhatta Essay: The moment we hear the word Aryabhatta ‘zero’ is what comes to our mind but a lot of us don’t know that Aryabhatta has discovered and invented a lot many other things other than just inventing zero. Other than being a brilliant mind of the time, Aryabhatta is a true success story of India on how hard work and dedication can make you a great person.

Aryabhatta is a testimony for the intelligence and advanced thinking that Indian society had thousands of years back and in this particular Aryabhatta essay, we are going to discuss what Aryabhatta represents to today’s Indians and what has been his influence over the world in the recent times.

You can read more  Essay Writing  about articles, events, people, sports, technology many more.

Long and Short Essays on Aryabhatta for Students and Kids in English

If you are searching for a well researched Aryabhatta essay then we have provided two types of essay, 600-word long Aryabhatta essay and a short 200-word Aryabhatta essay which can be used by school students of 6, 7, 8, 9, 10, 11 and 12 and also can be used by college students and university students.

Long Essay on Aryabhatta 600 Words in English

Aryabhatta Essay is usually given to classes 7, 8, 9, and 10.

Aryabhatta, the great scientist and mathematician from India was born in a small place in Bihar known as Aryabhatta during the Gupta dynasty. He was one of the greatest minds of the millennium who discovered the basics of mathematics that children are taught today in every school around the world. Aryabhatta was the one who worked out the entire value of Pi and this value is used in various inventions and discoveries by scientists around the world.

Being a devout Hindu, Aryabhatta used many cultures and idiosyncrasies in the Hindu scriptures to discover various theories in mathematics one of which was the calculation of the volume of a sphere and the calculation of the area of a triangle. It is said that he came up with the formula of area of triangle and volume of Sphere through the “home”, a type of Hindu ritual, only that is performed in Hindu culture. Although there is no substantial proof to back this theory, the fact can’t be denied that Aryabhatta was a staunch devotee of Hindu culture and many of his inventions were influenced from the scriptures of Bhagavad Gita.

Aryabhatta is popularly known for inventing the number zero. He also invented the number system as we know today. Aryabhatta is not just a mathematician but a physicist and an astronomer too. Aryabhatta was good with words and had written tree astronomical books but only one of the books known as Aryabhata is known to man today.

He was the first person to establish that Earth and other planets in the solar system have its own axis and they rotate around its axis and revolve around the sun on its own axis. It is said that many of his theories, inventions and discoveries were ridiculed by the people then and were not accepted wholeheartedly in the scientific community back in the time but most of his inventions today are celebrated and his theories have given birth to many more inventions that have made the life simpler on earth.

Add 4 to 100, multiply by 8 and add to 62000. This is the circumference of a circle whose diameter is 20000. This was one of the most popular riddles stated by Aryabhatta that changed the way mathematics, physics and astronomy are studied around the world.

The life of aryabhatta has to be taught to children all around the world because his life is filled with stories of inspirations and struggles. Having been born into a humble family and at a time where scientific discoveries were frowned upon by religious leaders, Aryabhatta overcame all the odds and discovered various things in mathematics, astronomy and physics that the scientists today are thankful for. To stand up against the entire society of blind belief and establish scientific theories thousands of years back was in itself a great accomplishment by Aryabhatta.

I would like to conclude by saying that without the inventions and the brilliance of the first mathematician of India, Aryabhatta, the science as we study today would be very different. It was because of his inventions of a number system, area of triangle or volume of a sphere that many other inventions were given birth to. If science can be traced back, experts suggest that even the technological revolution that is happening today, for example, the writing of binary codes, was all possible because of the invention of the number system and the invention of the number zero by Aryabhatta. The people of India and people of the world owes a great amount of gratitude to this great scientist and mathematician, Aryabhatta

Short Essay on Aryabhatta 200 Words in English

Aryabhatta Essay is usually given to classes 1, 2, 3, 4, 5, and 6.

Aryabhatta is a mathematician who had a humble beginning during the Gupta dynasty in a small village in Bihar known as Aryabhata. Breaking all the religious stereotypes and social stigma at that point of time, Aryabhatta rose above all the difficulties and became the first mathematician and scientist of India and gave birth to the theories of modern science and mathematics that we study today.

Aryabhatta was the first mathematician, astronomer and scientist of India who created or discovered the number zero, the place value system, algebraic identities, trigonometrical functions, the value of pi, the shape of the solar system and the whole concept of rotation and revolution of planets. The contribution of Aryabhatta to the field of science and mathematics is immense. Because of his discoveries and inventions, a lot of other discoveries in various other fields from physics to medicine to engineering has been given birth to. The scientific community of today is forever grateful to the inventions of Aryabhatta thousands of years back.

I would like to conclude by saying that the inventions of Aryabhatta stand as a testimony for the intellectual brilliance and advanced thinking of Indian society thousands of years back. Although the credit for many scientific discoveries is taken by people from the west, the inventions and discoveries by Indians and Hindus in the country thousands of years back holds a special place in the world of science and mathematics.

10 Lines on Aryabhatta Essay in English

  • Aryabhatta was the first Indian mathematician, physicist and astronomer who created groundbreaking theories and inventions.
  • Aryabhatta was born in a small place called Aryabhata in Bihar during the Gupta dynasty.
  • Aryabhatta worked out the value of pi which is used today by scientists and mathematicians all around the world.
  • It was Aryabhatta who discovered the formula for the area of a triangle and the volume of the sphere which has given birth to various inventions and discoveries in the field of engineering today.
  • Aryabhatta wrote three books on astronomy and only one of which called Aryabhata is in existence today.
  • Aryabhatta was the one who discovered the entire model of the solar system and the concept of rotation and revolution of planets.
  • The inventions of Aryabhatta at that point of time crossed the borders of India and was celebrated all across the world.
  • The initial reactions to the inventions and discoveries of Aryabhatta was that of ridicule and rejected by religious people back then.
  • The mathematical books that he has written deals with the theories of trigonometry, arithmetic, algebra, quadratic equations and many more that are being used even today.
  • The scientific community of today is forever grateful for the inventions of Aryabhatta which has given birth to the progress of science and the world as we know it.

FAQ’s on Aryabhatta Essay

Question 1. What did Aryabhatta Discover?

Answer: Aryabhatta discovered the value of pi, the entire concept of rotation and revolution of the earth in the solar system, number system and many more.

Question 2. Where was Aryabhatta born?

Answer: Aryabhatta was born in a small village called Aryabhata in the state of Bihar of India.

Question 3. What is the importance of the discoveries of Aryabhatta in today’s world?

Answer: The discovery of the number system, the number zero and the structure of the solar system have cascading implications on the science that we study today. The engineering marvels that we see across the whole world today is possible because of the basic theories that was invented by Aryabhatta.

Question 4. When was Aryabhatta born?

Answer: It is predicted that Aryabhatta was born during 476 AD.

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Essay on Aryabhatta | 500+ Words

Aryabhata, a name that echoes through the annals of history, was an extraordinary Indian mathematician and astronomer who lived more than 1,500 years ago. In this essay, we will delve into the remarkable life and achievements of Aryabhata, exploring why he deserves recognition and admiration.

Aryabhata’s Background

Aryabhata was born in 476 CE in ancient India, a land steeped in rich traditions of mathematics and astronomy. During his time, he made groundbreaking contributions that laid the foundation for future advancements in these fields. His seminal work, the “Aryabhatiya,” was a mathematical and astronomical masterpiece that showcased his genius.

Innovations in Mathematics

Aryabhata revolutionized mathematics with his invention of the decimal system. He introduced the concept of “zero” (0) as a placeholder, a fundamental idea that made arithmetic calculations significantly more efficient. His contributions to mathematics were pivotal in shaping modern mathematics.

Astronomical Prowess

Aryabhata was not only a mathematician but also a brilliant astronomer. He accurately calculated the length of a year, which he determined to be 365 days, 6 hours, 12 minutes, and 30 seconds. His precise measurements of celestial bodies paved the way for future astronomers.

Innovative Trigonometry

Aryabhata made significant advancements in trigonometry. He introduced trigonometric functions and tables, making it easier to perform complex astronomical calculations. His work greatly influenced the field of trigonometry, which is still studied today.

Understanding the Solar System

Aryabhata proposed a heliocentric model of the solar system, in which he suggested that the Earth and other planets revolve around the Sun. This idea was revolutionary for its time and laid the groundwork for modern heliocentric theories.

Pi and Square Roots

Aryabhata approximated the value of pi (π) as 3.1416, a remarkable approximation considering the tools available during his era. He also developed methods for finding square roots, another significant mathematical achievement.

Legacy and Influence

Aryabhata’s work had a profound impact not only in India but also in neighboring regions and even beyond. His ideas traveled along trade routes and influenced scholars in the Islamic world and Europe, contributing to the global advancement of mathematics and astronomy.

Conclusion of Essay on Aryabhatta

In conclusion, Aryabhata was an intellectual giant of his time, a mathematician and astronomer whose contributions continue to shape our world today. His innovative ideas in mathematics, astronomy, and trigonometry set the stage for centuries of scientific progress. Aryabhata’s legacy is a testament to the power of human curiosity, intelligence, and dedication to expanding the boundaries of knowledge.

As we reflect on the life and achievements of Aryabhata, we are reminded of the timeless quest for understanding the universe and the infinite potential of the human mind. Aryabhata’s work serves as an inspiration for future generations of scientists, mathematicians, and astronomers, reminding us that the pursuit of knowledge knows no boundaries and that brilliance can emerge from the most unexpected places and times.

Through his mathematical genius and astronomical insights, Aryabhata has left an indelible mark on the world, and we are all beneficiaries of his enduring legacy.

Also Check: The Essay on Essay: All you need to know

  • Hinduism, Indian culture, Vedic Science, Yoga, Spirituality, India

biography of aryabhatta in 300 words

Aryabhata: The First Great Astronomer of Classical Age

Aryabhata the Elder lived from 476 to 550 

Aryabhata  is also known as  Aryabhata I  to distinguish him from the later mathematician of the same name who lived about 400 years later. Al-Biruni has not helped in understanding Aryabhata’s life, for he seemed to believe that there were two different mathematicians called Aryabhata living at the same time. He therefore created a confusion of two different Aryabhatas which was not clarified until 1926 when B Datta showed that al-Biruni’s two Aryabhatas were one and the same person.

We know the year of Aryabhata’s birth since he tells us that he was twenty-three years of age when he wrote  Aryabhatiya  which he finished in 499. We have given Kusumapura, thought to be close to Pataliputra (which was refounded as Patna in Bihar in 1541), as the place of Aryabhata’s birth but this is far from certain, as is even the location of Kusumapura itself. As Parameswaran writes in [26]:-

… no final verdict can be given regarding the locations of Asmakajanapada and Kusumapura.

We do know that Aryabhata wrote  Aryabhatiya  in Kusumapura at the time when Pataliputra was the capital of the Gupta empire and a major centre of learning, but there have been numerous other places proposed by historians as his birthplace. Some conjecture that he was born in south India, perhaps Kerala, Tamil Nadu or Andhra Pradesh, while others conjecture that he was born in the north-east of India, perhaps in Bengal. In [8] it is claimed that Aryabhata was born in the Asmaka region of the Vakataka dynasty in South India although the author accepted that he lived most of his life in Kusumapura in the Gupta empire of the north. However, giving Asmaka as Aryabhata’s birthplace rests on a comment made by Nilakantha Somayaji in the late 15 th  century. It is now thought by most historians that Nilakantha confused Aryabhata with Bhaskara I who was a later commentator on the  Aryabhatiya.

We should note that Kusumapura became one of the two major mathematical centres of India, the other being Ujjain. Both are in the north but Kusumapura (assuming it to be close to Pataliputra) is on the Ganges and is the more northerly. Pataliputra, being the capital of the Gupta empire at the time of Aryabhata, was the centre of a communications network which allowed learning from other parts of the world to reach it easily, and also allowed the mathematical and astronomical advances made by Aryabhata and his school to reach across India and also eventually into the Islamic world.

As to the texts written by Aryabhata only one has survived. However Jha claims in [21] that:-

… Aryabhata was an author of at least three astronomical texts and wrote some free stanzas as well.

The surviving text is Aryabhata’s masterpiece the  Aryabhatiya  which is a small astronomical treatise written in 118 verses giving a summary of Hindu mathematics up to that time. Its mathematical section contains 33 verses giving 66 mathematical rules without proof. The  Aryabhatiya  contains an introduction of 10 verses, followed by a section on mathematics with, as we just mentioned, 33 verses, then a section of 25 verses on the reckoning of time and planetary models, with the final section of 50 verses being on the sphere and eclipses.

There is a difficulty with this layout which is discussed in detail by van der Waerden in [35]. Van der Waerden suggests that in fact the 10 verse  Introduction  was written later than the other three sections. One reason for believing that the two parts were not intended as a whole is that the first section has a different meter to the remaining three sections. However, the problems do not stop there. We said that the first section had ten verses and indeed Aryabhata titles the section  Set of ten giti stanzas.  But it in fact contains eleven giti stanzas and two arya stanzas. Van der Waerden suggests that three verses have been added and he identifies a small number of verses in the remaining sections which he argues have also been added by a member of Aryabhata’s school at Kusumapura.

The mathematical part of the  Aryabhatiya  covers arithmetic, algebra, plane trigonometry and spherical trigonometry. It also contains continued fractions, quadratic equations, sums of power series and a table of sines. Let us examine some of these in a little more detail.

First we look at the system for representing numbers which Aryabhata invented and used in the  Aryabhatiya.  It consists of giving numerical values to the 33 consonants of the Indian alphabet to represent 1, 2, 3, … , 25, 30, 40, 50, 60, 70, 80, 90, 100. The higher numbers are denoted by these consonants followed by a vowel to obtain 100, 10000, …. In fact the system allows numbers up to 10 18 to be represented with an alphabetical notation. Ifrah in [3] argues that Aryabhata was also familiar with numeral symbols and the place-value system. He writes in [3]:-

… it is extremely likely that Aryabhata knew the sign for zero and the numerals of the place value system. This supposition is based on the following two facts: first, the invention of his alphabetical counting system would have been impossible without zero or the place-value system; secondly, he carries out calculations on square and cubic roots which are impossible if the numbers in question are not written according to the place-value system and zero.

Next we look briefly at some algebra contained in the  Aryabhatiya.  This work is the first we are aware of which examines integer solutions to equations of the form  by  =  ax  +  c  and  by  =  ax  –  c , where  a ,  b ,  c  are integers. The problem arose from studying the problem in astronomy of determining the periods of the planets. Aryabhata uses the kuttaka method to solve problems of this type. The word  kuttaka  means “to pulverise” and the method consisted of breaking the problem down into new problems where the coefficients became smaller and smaller with each step. The method here is essentially the use of the Euclidean algorithm to find the highest common factor of  a  and  b  but is also related to continued fractions.

Aryabhata gave an accurate approximation for π. He wrote in the  Aryabhatiya  the following:-

Add four to one hundred, multiply by eight and then add sixty-two thousand. the result is approximately the circumference of a circle of diameter twenty thousand. By this rule the relation of the circumference to diameter is given.

This gives π =  62832 / 20000  = 3.1416 which is a surprisingly accurate value. In fact π = 3.14159265 correct to 8 places. If obtaining a value this accurate is surprising, it is perhaps even more surprising that Aryabhata does not use his accurate value for π but prefers to use √10 = 3.1622 in practice. Aryabhata does not explain how he found this accurate value but, for example, Ahmad [5] considers this value as an approximation to half the perimeter of a regular polygon of 256 sides inscribed in the unit circle. However, in [9] Bruins shows that this result cannot be obtained from the doubling of the number of sides. Another interesting paper discussing this accurate value of π by Aryabhata is [22] where Jha writes:-

Aryabhata I’s value of π is a very close approximation to the modern value and the most accurate among those of the ancients. There are reasons to believe that Aryabhata devised a particular method for finding this value. It is shown with sufficient grounds that Aryabhata himself used it, and several later Indian mathematicians and even the Arabs adopted it. The conjecture that Aryabhata’s value of π is of Greek origin is critically examined and is found to be without foundation. Aryabhata discovered this value independently and also realised that π is an irrational number. He had the Indian background, no doubt, but excelled all his predecessors in evaluating π. Thus the credit of discovering this exact value of π may be ascribed to the celebrated mathematician, Aryabhata I.

We now look at the trigonometry contained in Aryabhata’s treatise. He gave a table of sines calculating the approximate values at intervals of 90°/24 = 3° 45′. In order to do this he used a formula for sin( n +1) x  – sin  nx  in terms of sin  nx  and sin ( n -1) x . He also introduced the versine (versin = 1 – cosine) into trigonometry.

Other rules given by Aryabhata include that for summing the first  n  integers, the squares of these integers and also their cubes. Aryabhata gives formulae for the areas of a triangle and of a circle which are correct, but the formulae for the volumes of a sphere and of a pyramid are claimed to be wrong by most historians. For example Ganitanand in [15] describes as “mathematical lapses” the fact that Aryabhata gives the incorrect formula  V  =  Ah /2 for the volume of a pyramid with height h and triangular base of area  A . He also appears to give an incorrect expression for the volume of a sphere. However, as is often the case, nothing is as straightforward as it appears and Elfering (see for example [13]) argues that this is not an error but rather the result of an incorrect translation.

This relates to verses 6, 7, and 10 of the second section of the  Aryabhatiya  and in [13] Elfering produces a translation which yields the correct answer for both the volume of a pyramid and for a sphere. However, in his translation Elfering translates two technical terms in a different way to the meaning which they usually have. Without some supporting evidence that these technical terms have been used with these different meanings in other places it would still appear that Aryabhata did indeed give the incorrect formulae for these volumes.

We have looked at the mathematics contained in the  Aryabhatiya  but this is an astronomy text so we should say a little regarding the astronomy which it contains. Aryabhata gives a systematic treatment of the position of the planets in space. He gave the circumference of the earth as 4 967 yojanas and its diameter as 1 581 1 / 24  yojanas. Since 1 yojana = 5 miles this gives the circumference as 24 835 miles, which is an excellent approximation to the currently accepted value of 24 902 miles. He believed that the apparent rotation of the heavens was due to the axial rotation of the Earth. This is a quite remarkable view of the nature of the solar system which later commentators could not bring themselves to follow and most changed the text to save Aryabhata from what they thought were stupid errors!

Aryabhata gives the radius of the planetary orbits in terms of the radius of the Earth/Sun orbit as essentially their periods of rotation around the Sun. He believes that the Moon and planets shine by reflected sunlight, incredibly he believes that the orbits of the planets are ellipses. He correctly explains the causes of eclipses of the Sun and the Moon. The Indian belief up to that time was that eclipses were caused by a demon called Rahu. His value for the length of the year at 365 days 6 hours 12 minutes 30 seconds is an overestimate since the true value is less than 365 days 6 hours.

Bhaskara I who wrote a commentary on the  Aryabhatiya  about 100 years later wrote of Aryabhata:-

Aryabhata is the master who, after reaching the furthest shores and plumbing the inmost depths of the sea of ultimate knowledge of mathematics, kinematics and spherics, handed over the three sciences to the learned world.

~    J J O’Connor  and  E F Robertson

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  • Aryabhatta Essay In English

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Aryabhatta: The Master of Mathematics

Aryabhatta was the first mathematician and astronomer of India. He had acquired vast knowledge in the field of mathematics. He also discovered several things for which Indians feel proud of even now. His renowned discoveries were algebraic identities, trigonometric functions, the value of pi, and the place value system, etc. Aryabhatta wrote many famous books which are treated as Bible in Mathematics. Many youngsters were inspired by Aryabhatta in the field of mathematics. His contribution to society is highly acclaimed to date.

Early Life 

Aryabhatta was born in 475 A.D. in an unknown place. But according to his book ‘Aryabhatiya’, he lived in Kusumpura, the modern-day Patna. The archaeologists hold this belief till today that he continued his studies in Kusumpura. The reason behind the beliefs is his significant works of astronomy were found in Kusumpura.

Therefore, it can be believed that Aryabhatta spent most of his life in this place. Besides this, it is believed by some historians that he was the head of the Nalanda University in Kusumpura. All of the aforementioned theories are based on guesses and hypotheses because no proper evidence is there except the books written by Aryabhatta. Some of the records were lost and are not found until now. 

Contributions of Aryabhatta 

The major contribution of Aryabhatta was in the field of mathematics. Various trigonometric functions were discovered by him which are very much relevant in modern-day mathematics. Aryabhatta’s invention regarding the value of ‘pi’ eradicates the complications in mathematics. But, his invention of place value and zero is the masterstroke in the domain of mathematics. There are many astronomical theories written in the book ‘Aryabhatiya’. 

Aryabhatta was not only efficient in Mathematics but he also had immense knowledge of astronomy. According to his heliocentric theory, planets revolve around the sun. He calculated the speed of the various planets concerning the Sun with the help of his theory. The sidereal rotation was also calculated by him. One of his major discoveries in the field of astronomy was the sidereal year which states that it should be 365 days, 6 hours, 12 minutes, and 30 seconds in a year. This deviates from the present-day value by only 3 minutes and 20 seconds. 

It was Aryabhatta who correctly discovered the fact that the earth rotates on its axis. He also anticipated the geocentric model of the solar system which said the earth to be the centre of the universe. The sun, the moon, and the planets rotate around it. Solar and lunar eclipses were also described in his book. The fact that solar eclipse and lunar eclipse take place due to the shadow-casting of the earth and the moon was explained in his book.  

It can be said that the approximations made by Aryabhatta in the field of astronomy were very much accurate. The core of the computational paradigm is generated by the theories of Aryabhatta. As Indian citizens, we should feel proud of Aryabhatta because he had invented such things which can’t be imagined in the present day without the facilities of modern equipment. 

The Legacy of Aryabhatta

Aryabhatta left a legacy of wisdom not only in Indian culture but also in the neighbouring cultures. His astronomical observations were very believed and translated into various languages of the neighbouring countries. The modern world discoveries proved that he was right about the position of the sun being in the centre of the solar system and his theory on all the planets revolving around the centre. Aryabhatta also gave a brief introduction to why and how a lunar eclipse takes place. His legacy of knowledge is very well praised in the modern world for all the contributions he made in cosmology. 

Aryabhatta is very well known as the father of Indian Mathematics. He made various mathematical discoveries. The most well-known is the value of pi. Aryabhatta is the one who gave all the digits of the value of pi. These discoveries may seem minor but they did change the course of the development of concepts of a complex subject like mathematics.

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FAQs on Aryabhatta Essay In English

1. What was discovered by Aryabhatta?

Aryabhatta is one of the most renowned Indian mathematicians. He was the one who formulated the first 10 decimal places. He also gave the algorithms that are used for obtaining a square root and a cubic root. He also explained how we should use the decimal number system. He introduced the trigonometric system and the entire value of pi. Aryabhatta is also a very famous astronomer. He was able to prove that the sun is located at the centre of the solar system and all the planets revolve around the sun.

2. Did Aryabhatta discover ‘zero’?

Yes, Aryabhatta discovered zero. Aryabhatta gave the digit ‘0’. For this discovery, Aryabhatta is considered immortal. Not only zero, but Aryabhatta also made many other contributions in mathematics. He is also known as the Father of Indian mathematics due to his contributions. Aryabhatta discovered zero by using it in the decimal system. He made the concept of zero and used it in large numbers. Aryabhatta made many more discoveries in mathematics such as trigonometric equations, the value of pi, equations on mathematical progression, and quadratic equations.

3. How important are Aryabhatta’s discoveries to the modern world?

All of Aryabhatta’s discoveries are of utmost importance to the modern world. Whether it is the discovery of the position of the sun in the solar system or equations in mathematics. Aryabhatta did commendable work that led to so many discoveries that are the base of so many technologies of the modern world. The most important discovery is the discovery of zero, the value of pi, and the decimal system. This solved many mathematical theories and led to many modern-day equations used to solve many problems. 

4. Which book did Aryabhatta write?

Aryabhatta authored various books. His books are mostly on mathematics and astronomy. Aryabhatta’s most renowned book is Aryabhatiya. Aryabhatiya talks about mathematics and astronomy. This book is written in Sanskrit, though it is available in translated texts. This book is divided into four sections and has a total of 121 verses. This book gives brief information on cosmology and mathematics. In cosmology, Aryabhatta gives information on the location of the sun and the planets. In mathematics, there are verses on mathematical progression, geometry, and quadratic equations.

5. What is the education of Aryabhatta?

Aryabhatta completed his education at the ancient University of Nalanda. He, later on, served as the head of that same Institute. The University of Nalanda was located in Pataliputra in that AD. During his stay at the university, he explained how the sun is located at the centre of the solar system and the planets revolve around it. He later relocated to Bihar where he continued his studies at one of the study centres in Kusumapura. He settled in Bihar and spent most of his life there.

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Essay on Aryabhatta for Students & Children in English [Easy Words]

January 16, 2021 by Sandeep

Essay on Aryabhatta: The first mathematician who discovered ‘0’ and ‘pi’ was Aryabhata. He was a genius mathematician from Bihar who lived during the Gupta dynasty rule. He was an ardent believer of Hindu traditions and greatly influenced by Bhagavad Gita’s teachings. He invented the number system and alongside an expert physicist and astronomer too. His groundbreaking theories on mathematics changed the way the world looks at science today. He discovered formulae for the area of triangle and volume of sphere.

Essay on Aryabhatta 500 Words in English

Below we have provided Aryabhatta Essay in English, suitable for class 5, 6, 7, 8, 9 & 10.

1500 Years ago “INDIAN” taught the world how to count. ”ARYABHATTA” INVENTED “ZERO”

He was born in a place called Aryabhata, in Bihar, and flourished in Kusumapura, near Pataliputra, the capital of the Gupta dynasty at that time. Aryabhatta, one of the most prolific mathematicians and astronomers ever to walk on Earth, was a quintessential influence on the Indian subcontinent’s astronomical culture and tradition. The origin of Earth being round and flat by Aryabhata was confirmed some thousand years later by the Western world. It explains his exceptional discernment and how futuristic his ideas were, as he did not have access to any science or technical equipment. Imagine what it would have been if equations were not based on trigonometric bases.

Countless mega-inventions should have been late or incomplete. Hindu, as well as the Buddhist traditions together, have described Aryabhata as having received the modern Patna education from Kusumpura. In fact, at some point in time, he is believed to have been the head of Nalanda University. Aryabhata is adulated for building an observatory at Bihar’s Sun Temple. Several archaeological testimonies indicate that it emerged in Kodungallur from the present day.

Works of Aryabhatta

His work Aryabhatiya consists astonishingly of several mathematical calculations and methodologies which have been followed even today. It covers algebra, trigonometry, arithmetic, fractions, quadratic equations, etc. The book of 108 verses is divided into four chapters, namely Gitikiapada, Ganitapada, Kalakriyapada, Golapada and others. His disciple Bhaskara I rediscovered this literature of the sutras.

Additionally, Arya-Siddhanta is a work of astronomical computations which Varahamira, Bramhagupta, and Bhaskara once lost and later revived. Persian scholar and Indian chronicler Al-Biruni listed the third Al-nanf development of Aryabhata that survived in translation into Arabic.

Contributions of Aryabhatta – Mathematical Discoveries

The reputation and influence of Aryabhatta originate from several groundbreaking achievements. His invention of the place value system was the basis of zero numeral in mathematics, a part which need not be clarified as indispensable. He worked successfully in Pi approximation and concluded that it was an irrational number. This was remarkable because no other genius in mathematics has even done it before him, and even today, his methods continue to elude the greatest minds.

He found that Pi could be used for measuring the circumference of a sphere. His measurement of the diameter of a sphere is genius phenomenally. In his calculations, Aryabhata never used Brahmi numerals; in fact, he used the letter of alphabets to represent the numbers he required. His trigonometric assessments estimate triangle area. Aryabhatta also developed sophisticated algebraic and indeterminate equations, such as series and cubes summation, as well as Diophantine equations.

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Aryabhatta Great Astronomer of India, Aryabhata Biography (Birth, Death and Compositions)

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  • Post published: March 26, 2022
  • Post category: Scientist (वैज्ञानिक)
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Aryabhatta is counted among the great astronomers of India. He put the secrets of the universe in front of the world at that time, when the whole world could not even learn to count properly. Aryabhatta Great Astronomer of India, Aryabhata Biography (Birth, Death and Compositions). This is the reason that when the Government of India on 19 April 1975, when they launched their first artificial satellite, they named it “Aryabhata”. Some people also write Aryabhata as “Aryabhata”, but this is incorrect. His real name is Aryabhatta. The word Bhat means “warrior”.

आर्यभट्ट की जीवनी हिंदी में – “ Click here ”

Born – 476 AD

Death – 550 AD

Aryabhatta’s early life

Some scholars are of the opinion that Aryabhatta was born in Kusumpur. Kusumpur is considered a city of Pataliputra (now Patna). While some scholars consider Pataliputra as Kusumpur. The reason for this confusion is that Aryabhata did not give any information about himself in his book. He has written that 3600 years of Kali Yuga have passed and my age (age) is 23 years. According to the Indian time calculation, the beginning of Kali Yuga is considered to be in 3101 AD. In this way, the composition period of Aryabhata stands at 499 AD. Thus Aryabhata was born in 476, most scholars consider Aryabhata’s birth place to be Kerala because most of the texts of Aryabhata’s book ‘Aryabhatiya’ were composed in South India and especially in Kerala. From this it is clear that Aryabhata was born in Kerala itself.

Aryabhata’s education

Aryabhatta went to Kusumpur for higher education and spent a lot of time there. Bhaskara I (629 AD) has identified Kusumpur as Pataliputra (modern Patna). At that time the name of its kingdom was Magadha and its capital was Pataliputra. At that time Nalanda University was established in Pataliputra. There was a world renowned center of that study. Aryabhata, which became very famous in time.

Aryabhatta’s compositions

It is believed that Aryabhatta composed three texts in Sanskrit language. Its names are Dashgitika, Aryabhata, and Tantra. But today only 34 verses of this book are available. The name of the main text of Aryabhata is ‘Aryabhatiya’ (some people also call it ‘Aryabhatiya’). In this, square root, money root, parallel series and different types of equations have been described. Aryabhatiya is an important work of ancient India. Aryabhata has written it in the form of Sanskrit shlokas. In this book written in Sanskrit language, revolutionary formulas related to mathematics and astronomy were given. There are total 121 verses in the book. These are divided into four sections. The names of these sections are Geetikapad, Ganitapada, Kalakriyapad and Golapada.

– Geetikapada: This is the shortest part of the four volumes of Aryabhatiya. It has total 13 verses. The first verse of this section is invocation. This and 9 other verses of this section are in Geetika verses. That’s why this section is called Geetikapada.

– Ganitapada : Mathematics has been discussed in this section. It has total 33 verses. This section deals with Arithmetic, Algebra, and Geometry.

– Kalkriyapada : Kalakriyapada means calculation of time. There are verses in this section. This section focuses on astronomy. It describes the division of time and circle, solar year, lunar month, constellation day, interstellar month, motions.

 – Golpada : This is the largest and most important section of Aryabhata. There are total 50 verses in this section. In this section, the method of representation of planetary motions in a celestial sphere is explained. Aryabhata says that the earth is the center of the universe and rotates in its place. In fact, Aryabhata was the first Indian astronomer.

Aryabhatta and Astronomy

Aryabhatta was a remarkable scientist. He studied the sky without binoculars etc. He told such important formulas of astronomy.

1 . Earth rotates on its axis: At that time it was believed that the earth is stationary and all astronomy revolves around it. Aryabhata found from his study that this theory is wrong. He said that the earth is round, it rotates on its axis, that is why we see it rotating round.

2 . The period of the celestial bodies: Aryabhatta, from his experience, had told the period of rotation of the earth on its axis with respect to the fixed stars. He told that the Earth makes one revolution in 23 hours, 56 minutes and 4.1 seconds. Whereas the actual rotation time of the Earth is 23 hours 56 minutes and 4.091 seconds. This time is almost equal to the value calculated by Aryabhata. Similarly Aryabhata told that 1 year is 365 days, 6 hours, 12 minutes and 30 seconds.

Aryabhatta’s legacy

Aryabhatta was sharply criticized by his contemporary and paradoxical astronomer. Astronomer Brahmagupta criticized Aryabhata for dividing the yuga into four equal parts to calculate the speed of rotation of the earth. But he believed that eclipses are caused by the shadows of the Moon and the Earth. The prominent disciples of Aryabhata include the names of Pandurangaswamy, Latadeva, Prabhakara and Nishanku. Based on Aryabhata and his principles, the date calculation calendar made by his followers has been very popular in India. On the basis of his calculations, in 1073 the letter ‘Jalali’ was prepared, which is used today as the national calendar in Iran and Afghanistan. Keeping in view the mathematical and astronomical contribution of Aryabhata, India’s first satellite was named after him. Not only this, the name of the crater on the Moon and the bacteria (Bacillus Aryabhata) discovered by ISRO scientist in 2009 have also been named after him. Aryabhata Research Institute of Observational  science. ARIES has been established near Nainital in his honor. In which research work is done on astronomy, physical and atmospheric sciences. By this the importance of their work becomes self-evident.

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 MacTutor

Aryabhata the elder.

... no final verdict can be given regarding the locations of Asmakajanapada and Kusumapura.
... Aryabhata was an author of at least three astronomical texts and wrote some free stanzas as well.
... it is extremely likely that Aryabhata knew the sign for zero and the numerals of the place value system. This supposition is based on the following two facts: first, the invention of his alphabetical counting system would have been impossible without zero or the place-value system; secondly, he carries out calculations on square and cubic roots which are impossible if the numbers in question are not written according to the place-value system and zero.
Add four to one hundred, multiply by eight and then add sixty-two thousand. the result is approximately the circumference of a circle of diameter twenty thousand. By this rule the relation of the circumference to diameter is given.
Aryabhata I's value of π is a very close approximation to the modern value and the most accurate among those of the ancients. There are reasons to believe that Aryabhata devised a particular method for finding this value. It is shown with sufficient grounds that Aryabhata himself used it, and several later Indian mathematicians and even the Arabs adopted it. The conjecture that Aryabhata's value of π is of Greek origin is critically examined and is found to be without foundation. Aryabhata discovered this value independently and also realised that π is an irrational number. He had the Indian background, no doubt, but excelled all his predecessors in evaluating π. Thus the credit of discovering this exact value of π may be ascribed to the celebrated mathematician, Aryabhata I.
Aryabhata is the master who, after reaching the furthest shores and plumbing the inmost depths of the sea of ultimate knowledge of mathematics, kinematics and spherics, handed over the three sciences to the learned world.

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  • K Elfering, The area of a triangle and the volume of a pyramid as well as the area of a circle and the surface of the hemisphere in the mathematics of Aryabhata I, Indian J. Hist. Sci. 12 (2) (1977) , 232 - 236 .
  • E G Forbes, Mesopotamian and Greek influences on ancient Indian astronomy and on the work of Aryabhata, Indian J. Hist. Sci. 12 (2) (1977) , 150 - 160 .
  • Ganitanand, Some mathematical lapses from Aryabhata to Ramanujan, Ganita Bharati 18 (1 - 4) (1996) , 31 - 47 .
  • R C Gupta, Aryabhata, ancient India's great astronomer and mathematician, Math. Education 10 (4) (1976) , B 69 -B 73 .
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  • L C Jain, Aryabhata I and Yativrsabha - a study in Kalpa and Meru, Indian J. Hist. Sci. 12 (2) (1977) , 137 - 146 .
  • P Jha, Aryabhata I : the man and author, Math. Ed. ( Siwan ) 17 (2) (1983) , 50 - 60 .
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  • M S Khan, Aryabhata I and al-Biruni, Indian J. Hist. Sci. 12 (2) (1977) , 237 - 244 .
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  • S Parameswaran, On the nativity of Aryabhata the First, Ganita Bharati 16 (1 - 4) (1994) , 57 - 60 .
  • B N Prasad and R Shukla, Aryabhata of Kusumpura, Bull. Allahabad Univ. Math. Assoc. 15 (1951) , 24 - 32 .
  • R N Rai, The Ardharatrika system of Aryabhata I, Indian J. History Sci. 6 (1971) , 147 - 152 .
  • S N Sen, Aryabhata's mathematics, Bull. Nat. Inst. Sci. India 21 (1963) , 297 - 319 .
  • M L Sharma, Indian astronomy at the time of Aryabhata, Indian J. Hist. Sci. 12 (2) (1977) , 100 - 105 .
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  • K S Shukla, Use of hypotenuse in the computation of the equation of the centre under the epicyclic theory in the school of Aryabhata I, Indian J. History Sci. 8 (1973) , 43 - 57 .
  • K S Shukla, Aryabhata I's astronomy with midnight day-reckoning, Ganita 18 (1967) , 83 - 105 .
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Additional Resources ( show )

Other pages about Aryabhata:

  • See Aryabhata on a timeline
  • Astronomy: The Structure of the Solar System
  • Heinz Klaus Strick biography

Other websites about Aryabhata:

  • Dictionary of Scientific Biography
  • Google books
  • Sci Hi blog

Honours ( show )

Honours awarded to Aryabhata

  • Lunar features Crater Aryabhata
  • Popular biographies list Number 37

Cross-references ( show )

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  • History Topics: The trigonometric functions
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Aryabhata: The Genius Mathematician of Ancient India and His Renowned Work Aryabhatiyam

  • Post author By Mala Chandrashekhar
  • Post date May 12, 2023
  • No Comments on Aryabhata: The Genius Mathematician of Ancient India and His Renowned Work Aryabhatiyam

Introduction

The history of mathematics is rich with brilliant minds who have made significant contributions to the field, and one of the luminaries of ancient India was Aryabhata. Born around 476 CE in the region of Kusumapura (modern-day Patna), Aryabhata was a mathematician, astronomer, and scholar who left an indelible mark on the world of mathematics with his magnum opus, the “Aryabhatiyam.” In this blog post, we will explore the life and work of Aryabhata, shedding light on his renowned work, the Aryabhatiyam.

Aryabhata: The Early Years

Aryabhata’s life is shrouded in some mystery, with few concrete details about his personal life. Nevertheless, his monumental contributions to mathematics and astronomy have earned him a place of reverence in the history of science. It is believed that he received his education in the city of Pataliputra (modern-day Patna), a prominent center of learning during his time.

Astronomy and Mathematics: The Aryabhatiyam

Aryabhata’s most celebrated work, the “Aryabhatiyam,” is a comprehensive treatise that encompasses a wide range of topics in astronomy and mathematics. This remarkable work consists of 121 verses written in Sanskrit and is divided into four chapters, each dedicated to a specific area of study.

  • Ganita (Mathematics): The first chapter of the Aryabhatiyam deals with mathematics. Aryabhata made significant contributions to the understanding of numbers, algebra, and trigonometry. In this chapter, he introduced the concept of zero and a place-value system. He also provided solutions to linear and quadratic equations, laying the foundation for the development of algebra.
  • Kala-Kriya (Time and Astronomy): The second chapter of Aryabhatiyam delves into astronomy and the measurement of time. Aryabhata accurately calculated the length of a year and the value of π (pi). He proposed a heliocentric model of the solar system, centuries before Copernicus, and made precise calculations related to the positions of celestial bodies.
  • Gola (Sphere): The third chapter is dedicated to the study of the sphere. Aryabhata discussed the Earth’s rotation on its axis, which was a pioneering idea at the time. He also provided formulas for calculating the surface area and volume of various shapes, including spheres and cones.
  • Goladhyaya (Celestial Sphere): In the final chapter, Aryabhata explored the concept of the celestial sphere, which was instrumental in understanding the positions and movements of celestial objects. He calculated the positions of the planets and stars, providing valuable insights into the field of astronomy.

Legacy and Impact

Aryabhata’s contributions to mathematics and astronomy were groundbreaking and had a profound influence on future generations of scholars. His work was not only significant for its mathematical and astronomical discoveries but also for its approach to scientific inquiry and rational thinking.

The Aryabhatiyam laid the groundwork for subsequent developments in mathematics and astronomy in India and beyond. It inspired many scholars to build upon Aryabhata’s ideas and further advance the fields of science and mathematics.

Aryabhata, the brilliant mathematician and astronomer of ancient India, left an enduring legacy through his masterpiece, the Aryabhatiyam. His innovative ideas, including the concept of zero and a heliocentric model of the solar system, continue to shape our understanding of mathematics and astronomy.

Aryabhata’s work serves as a testament to the intellectual achievements of ancient India and reminds us of the importance of curiosity, observation, and the pursuit of knowledge. His legacy continues to inspire mathematicians and scientists to explore the mysteries of the universe and the beauty of mathematics.

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By Mala Chandrashekhar

Introducing Blogger Mala Chandrashekhar - a specialist academically trained in modern Western sciences, yet deeply enamored with India's timeless ethnic arts, crafts, and textiles. Her heart beats for the rich and glorious cultural and spiritual heritage of India, and she has dedicated her entire blog to spreading the immortal glories of ancient India worldwide. Through her simple yet impactful blog posts, Mala aims to reach every nook and corner of the globe, sharing India's beauty and wisdom with the world.

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Aryabhatta’s Biography: Work, Inventions, Discoveries, Legacy, Death

by Aanchal Mathur February 3, 2024, 10:54 pm

Aryabhatta's Biography

Table of Contents

In the realm of ancient Indian mathematics and astronomy, the name Aryabhatta shines as a beacon of intellect and innovation. Who is Aryabhatta, and what is the legacy that this remarkable scholar left behind? Let’s delve into the life, works, inventions, and discoveries of Aryabhatta in this comprehensive biography.

Who is Aryabhatta ?

Aryabhatta, also known as Aryabhata I, was an ancient Indian mathematician and astronomer who flourished during the 5th-6th century CE. Born in 476 CE in Pataliputra (modern-day Patna, Bihar), Aryabhatta’s pioneering contributions have left an indelible mark on the fields of mathematics and astronomy.

Little is known about Aryabhatta’s personal life, but his monumental works have ensured his place among the greatest minds in history. His scholarly pursuits took him to the renowned Nalanda University, where he honed his mathematical and astronomical skills.

Aryabhata’s Works and Legacy

Aryabhatta’s magnum opus, the “Aryabhatiya,” is a Sanskrit astronomical treatise that outlines his groundbreaking theories and calculations. This work comprises 121 verses, covering various aspects of mathematics, trigonometry, and astronomy. The Aryabhatiya is divided into four sections – “Gitikapada,” “Ganitapada,” “Kalakriyapada,” and “Gola.”

In the “Gitikapada,” Aryabhatta presents a rhythmic introduction to astronomical concepts. The “Ganitapada” delves into mathematics, including arithmetic and algebra. The “Kalakriyapada” discusses the computation of time, while the “Gola” focuses on astronomy and the movement of celestial bodies.

Aryabhatta’s legacy lies not only in his theoretical contributions but also in his practical applications of mathematics to solve real-world problems. His works influenced later mathematicians and astronomers, shaping the course of Indian mathematics for centuries.

Aryabhatta Inventions And Discoveries

One of Aryabhatta’s notable contributions is the introduction of the decimal system. He assigned numerical values to the powers of 10, laying the foundation for the numerical system we use today. Aryabhatta’s revolutionary concept of zero, or “shunya,” revolutionized mathematical notation and became a cornerstone in mathematical thought.

In the realm of astronomy, Aryabhatta proposed a heliocentric model of the solar system, suggesting that the Earth and other planets orbit the sun. This idea was centuries ahead of its time and showcased Aryabhatta’s deep understanding of celestial mechanics.

Aryabhatta’s accurate calculations of the length of a year, the diameter of the Earth, and the distance between the Earth and the Moon demonstrated his keen observational skills and mathematical prowess. His methods for determining eclipses and the positions of celestial bodies reflected an advanced understanding of astronomy.

The Motion of the Solar System

Aryabhatta’s heliocentric model challenged prevailing geocentric beliefs and provided a groundbreaking perspective on the solar system’s dynamics. His insights into the elliptical orbits of celestial bodies foreshadowed later discoveries by astronomers like Johannes Kepler.

Aryabhatta’s accurate calculation of the Earth’s circumference was remarkably close to modern measurements. His method involved observing the angle of a star at two different locations, showcasing his ingenious use of trigonometry and geometry.

Death of Aryabhata

The circumstances surrounding Aryabhatta’s death remain shrouded in mystery. Some historical accounts suggest that he passed away in 550 CE. Despite the uncertainties surrounding his demise, Aryabhatta’s intellectual legacy endured through his works and the impact he had on the development of mathematics and astronomy.

Aryabhata’s Legacy

Aryabhatta’s legacy extends beyond his lifetime, influencing subsequent generations of scholars and astronomers. His works were translated into various languages, spreading his mathematical and astronomical insights to distant lands.

In the medieval period, Islamic scholars recognized Aryabhatta’s contributions, translating his works into Arabic and further disseminating his ideas. European mathematicians later rediscovered Aryabhatta’s work during the Renaissance, contributing to the revival of interest in ancient mathematical and astronomical knowledge.

Aryabhatta’s pioneering spirit and intellectual curiosity paved the way for future generations to explore the mysteries of the cosmos. His legacy continues to inspire mathematicians and astronomers worldwide, highlighting the timeless nature of his contributions to human knowledge.

In conclusion, Aryabhatta’s biography is a testament to the power of human intellect and the enduring impact of ancient scholars. From his foundational work in mathematics to his visionary insights into the cosmos, Aryabhatta remains an iconic figure in the history of science, leaving an intellectual legacy that transcends time and borders.

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Essay On Aryabhatta – 10 Lines, Short and Long Essay for Children

Shraddha Mishra

Key Points to Remember When Writing Essay On Aryabhatta For Lower Primary Classes

10 lines on aryabhatta for kids, short essay on aryabhatta in english for kids, long essay on aryabhatta for children, interesting facts about aryabhatta for kids, what will your child learn from the essay on aryabhatta.

You must have heard about Aryabhatta, our nation’s great mathematician and astronomer. He is renowned for his extraordinary skills as a mathematician. Kids can learn a great deal about him by writing an essay on Aryabhatta for classes 1, 2 and 3. Indians are still proud of the discoveries made by Aryabhatta. Some notable findings of Aryabhatta are the place value system, value of pi, algebraic identities, and trigonometric functions. The books authored by Arybhatta are precious for mathematicians. Aryabhata is an inspiring personality for aspiring mathematicians. Kids also need to know about such personalities and learn from their achievements. Essay writing is an essential skill for kids that will benefit them throughout their academic life.

Essay writing might seem easy but can be technical in many ways. Especially when writing an essay for kids, it is important to consider a few points. The following are the key points to remember when writing an essay on Aryabhatta for lower primary classes:

  • The heading must be captivating.
  • Statements should be simple and clear.
  • Sentences should be informative.
  • Easy use of language.
  • The conclusion should be precise and strong.

A 10-line essay on Aryabhatta would be the best method to assist them in learning about his great deeds. The following is an example of an essay for classes 1 and 2 on Aryabhatta.

  • Aryabhatta is a famous Indian mathematician, astronomer, and physicist.
  • He is still remembered for his groundbreaking discoveries and theories.
  • Aryabhatta was born around 476 A.D. during the Gupta Dynasty, in Bihar.
  • The trigonometric functions discovered by Aryabhatta are a significant part of modern mathematics.
  • Aryabhatta introduced the concept of “zero” and used it in the place value system, which has a substantial role in the world of numbers.
  • Aryabhata also authored three books on astronomy; however, only one of them is still available.
  • One of the famous books written by Aryabhatta is Aryabhatiya or Aryabhatiyam.
  • Aryabhatta has also written a poem that explains the five laws of mathematics.
  • The formulae given by Aryabhatta are used all around the world.
  • Inventions and discoveries of Arybhatta have played a critical role in the evolution of science and mathematics.

This is a short essay on Aryabhatta for kids in English. Students can use this essay to learn about the life of Arybhatta and his achievements.

Aryabhatta is the first Indian mathematician who made significant contributions to the field of mathematics and astronomy. He belonged to a small village in Bihar. He lived during the Gupta Dynasty and was born around 476 A.D. Despite being born in a small village in India, Arybhatta broke all the social stigmas present in the society and rose as a significant personality in mathematics and science.

His discoveries and theories have been the reason why modern science and math have grown so significantly. Aryabhatta made several significant discoveries and inventions which made modern innovations possible. Aryabhatta gave “zero” to the world. He also defined the value of “pi”, gave the place value system, and explained the structure of the solar system and the concept of revolution and rotation. It is impossible to imagine the current position of mathematics and astronomy without the discoveries made by Aryabhatta. The level of intellect and advanced thought process offered by Aryabhatta to the world is more than inspirational to modern-day kids.

The following is a long essay for classes 3 and above. This essay on Aryabhatta is beneficial for students to learn about the first Indian mathematician and his priceless contributions.

Aryabhatta has a significant influence on modern-day science and math. And his discoveries will always remain relevant to the entire world. The basics of mathematics given by Aryabhatta are still taught around all over the world. Every kid knows that “zero” was provided by the great Indian mathematician Aryabhatta. But that is not the only achievement or contribution made by Aryabhatta. There is a lot more about the life of Aryabhatta that the children must know.

Who Was Aryabhatta?

Aryabhata was an Indian mathematician and astronomer. He is still famous for his unrivalled knowledge in the subject of math. His discoveries are still relevant to modern-day mathematicians and scientists. He has made important discoveries like the value of pie, place value system, trigonometric functions, etc. He is also known for the discovery of “zero”.

Early Life And Education Of Aryabhatta

While the exact birthplace of Aryabhatta remains unknown, he was born around 475 A.D. According to the book Arybhatiya authored, he was born and lived in Bihar. His significant astronomical works present in Bihar, such as his observatories, are a major reason why it is believed that he was born in Bihar.

According to archaeologists, he studied in Kusumpura, Bihar only. Historians also believe that Aryabhatta was the head of the famous Nalanda University. While there is no clear evidence for information regarding the early life of Arybhatta, all the assumptions are made based on his book.

Discoveries And Contribution Of Aryabhatta

Aryabhatta has made a significant contribution to the world of mathematics. He has discovered several trigonometric functions that are still relevant in modern mathematics. The value of “pi” given by Aryabhatta has simplified the mathematics for users. Also, the invention of “zero” by Aryabhatta remains unrivalled by any other invention made so far. His book Aryabhatiya has many important astronomical theories.

Aryabhatta and his discoveries have been revolutionary, not only for mathematics but for astronomy as well. The heliocentric theory he gave explained the planets’ revolution around the sun. He has also calculated the speeds of the earth and sidereal rotation.

Death And Legacy Of Aryabhatta

The legacy of wisdom left by Aryabhatta has no geographical boundaries, and it clearly impacts India and neighbouring cultures. Scholars from all over the world believed in his theories and translated them to make them more accessible. The discoveries in the modern world have also proven that the theories given by Aryabhatta were correct. Some of his works were cited by great Arabian scholars, such as Al- Khawarizmi and Al- Biruni. His definitions of cosine and sine helped advance the world of Trignometry. The legacy of Aryabhatta is not only praised by the world but has also made a significant contribution to the upliftment of humans.

Quick facts are really helpful for kids to learn about a particular subject. The following are some interesting facts about Aryabhatta for kids:

  • Aryabhatta defined terms like equator, vertical, horizon, meridian, and parallax.
  • Aryabhata was the first astronomer who explained that the stars’ movements result from the earth’s rotation.
  • Aryabhatta gave “zero” and used it in his place value system.
  • The Aryabhatiya by Arybhatta is written in verse couplets.
  • Arybhatiya is divided in different sections named Gitikapadam, Ganitapada, Kalakriyapada, and Golapada.

An essay on Aryabhatta shall be really helpful for your kid to know more about his inventions and discoveries. The achievements of Aryabhatta are inspirational for every little kid. The essay would also benefit the kid’s comprehension skills.

1. How Important Are Aryabhatta’s Invention To The Modern World?

Aryabhata has explained the rotation and revolution of the planets. He has also explained eclipses. The value of “pi” given by Aryabhatta has also played an essential role in the advancement present in the modern world.

2. Which Book Did Aryabhatta Write, And What Information Does It Consist?

Aryabhatta wrote the book Aryabhatiya. This book has different parts, and every aspect talks about various things like cosmology and mathematical calculations, including arithmetic and geometric equations, count of months, days, and weeks, the cause of eclipse, the shape of the earth, and many more.

Learning about inspiring personalities can be helpful for kids in a variety of ways. It will build confidence within them and inspire them to dream bigger. Also, the skill of essay writing would help them in the classroom and in competitions.

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Biography of Aryabhatta

Kunika Khuble

Aryabhatta: Zero

Aryabhata, also known as Aryabhata the Elder or Aryabhata 1, believed to be born in 476 CE in what is possibly Ashmaka or Kusumapura, India, was an exceptional ancient Indian mathematician and astronomer who lived around the 5th century CE. Aryabhata thrived in Kusumapura, near Patalipurta (modern-day Patna), the capital of the Gupta dynasty during his time. His notable contributions include composing at least two significant works, the Aryabhatiya around 499 CE and the regrettably lost Aryabhatasiddhanta. His contributions to the fields of mathematics and astronomy were groundbreaking and continue to influence these disciplines today. In this article, we will explore the life and achievements of Aryabhata, shedding light on his remarkable work.

Biography of Aryabhatta

Early Life and Background

Aryabhata’s exact place of birth is a subject of debate, with possibilities including Ashmaka and Kusumapura, which is believed to be modern-day Patna, India. He flourished during a period when the Gupta dynasty ruled, particularly in the region around Patalipurta (modern Patna). Despite the limited information available about his early life and education, Aryabhata’s work is a testament to his profound knowledge and intellectual prowess.

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Works of Aryabhata

Aryabhata is known for composing at least two significant works during his lifetime: the “Aryabhatiya” and the now-lost “Aryabhatasiddhanta.” These works had a far-reaching impact on the fields of mathematics and astronomy.

Aryabhatasiddhanta

The “Aryabhatasiddhanta” primarily circulated in the northwest region of India. It also profoundly influenced Islamic astronomy through the Sāsānian dynasty in Iran. While the original text is lost to history, its contents have been preserved to some extent in the writings of later scholars like Varahamihira, Bhaskara I, and Brahmagupta. One of its noteworthy features is the assignment of the start of each day to midnight, a concept that influenced subsequent astronomical calculations.

Aryabhatiya

“Aryabhatiya” gained popularity, particularly in South India, where numerous mathematicians wrote commentaries on it over the centuries. This work, composed in verse couplets, covers a wide range of topics in mathematics and astronomy, making it a comprehensive treatise.

Ganita (Mathematics)

In the “Ganita” section, Aryabhata introduced a new system of representing numbers using consonant-vowel monosyllables. He also provided algorithms for obtaining square and cubic roots within the decimal number system. Aryabhata made significant strides in geometric measurements, approximating π as 3.1416, very close to its actual value. He delved into properties of similar right-angled triangles and intersecting circles. His use of the Pythagorean theorem led to one of the methods for constructing a table of sines. The section also covers mathematical series, quadratic equations, compound interest, proportions, and solutions to linear equations.

Place Value System and Zero

Aryabhata was an early proponent of the place-value system, a revolutionary mathematical concept. Although he did not use a symbol for zero, it is believed that Aryabhata’s place-value system implicitly included zero as a placeholder for powers of ten with null coefficients. This innovation was a crucial step toward the development of the modern decimal numeral system.

Approximation of π (Pi)

Aryabhata made noteworthy strides in approximating the value of pi (π). In his work, he provided an approximation formula:

caturadhikaṃ śatamaṣṭaguṇaṃ dvāṣaṣṭistathā sahasrāṇām

ayutadvayaviṣkambhasyāsanno vṛttapariṇāhaḥ.

“Take the number one hundred and add four to it. Then, multiply the result by eight. Finally, add sixty-two thousand. By following this rule, we can approximate the circumference of a circle with a diameter of 20000.”

This formula suggests that for a circle with a diameter of 20,000, the circumference can be approximated as 62,832. This approximation, 3.1416, is remarkably close to the modern value of pi (π), demonstrating Aryabhata’s mathematical prowess. Importantly, Aryabhata may have also realized that pi is irrational, a concept not proven in Europe until centuries later.

Aryabhata’s Trigonometric Formulas

In Aryabhata’s work, specifically in Ganitapada 6, he provided a fundamental formula for calculating the area of a triangle:

tribhujasya phalaśarīraṃ samadalakoṭī bhujārdhasaṃvargaḥ

This Sanskrit phrase can be translated to mean: “For a triangle, the result of a perpendicular with the half-side is the area.” This formula elegantly relates between the triangle’s area and its side lengths.

Aryabhata’s work was a precursor to developing more advanced trigonometric concepts that later mathematicians would explore.

The Birth of “Sine” – Aryabhata’s Ardha-Jya

Aryabhata contributed significantly to trigonometry by introducing the concept of “ardha-jya,” which literally translates to “half-chord.” This concept was a precursor to what we now know as the sine function.

To simplify calculations and convey this idea more easily, people began to refer to “ardha-jya” as “jya.” When Arabic scholars translated Aryabhata’s works from Sanskrit into Arabic, they adopted the term “jiba.”

However, an interesting transformation occurred when translating “jiba” into Latin in the 12th century. Gherardo of Cremona, an Italian translator, substituted the Arabic “jaib” for the Latin term “sinus,” which means “cove” or “bay.” This Latin term was chosen because it represented a fold or pocket in a garment, akin to the shape of a sine wave.

From the Latin “sinus,” we eventually arrive at the English term “sine.” Thus, the term “sine” used in trigonometry today has its origins in the work of Aryabhata and the evolution of terminology through various cultures and languages.

Kala-kriya (Time Calculations)

The “Kala-kriya” section delves into the realm of astronomy, focusing on planetary motion along the ecliptic. Aryabhata discussed various units of time, models of planetary motion, planetary longitude corrections for different locations on Earth, and the concept of “lords of the hours and days,” which has astrological implications.

The audAyaka System and Days Reckoned from Dawn

Aryabhata’s astronomical system, known as the audAyaka system, had a unique approach to reckoning days. Instead of starting from midnight or sunrise, days in this system were reckoned from “Uday,” which denotes the dawn at the equator, specifically at Lanka. This distinctive perspective demonstrated Aryabhata’s innovative thinking in the realm of timekeeping.

Earth’s Rotation: A Bold Assertion

One of Aryabhata’s most notable assertions was his insistence that the Earth rotates about its axis daily. This was a revolutionary idea in his time, as the prevailing belief was that the sky rotated, causing the apparent movement of stars. Aryabhata challenged this view by explaining that the apparent motion of the heavens is a relative motion caused by the Earth’s rotation.

In the first chapter of his work, the “Aryabhatiya,” he quantified the Earth’s rotations in a “yuga.” This bold assertion marked a significant departure from contemporary astronomical beliefs and laid the foundation for our modern understanding of the Earth’s rotation.

Aryabhata’s Geocentric Model of the Solar System

Aryabhata’s astronomical model was primarily geocentric, meaning it placed the Earth at the center of the universe. In this model, the Sun and the Moon were each carried by epicycles, which were small circles that revolved around a larger circle. These epicycles, in turn, orbited around the Earth.

Notably, Aryabhata’s model included epicycles for the Sun and Moon, suggesting that he recognized the complexities of their apparent movements in the sky. This geocentric model was consistent with the prevailing views of his time and laid the groundwork for later developments in Indian astronomy.

Planetary Motions and Epicycles

Aryabhata’s model also accounted for the motions of the planets in the Solar System. He described a system in which each planet moved around the Earth at specific speeds, representing their motion through the zodiac. The planets’ positions and periods were calculated relative to moving points, providing a framework for tracking their movements.

In particular, Aryabhata’s model incorporated two types of epicycles for each planet: a smaller “manda” (slow) epicycle and a larger “śīghra” (fast) epicycle. This system was a precursor to the more complex planetary models developed by later astronomers.

Heliocentric Hints and Historiographical Debates

While Aryabhata’s primary model was geocentric, some historians have suggested that his writings contain hints of a heliocentric understanding. The term “śīghrocca,” referring to the basic planetary period in relation to the Sun, has raised questions about Aryabhata’s underlying beliefs.

However, it is essential to note that the prevailing consensus among historians of astronomy is that Aryabhata’s model was primarily geocentric and that any hints of heliocentrism are subject to interpretation.

Astronomical Calculations and Calendar Systems

Aryabhata’s methods for astronomical calculations gained widespread usage in the Islamic world and were instrumental in computing Arabic astronomical tables (zijes). Notably, the astronomical tables found in the work of the 11th-century Spanish scientist Al-Zarqali were translated into Latin as the “Tables of Toledo” in the 12th century. These tables remained the most accurate ephemeris in Europe for centuries.

Additionally, Aryabhata’s calendric calculations played a vital role in the practical determination of the Panchangam, the Hindu calendar. These calculations have been continuously employed in India for centuries. Moreover, in the Islamic world, Aryabhata’s methods influenced the development of the Jalali calendar in 1073 CE, which remains in use today in Iran and Afghanistan, albeit with modifications made in 1925. Like Aryabhata’s earlier Siddhanta calendars, the Jalali calendar is based on actual solar transit, offering a more accurate representation of time.

Honors and Institutions

Aryabhata’s profound contributions are commemorated through various honors and institutions:

  • Aryabhatta Knowledge University (AKU): The government of Bihar established AKU in Patna in his honor. The university specializes in developing and managing technical, medical, management, and other professional educational infrastructure.
  • Aryabhata Satellite: India’s first satellite, Aryabhata, was named in his honor and was featured on the reverse of the Indian 2-rupee note.
  • Aryabhatta Research Institute of Observational Sciences (ARIES): Located near Nainital, India, this institute conducts research in astronomy, astrophysics, and atmospheric sciences, continuing Aryabhata’s legacy of scientific exploration.
  • Aryabhata Maths Competition: An inter-school competition named after him encourages young minds to excel in mathematics.
  • Bacillus Aryabhata: A bacteria species discovered in the stratosphere in 2009 was named after Aryabhata for his pioneering spirit.

Influence on Indian Mathematics and Astronomy

  • Advancement of Number System: Aryabhatta’s contributions to the decimal number system and the concept of zero were transformative. With its place value notation, the decimal system streamlined mathematical calculations and laid the groundwork for the sophisticated mathematical developments that followed in India.
  • Algebraic Contributions: Aryabhatta’s work in algebra, as evidenced in Aryabhatiya, included solving indeterminate and quadratic equations. His algebraic methods provided a systematic approach to problem-solving, influencing later mathematicians in India and beyond.
  • Transmission of Knowledge: Aryabhatta’s mathematical and astronomical ideas found resonance in the works of the Kerala School of Mathematics, a group of scholars who flourished between the 14th and 16th centuries. The Kerala School integrated Aryabhatta’s concepts, further developing mathematical and astronomical theories.
  • Aryabhata’s Influence on Madhava: Madhava, a prominent mathematician of the Kerala School, drew inspiration from Aryabhatta’s trigonometric concepts. The series of expansions for trigonometric functions, credited to Madhava, were rooted in the groundwork laid by Aryabhatta in Aryabhatiya.
  • Named After Aryabhata: In honor of the ancient mathematician and astronomer, India launched the Aryabhata satellite in 1975 for scientific research. This reflects the enduring respect and recognition accorded to Aryabhatta’s scientific contributions.
  • Mathematics Awards: Various mathematical awards and honors in India and internationally pay tribute to Aryabhatta’s legacy. These awards acknowledge individuals who have made outstanding contributions to the field of mathematics, carrying forward Aryabhatta’s spirit of mathematical excellence.
  • Integration of Science and Philosophy: Aryabhatta’s work integrates scientific inquiry with philosophical insights. His writings often blended mathematical precision with a contemplative understanding of the cosmos, contributing to a holistic worldview transcending mere calculations.
  • Cultural Reverence: Aryabhatta’s contributions are celebrated in Indian culture, with educational institutions, scientific organizations, and research centers named in his honor. This cultural reverence emphasizes the enduring impact of Aryabhatta’s legacy on India’s intellectual and scientific heritage.

Aryabhata, the ancient Indian mathematician and astronomer, left an indelible mark on the world of science and mathematics. His work in mathematics, astronomy, and trigonometry paved the way for future scholars and scientists. Aryabhata’s intellectual brilliance continues to be celebrated, and his contributions remain a source of inspiration for those interested in the rich history of Indian science and mathematics.

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Aryabhatta (476–550 CE) is regarded as a pioneer of mathematical astronomy in ancient India whose work is available to modern scholars. His works include the Aryabhatiya and the Arya Siddhanta. Among other things, Aryabhatta calculated the closest approximate value of ‘pi’ and he was the first to explain that the moon and planets shine due to reflected sunlight and made major contributions to the fields of trigonometry and algebra.

Early Life of Aryabhatta

Aryabhatta (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and astronomy.

Education and Career

Aryabhatta studied at Kusumapura (Patliputra) for advanced studies. 

  • Given that Nalanda University was located in Pataliputra and had an astronomical observatory, it is possible that Aryabhatta was the head of Nalanda University at that time.
  • Aryabhatta is also said to have established an observatory at the Sun Temple in Taregana, Bihar.

Literary Works of Aryabhatta

Aryabhatta wrote several treatises on mathematics and astronomy, some of which have since been lost.

  • Aryabhatiya (5th century AD): It is a detailed text on mathematics and astronomy.
  • The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, spherical trigonometry, fractions, quadratic equations, sums-of-power series, and a table of sines.
  • Khagol-shastra: The part of Aryabhatiya which deals with astronomy is known as Khagol-shastra.Khagol was the famous astronomical observatory at Nalanda, where Aryabhatta studied.
  • The gnomon (shanku-yantra)
  • A shadow instrument (chhaya-yantra)
  • Semicircular and circular angle-measuring devices (dhanur-yantra/ chakra-yantra)
  • A cylindrical stick called the yastiyantra
  • An umbrella-shaped device (chhatra-yantra)
  • Bow-shaped as well as cylindrical water clocks

Contribution of Aryabhatta to Astronomy

Aryabhatta's system of astronomy was called the audAyaka system (days are reckoned from uday, dawn at Lanka, equator).

  • Aryabhatta also declared that the Earth rotates around the sun and the moon moves round the earth.
  • Aryabhatta gives formulas for the length and diameter of the earth's shadow, the timing and duration of the eclipses, and or the size of the eclipsed part of the sun or moon.
  • It is 40,072 km according to modern scientific calculations.

Contribution of Aryabhatta to Mathematics

A few of the Aryabhata’s contributions to mathematics includes following: 

  • He names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, using the decimal.
  • Aryabhatta's value of ‘pi’ is very close to the modern value and the most accurate among the ancients.
  • Furthermore, it is also considered that Aryabhata knew that the value of ‘pi’ is irrational.
  • For example, in Ganitapadam, he mentioned that “for a triangle, the result of a perpendicular with the half-side is the area.”
  • Table of sines: Using the Pythagorean theorem , he obtained one of the two methods for constructing his table of sines.
  • Other contributions: Mathematical series, quadratic equations, compound interest (involving a quadratic equation), proportions (ratios), and the solution of various linear equations among the arithmetic and algebraic topics included.

Legacy of Aryabhatta

The calendrical calculations introduced by Aryabhata and his followers have been in continuous use in India for the practical purposes of preparing the Panchangam (Hindu calendar).

  • Aryabhatta Award: An annual award, instituted by the Astronautical Society of India.
  • The award is presented to individuals with notable lifetime contributions in the field of astronautics and aerospace technology in India.
  • India’s first satellite Aryabhata and the lunar crater Aryabhata were named to honour this great Indian scientist.
  • The Aryabhatta Research Institute of Observational Sciences (ARIES) as a centre for research and training in astrophysics, astronomy, and atmospheric sciences was set up near Nainital (Uttarakhand).
  • Bacillus Aryabhattai , is a bacterial species discovered in 2009 by ISRO scientists.

FAQs on Aryabhatta

What are the main contributions of aryabhatta.

Aryabhatta, a mathematician and astronomer, authored the Aryabhatiya, which discussed square roots, quadratic equations, eclipse prediction, approximated 'pi,' and illuminated the moon and planets' reflection of sunlight.

Who was Aryabhatta?

Aryabhatta (476–550 CE)was the first of the major mathematician-astronomers from the classical age of Indian mathematics and astronomy. He was born in Pataliputra in Magadha, present-day Patna in the state of Bihar.

What is the contribution of Aryabhatta to the invention of zero?

Aryabhatta showed that zero was not only a numeral but also a symbol and a concept. The discovery of zero enabled Aryabhatta to find out the exact distance between the earth and the moon.

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English Summary

100-300 Word Paragraph On Aryabhatta In English

In 475 AD, Aryabhatta was born in an unidentified location. However, his book “Aryabhatiya” claims that he actually resided in Kusumpura, the modern-day Patna. He may have continued his education in Kusumpura, according to archaeologists who still hold this view today. The discovery of his substantial astronomical works in Kusumpura is the basis for the beliefs.

The earliest mathematician and astronomer in India was Aryabhatta. He had amassed a sizable body of math knowledge. He also made a number of other discoveries for which Indians are still proud today.

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Aryabhatta | 10 Major Contributions And Achievements

Aryabhatta (or Aryabhata)(476 – 550 CE) was an Indian mathematician and astronomer who is regarded as a towering figure in both these fields . Some of his works have been lost through the ages but his influence may be seen in the works of succeeding Indian mathematicians who frequently refer to his works. Among other things, Aryabhata calculated the closest approximate value of pi till that time ; was the first known person to solve Diophantine equations ; was first to explain that moon and planets shine due to reflected sunlight ; and made major contributions to the fields of Trigonometry and Algebra . Aryabhatta was one of the greatest mathematicians in history and a pioneer in the classical age of Indian mathematics and astronomy . Know more about his contributions through his 10 major achievements.

#1 HE WROTE THE HUGELY INFLUENTIAL ARYABHATIYA

Although Aryabhatta wrote several treatises, Aryabhatiya is his only known surviving work and it is widely regarded as his magnum opus . It is primarily an astronomical treatise written in 121 verses . Its mathematical section contains 33 verses giving 66 mathematical rules. Aryabhatiya is divided into four chapters: Gitikapada (13 verses), Ganitapada (33 verses), Kalakriyapada (25 verses) and Golapada (50 verses) . Among other things, Aryabhatiya contains a systematic treatment of the position of the planets in space; the nature of the Solar System; and the causes of eclipses of the Sun and the Moon. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry and spherical trigonometry. It also contains continued fractions, quadratic equations, sums of power series and a table of sines. Aryabhatiya was a hugely influential text and it presents many ideas that are foundational to modern astronomy and mathematics.

Aryabhatiya (510 CE)

#2 HE IS THE FIRST KNOWN PERSON TO SOLVE DIOPHANTINE EQUATIONS

A Diophantine equation is an equation that has more than one unknown integer . A simple Diophantine equation would be ax + by = c . In this equation a, b and c are given integers; and x and y unknown integers. Aryabhatiya is the earliest known work which examines integer solutions to Diophantine equations of the form by = ax + c and by = ax – c. For this purpose, Aryabhata promptly introduced a new and popular method, known as the Kuttaka method . The word kuttaka means “to pulverise” and Aryabhata’s method was based around a recursive algorithm which involved writing the original factors in smaller numbers . Diophantine equations were considered very difficult to solve at the time and the Kuttaka method quickly became very popular. It is still the standard method of solving such equations.

#3 HE MADE MAJOR CONTRIBUTIONS TO TRIGONOMETRY AND ALGEBRA

Aryabhatiya provides simple solutions to complex mathematical problems of the time like summing the first n integers, the squares of these integers and also their cubes . Furthermore, Aryabhatta correctly calculated the areas of a triangle and of a circle . For example in Ganitapadam his writings can be translated as “for a triangle, the result of a perpendicular with the half-side is the area.” In trigonometry, Aryabhatta gave a table of sines calculating the approximate values at intervals of 90°/24 = 3° 45′ . In order to do this he used a formula for sin(n + 1)x – sin nx in terms of sin nx and sin (n – 1)x . He was also the one to introduce the versine (versin = 1 – cosine) into trigonometry.

Formula by Aryabhata

#4 HE PROBABLY UNDERSTOOD THE CONCEPT OF ZERO

In Aryabhatiya, Aryabhatta introduced a system of numerals in which he used letters of the Indian alphabet to denote numbers. His numeral system allowed numbers up to 10 18 to be represented with an alphabetical notation. It is considered that Aryabhatta was familiar with the concept of zero and the place value system . Although nowhere in his works did he use the symbol of zero, French mathematician Georges Ifrah argues that the existence and knowledge of zero were implicit in Aryabhata’s place-value system as a place holder for the powers of 10 with null coefficients . Ifrah based his supposition on the following two facts: “first, the invention of his alphabetical counting system would have been impossible without zero or the place-value system; secondly, he carries out calculations on square and cubic roots which are impossible if the numbers in question are not written according to the place-value system and zero.” This is an incredible achievement for the time and one of the earliest proper understanding of the concept of zero, which is fundamental to mathematics.

Aryabhata Alphabetical Numeration

#5 HE CALCULATED THE CLOSEST APPROXIMATE VALUE OF PI TILL THAT TIME

One of the most important achievements of Aryabhatta is giving an approximate value of Pi (π) . An account of this is found in the second part of Aryabhatiyam where he explains “Add four to 100, multiply by eight, and then add 62,000. By this rule, the circumference of a circle with a diameter of 20,000 can be approached.” This calculation gives the vale of pi to be 62832/20000 = 3.1416 , reflecting an accuracy of 5 significant digits. In fact π = 3.14159265 correct to 8 places. Aryabhatta’s value of π is a very close approximation to the modern value and the most accurate among those of the ancients . Furthermore, it is also considered that Aryabhata knew that the value of Pi was irrational. This was an amazing discovery since the value of Pi was proved to be irrational only in the year 1761 by Swiss mathematician Johann Heinrich Lambert.

Johann Heinrich Lambert

#6 HE MADE INCREDIBLY ACCURATE CALCULATIONS OF THE LENGTH OF THE DAY AND THE YEAR

Aryabhata calculated the circumference of the Earth as 39,968 kilometers while the actual circumference is 40,075 kilometers . Thus Aryabhatta’s value of the size of the earth is only 0.2% smaller than the actual size. Aryabhata also put forth impressive calculations regarding the sidereal rotation (rotation calculated by referencing the position of the fixed stars) of the Earth. He calculated it as 23 hours, 56 minutes and 4.1 seconds ; this is unbelievably close to the modern-day calculated value of 23 hours, 56 minutes and 4.091 seconds , representing an error of merely 0.09 seconds! Similarly, Aryabhata calculated the value of the sidereal year to be 365.25858 days , an error of just 3 minutes and 20 seconds as compared to the actual length of a year calculated today, which comes out to be 365.25636 days . These calculations by Aryabhatta were one of the most accurate calculations in the world till that time .

#7 HE WAS FIRST TO EXPLAIN THAT MOON AND PLANETS SHINE DUE TO REFLECTED SUNLIGHT

Even with the lack of any accurate astronomical instruments at the time, Aryabhata was able to successfully deduce that the Earth is round and revolves around its axis . Furthermore, he connected this with the existence of the day and night. Aryabhata used a geocentric model for the solar system, in which the Sun and Moon are each carried by epicycles which in turn revolve around the Earth. However, despite using a geocentric model, Aryabhata correctly explained how the moons and planets have no light of their own but shine due to the reflection of sunlight . Furthermore he corrected the flawed belief that eclipses are caused because of the shadows cast by the Earth and Moon and instead explained the correct causes of eclipses . The computational model of Aryabhata was so accurate that in the 18th Century, scientist Guillaume Le Gentil found his calculations regarding the duration of the lunar eclipse of 30th August 1765 to be short by only 41 seconds!

Solar Eclipse diagram

#8 HE EXPLAINED HOW MOVEMENT OF CELESTIAL BODIES WAS DUE TO ROTATION OF THE EARTH

Aryabhata explained how the Earth moves around its axis and he also explained how the apparent movements of stars in the night sky is, in fact, a relative motion that is caused by the rotation of the Earth . This bashed the popularly accepted view of the time that this was caused by the rotation of the sky . All this and more is mentioned in the very first chapter of Aryabhatiya where Aryabhata calculates the number of rotations of the Earth in a Yuga (one of the four eras defined in Hinduism). He writes “In the same way that someone in a boat going forward sees an unmoving [object] going backwards, so [someone] on the equator sees the unmoving stars going uniformly westward. The cause of rising and setting [is that] the sphere of the stars together with the planets [apparently?] turns due west at the equator, constantly pushed by the cosmic wind.”

Aryabhata statue

#9 HE AUTHORED AN INFLUENTIAL TEXT TITLED ARYA-SIDDHANTA

Aryabhata also penned another major work on astronomical computations, known as the Arya-Siddhanta . However this has been lost through the ages. The Arya-Siddhanta came into light primarily through the works of astronomer Viharamitra , who was Aryabhata’s contemporary . Later, it was also picked up by famous mathematicians such as Brahmagupta and Bhaskara I . Arya-Siddhanta makes use of the midnight-day reckoning and is based on the older Surya-Siddhanta . The work covers some of the major astronomical instruments of the time including the shadow instrument; angle measuring devices; semicircular and circular devices; umbrella-shaped device; a cylindrical stick Yasti-yantra; and water clocks that include bow-shaped and cylindrical designs . Additionally, Aryabhata has also been credited with setting up an observatory at the Sun Temple in Taregana .

Bronze bust of Aryabhatta

#10 HE IS A TOWERING FIGURE IN MATHEMATICS AND ASTRONOMY

Aryabhatta was the first of the great astronomers of the classical age of India . He had a huge influence on Indian mathematics and astronomy with his works providing the basis for the achievements of future figures in these fields. Furthermore, Aryabhata’s work was well known throughout the Islamic world and played a part in the Islamic Golden Age . Particularly his astronomical calculation methods, along with the trigonometric tables, were widely used in the Islamic world and used to compute many Arabic astronomical tables (zijes) . The work of Aryabhatta was not known to the west for centuries after his death. However, when his work was translated to Latin in the 1200s, it became very influential and many of his ideas were utilized by European mathematicians and astronomers.

9 thoughts on “Aryabhatta | 10 Major Contributions And Achievements”

How did Aryabhata calculate the circumference of the Earth as 39,968 kilometers? Is it somewhat similar to the method of Greek astronomer Eratosthenes?

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Aryanbhatta Biography

Aryabhatta biography.

Aryabhatta is one of the great mathematicians of ancient times. He was born in 476 AD at kusumapura or Pataliputra. He was the head of the Kusumapara Institution, organized by Nalanda University. The University was very famous in those days and attracted students from all over the world. Even the Chinese, Japanese, Tibetans and many students cross the Himalayas to join Nalanda University.

Hence, he deals with both mathematics and astronomy. At the age of 23 years, he wrote two books on Mathematics and Astronomy, which contains 121 stanzas. The text consists of 108 verses and 13 introductory verses. Aryabhatta divided these stanzas into four chapters called Padas. They are 1. Gitika Pada 2. Ganita pada. 3. Kalakriya Pada 4. Gola Pada

  • Gitika Pada: 13 stanzas are mentioned in this pada and analyze the basic definition of astronomic parameters and tables. The duration of planetary revolutions was also discussed.
  • Ganita pada: 33 stanzas were written in this pada. In this book, he discussed geometrical figures with their properties and mensuration, series, linear and quadratic equations, square roots, and cube roots salvation also discussed.
  • Kalakriya pada: 25 stanzas were written, which indicate the proper position of the Sun,  Moon and Plants.
  • Gola pada: 50 stanzas mentioned; these stanzas deal with the motion of the Sun, Moon and Plants.

aryabhatta

Aryabhatta’s Contribution to Mathematics:

He brought the theories in ‘Numbers’. They are the Notation system, place value, square and cube root, and interest formulas.

Algebra: integer solutions, indeterminate equations, identities, algebraic quantities, mathematics series.

Geometry: Discovered the Pi value, Pythagorean theorems, Circle theorems, and formulas.

Trigonometry: Sine table

Aryabhatta’s Contribution to Astronomy

He explained the cause of the eclipses of the Sun and Moon. He gave the perfect value of the circumference of the Earth. Aryabhatta valued the length of the year as 365 days, 6 hours, 12 minutes and 30 seconds.

He was a great Mathematician but also an astronomer. Aryabhatta’s contribution to Mathematics was glorious and admirable. Still, his theories are the sources to do some estimations by astronomers. Without proper instruments, he measured the distance and the value of circumferences, influencing Modern scientists. In appreciation of his outstanding contributions to Mathematics and astronomy, the Indian Government honoured him by naming India’s first satellite after his name Aryabhatta.

Aryabhatta Education

Since childhood, Aryabhata has been brilliant in their studies and eager to learn new things. Especially mathematics attracted him, and he did many experiments before higher education. When his studies were completed with local gurus, he wanted to study higher education by going to University in Kusumapura. So joined Kusumapura university for advanced studies and lived there up to his teaching. There he studied the Buddhist and Hindu traditions and understood the inner meanings of Hindu scriptures written by sages. During their education, his tremendous talent in education made him kulapati to one of the institutions at Kusumapura.

Historians say he also became head of the Nalanda University in Pataliputra. The Pataliputra had an astronomical observatory, which was installed and observed into the Universe by Aryabatta. He contributed to setting up an observatory at the Sun temple in Taregana, Bihar.

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  1. Aryabhata

    Aryabhata (born 476, possibly Ashmaka or Kusumapura, India) was an astronomer and the earliest Indian mathematician whose work and history are available to modern scholars. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name. He flourished in Kusumapura—near Patalipurta (Patna), then the capital of the Gupta ...

  2. Aryabhatta Biography

    Introduction. The introduction of Aryabhatta to the world happened through his remarkable work in the field of mathematics and astronomy. Aryabhata is one of the most renowned Indian Mathematicians, in fact, one of the firsts. Born in the Gupta era that is during the rule of the Gupta Dynasty in 475 CE in Kusumapura, Pataliputra, he was known ...

  3. Essay on Aryabhatta: Samples in 150 and 300 Words

    Here is an essay on Aryabhatta in 150 words: Aryabhatta was born around the 4th century CE in Kusumpura, Bihar. He is one of India's earliest mathematicians who flourished under the Gupta dynasty in ancient India. Under this empire, Aryabhatta composed two exceptional accounts- Aryabhatiya and Aryabhatasiddhanta.

  4. Paragraph on Aryabhata in 100, 150, 200, 250 & 300 Words for Students

    Aryabhata's innovative thinking and groundbreaking discoveries make him one of the great luminaries in the history of science. Paragraph on Aryabhata in 300 words. Aryabhata, born in 476 AD, was a renowned mathematician and astronomer from ancient India, whose pioneering work laid foundational stones in many scientific areas.

  5. Aryabhata

    Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I (476-550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy.His works include the Āryabhaṭīya (which mentions that in 3600 Kali Yuga, 499 CE, he was 23 years old) and the Arya-siddhanta.. For his explicit mention of the relativity of motion, he also qualifies as a major ...

  6. Essay on Aryabhatta for Students and Children

    500+ Words Essay On Aryabhatta. Essay on Arayabhatta - Aryabhatta was the first Indian mathematician and astronomer. He had immense knowledge in the field of mathematics. Moreover, he did he may discoveries during his era. For instance, some of them were the discovery of algebraic identities, trigonometrical functions, the value of pi, Place ...

  7. Aryabhatta Biography: Background, Education, Age, Works, Contributions

    Aryabhatta Biography-Aryabhatta (476-550 CE) was a pioneering mathematician and astronomer from ancient India. In an era when the night sky was a mystery, Aryabhatta shed light on the universe's secrets, laying the foundation for future discoveries. His journey from humble beginnings to renowned scholar is truly inspiring..

  8. Essay on Aryabhatta

    200 Words Essay on Aryabhatta. Aryabhatta is credited with discovering that the earth revolves on its axis; this was a significant finding at the time. In addition, he was a forerunner of the geocentric concept of the solar system, which asserted that the earth is the focal point of the whole cosmos. It is the centre of rotation for the sun ...

  9. Essay on Aryabhatta for Students and Children in English

    10 Lines on Aryabhatta Essay in English. Aryabhatta was the first Indian mathematician, physicist and astronomer who created groundbreaking theories and inventions. Aryabhatta was born in a small place called Aryabhata in Bihar during the Gupta dynasty. Aryabhatta worked out the value of pi which is used today by scientists and mathematicians ...

  10. Essay on Aryabhatta

    Aryabhata was born in 476 CE in ancient India, a land steeped in rich traditions of mathematics and astronomy. During his time, he made groundbreaking contributions that laid the foundation for future advancements in these fields. His seminal work, the "Aryabhatiya," was a mathematical and astronomical masterpiece that showcased his genius.

  11. Aryabhata: The First Great Astronomer of Classical Age

    Aryabhata the Elder lived from 476 to 550 Aryabhata is also known as Aryabhata I to distinguish him from the later mathematician of the same name who lived about 400 years later. Al-Biruni has not helped in understanding Aryabhata's life, for he seemed to believe that there were two different mathematicians called Aryabhata living at the same time.

  12. Aryabhatta Essay

    Aryabhatta was born in 475 A.D. in an unknown place. But according to his book 'Aryabhatiya', he lived in Kusumpura, the modern-day Patna. The archaeologists hold this belief till today that he continued his studies in Kusumpura. The reason behind the beliefs is his significant works of astronomy were found in Kusumpura.

  13. Essay on Aryabhatta for Students & Children in English [Easy Words]

    Essay on Aryabhatta: The first mathematician who discovered '0' and 'pi' was Aryabhata. He was a genius mathematician from Bihar who lived during the Gupta dynasty rule. He was an ardent believer of Hindu traditions and greatly influenced by Bhagavad Gita's teachings. He invented the number system and alongside an expert physicist and ...

  14. Aryabhatta Great Astronomer of India, Aryabhata Biography (Birth, Death

    Aryabhatta is counted among the great astronomers of India. He put the secrets of the universe in front of the world at that time, when the whole world could not even learn to count properly. Aryabhatta Great Astronomer of India, Aryabhata Biography (Birth, Death and Compositions). This is the reason that when the Government of India on 19 ...

  15. Aryabhata (476

    Aryabhata was an author of at least three astronomical texts and wrote some free stanzas as well. The surviving text is Aryabhata's masterpiece the Aryabhatiya Ⓣ which is a small astronomical treatise written in 118 verses giving a summary of Hindu mathematics up to that time. Its mathematical section contains 33 verses giving 66 mathematical ...

  16. Aryabhata: The Genius Mathematician of Ancient India and His Renowned

    Born around 476 CE in the region of Kusumapura (modern-day Patna), Aryabhata was a mathematician, astronomer, and scholar who left an indelible mark on the world of mathematics with his magnum opus, the "Aryabhatiyam." In this blog post, we will explore the life and work of Aryabhata, shedding light on his renowned work, the Aryabhatiyam.

  17. Aryabhatta Biography: Work, Inventions, Discoveries, Legacy

    Aryabhata's Works and Legacy. Aryabhatta's magnum opus, the "Aryabhatiya," is a Sanskrit astronomical treatise that outlines his groundbreaking theories and calculations. This work comprises 121 verses, covering various aspects of mathematics, trigonometry, and astronomy. The Aryabhatiya is divided into four sections - "Gitikapada ...

  18. Essay On Aryabhatta in English for Class 1, 2 & 3: 10 Lines, Short

    Aryabhatta is a famous Indian mathematician, astronomer, and physicist. He is still remembered for his groundbreaking discoveries and theories. Aryabhatta was born around 476 A.D. during the Gupta Dynasty, in Bihar. The trigonometric functions discovered by Aryabhatta are a significant part of modern mathematics.

  19. Biography of Aryabhatta: Zero, Early Life, and Mathematics

    Aryabhatta: Zero. Aryabhata, also known as Aryabhata the Elder or Aryabhata 1, believed to be born in 476 CE in what is possibly Ashmaka or Kusumapura, India, was an exceptional ancient Indian mathematician and astronomer who lived around the 5th century CE. Aryabhata thrived in Kusumapura, near Patalipurta (modern-day Patna), the capital of ...

  20. Aryabhata

    Aryabhatta (476-550 CE) is regarded as a pioneer of mathematical astronomy in ancient India whose work is available to modern scholars.His works include the Aryabhatiya and the Arya Siddhanta.Among other things, Aryabhatta calculated the closest approximate value of 'pi' and he was the first to explain that the moon and planets shine due to reflected sunlight and made major contributions ...

  21. 100-300 Word Paragraph On Aryabhatta In English

    In 475 AD, Aryabhatta was born in an unidentified location. However, his book "Aryabhatiya" claims that he actually resided in Kusumpura, the modern-day Patna. He may have continued his education in Kusumpura, according to archaeologists who still hold this view today. The discovery of his substantial astronomical works in Kusumpura is the ...

  22. Aryabhatta

    Aryabhatta was the first of the great astronomers of the classical age of India. He had a huge influence on Indian mathematics and astronomy with his works providing the basis for the achievements of future figures in these fields. Furthermore, Aryabhata's work was well known throughout the Islamic world and played a part in the Islamic ...

  23. Aryabhatta Biography

    Aryabhatta is one of the great mathematicians of ancient times. He was born in 476 AD at kusumapura or Pataliputra. He was the head of the Kusumapara Institution, organized by Nalanda University. The University was very famous in those days and attracted students from all over the world. Even the Chinese, Japanese, Tibetans and many students ...