“In geometry his greatest achievement was an accurate value of π.”

— Aryabhata

His rule is stated as: dn^2+(2a-d)n=2s, which implies the approximation 3.1416 which is correct to the last decimal place.
In, p. 245.
Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures

Adopted from Wikiquote. Last update June 5, 2023. History

Help us to complete the source, original and additional information

Do you have more details about the quote "In geometry his greatest achievement was an accurate value of π." by Aryabhata?

Aryabhata 11

Indian mathematician-astronomer 476–550

Related quotes

“I wish to hearby announce that Wikipedia represents the highest, greatest, achievements of human life to date. I shall henceforth replace the phrase "the greatest thing since sliced bread" with the phrase "the greatest thing since Wikipedia." That is so long as what it posts about me is accurate or at least inaccurately extremely flattering.”

Jonah Goldberg (1969) American political writer and pundit

( June 16, 2005 http://web.archive.org/web/20050617/corner.nationalreview.com/05_06_12_corner-archive.asp#066356)
2000s, 2005

“Two other sciences in the same way will accurately treat of 'size': geometry, the part that abides and is at rest, [and] astronomy, that which moves and revolves.”

Nicomachus (60–120) Ancient Greek mathematician

Book I, Chapter III, p.184
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

“Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved.”

Isaac Newton book Philosophiae Naturalis Principia Mathematica

Preface (8 May 1686)
Philosophiae Naturalis Principia Mathematica (1687)
Context: The ancients considered mechanics in a twofold respect; as rational, which proceeds accurately by demonstration, and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved.

“vagueness is a 'romantic' value.... an emphasis on geometry is an emphasis on the 'known', on order and knowledge.”

Ad Reinhardt (1913–1967) American painter

Quote of Ad Reinhardt in: Abstract Expressionist Painting in America, W.C, Seitz, Cambridge Massachusetts, 1983, p. 107
after 1967 - posthumous

“The greatest inheritance that a parent can leave to their child is the memory of his love, otherwise the rest has no value.”

Prevale (1983) Italian DJ and producer

Original: (it) La più grande eredità che un genitore possa lasciare al proprio figlio è il ricordo del suo amore, altrimenti il resto non ha alcun valore.
Source: prevale.net

“The ancients considered mechanics in a twofold respect; as rational, which proceeds accurately by demonstration, and practical. To practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn; for it requires that the learner should first be taught to describe these accurately, before he enters upon geometry; then it shows how by these operations problems may be solved.”

Isaac Newton book Philosophiae Naturalis Principia Mathematica

Preface (8 May 1686)
Philosophiæ Naturalis Principia Mathematica (1687)

“[T]he application of algebra to geometry… far more than any of his metaphysical speculations, has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.”

John Stuart Mill (1806–1873) British philosopher and political economist

An Examination of Sir William Hamilton's Philosophy (1865) as quoted in 5th ed. (1878) p. 617. https://books.google.com/books?id=ojQNAQAAMAAJ&pg=PA617

“More than any of his predecessors Plato appreciated the scientific possibilities of geometry... By his teaching he laid the foundations of the science, insisting upon accurate definitions, clear assumptions, and logical proof. His opposition to the materialists, who saw in geometry only what was immediately useful to the artisan and the mechanic is… clear. …That Plato should hold the view… is not a cause for surprise. The world's thinkers have always held it. No man has ever created a mathematical theory for practical purposes alone. The applications of mathematics have generally been an afterthought.”

David Eugene Smith (1860–1944) American mathematician

Source: History of Mathematics (1923) Vol.1, p. 90

“Mankind's greatest achievements have come about by talking, and its greatest failures by not talking.”

Stephen Hawking (1942–2018) British theoretical physicist, cosmologist, and author

British Telecom advertisement (1993), part of which was used in Pink Floyd's Keep Talking (1994) and Talkin' Hawkin'<nowiki/> (2014)
Context: For millions of years, mankind lived just like the animals. Then something happened which unleashed the power of our imagination. We learned to talk and we learned to listen. Speech has allowed the communication of ideas, enabling human beings to work together to build the impossible. Mankind's greatest achievements have come about by talking, and its greatest failures by not talking. It doesn't have to be like this. Our greatest hopes could become reality in the future. With the technology at our disposal, the possibilities are unbounded. All we need to do is make sure we keep talking.

“Eudoxus was perhaps the greatest of all Archimedes's predecessors, and it is his achievements, especially the discovery of the method of exhaustion, which interest us in connexion with Archimedes.”

Thomas Little Heath (1861–1940) British civil servant and academic

p, 125
Achimedes (1920)

“In geometry his greatest achievement was an accurate value of π.”

Help us to complete the source, original and additional information

Aryabhata 11

Related quotes

Related topics