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Alfred Hillebrandt has written:

'Das altindische neu- und vollmondsopfer in seiner einfachsten form'

'Aus Alt- und Neuindien' -- subject(s): Civilization

'Das altindische Neu- und Vollmondsopfer in seiner einfachsten Form, mit Benutzung handschriftlicher Quellen' -- subject(s): Katyayana srautasutra, Sacrifice, India, Rites and ceremonies

'Diederichs Gelbe Reihe, Bd.15, Upanishaden'

'Aus Alt- und Neuindien' -- subject(s): Civilization

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Alfred Hillebrandt has written:

'Das altindische neu- und vollmondsopfer in seiner einfachsten form'

'Aus Alt- und Neuindien' -- subject(s): Civilization

'Das altindische Neu- und Vollmondsopfer in seiner einfachsten Form, mit Benutzung handschriftlicher Quellen' -- subject(s): Katyayana srautasutra, Sacrifice, India, Rites and ceremonies

'Diederichs Gelbe Reihe, Bd.15, Upanishaden'

'Aus Alt- und Neuindien' -- subject(s): Civilization

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Archimedes - Euclidean geometry

Pierre Ossian Bonnet - differential geometry

Brahmagupta - Euclidean geometry, cyclic quadrilaterals

Raoul Bricard - descriptive geometry

Henri Brocard - Brocard points..

Giovanni Ceva - Euclidean geometry

Shiing-Shen Chern - differential geometry

René Descartes - invented the methodology analytic geometry

Joseph Diaz Gergonne - projective geometry; Gergonne point

Girard Desargues - projective geometry; Desargues' theorem

Eratosthenes - Euclidean geometry

Euclid - Elements, Euclidean geometry

Leonhard Euler - Euler's Law

Katyayana - Euclidean geometry

Nikolai Ivanovich Lobachevsky - non-Euclidean geometry

Omar Khayyam - algebraic geometry, conic sections

Blaise Pascal - projective geometry

Pappus of Alexandria - Euclidean geometry, projective geometry

Pythagoras - Euclidean geometry

Bernhard Riemann - non-Euclidean geometry

Giovanni Gerolamo Saccheri - non-Euclidean geometry

Oswald Veblen - projective geometry, differential geometry

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Sanskrit is important because it is the ancient language of Hinduism, Buddhism, and Jainism, and contains a vast body of knowledge in fields like Vedic literature, philosophy, grammar, and medicine. It is also the language in which many important religious texts, such as the Bhagavad Gita and the Ramayana, were written. Additionally, Sanskrit has influenced and enriched other languages, and continues to be used in traditional ceremonies and rituals in India.

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In about 2,500 BC the abacus came into use by the Babylonians in Mesopotamia, today's Iraq. The Vedic people from this same region less than 100 kilometres south of Baghdad, entered India about 1500 BC. They wrote texts known as Vedas, which date between the 15th and the 5th century BC. Later the Indian Sulbasutras texts were added, becoming appendices to the Vedas, and these set out rules for the construction of altars for religious worship. The most important of these appendices are the Baudhayana Sulbasutra, written around 800 BC and the Apastamba Sulbasutra written around 600 BC. Certain of the calculus contained within the Sulbasutras demonstrate the principle of Pythagoras' theorem. In the Baudhayana Sulbasutra a special case of the theorem is written explicitly:- "The rope which is stretched across the diagonal of a square produces an area double the size of the original square." The Katyayana Sulbasutra gives a more general version:- "The rope which is stretched along the length of the diagonal of a rectangle produces an area which the vertical and horizontal sides make together." As these texts attest, although known some 1,000 years before Pythagoras' time, he is credited with being the first mathematician to actually prove the theorem which was much later named after him. A portion of a 4000 year old Babylonian tablet (c. 1900 B.C.E.), now known as Plimpton 322, (in the collection of Columbia University, New York), lists columns of numbers showing what we now call Pythagorean Triples - sets of numbers that satisfy the equation. It is also known that the Egyptians used a knotted rope as an aid to establish right angles in the construction of their buildings. The rope had 12 evenly spaced knots, which could be formed into a 3-4-5 right triangle, thus giving an angle of exactly 90 degrees.

Most historians agree that Pythagoras travelled to Phoenicia, (modern-day Lebanon) and also to Babylon in Mesopotamia with his father, who was a merchant. As an adult Pythagoras went to Egypt to study, so it can be assumed that he studied the above knowledge of these civilizations. However, modern research throws considerable doubt upon the many discoveries attributed to Pythagoras, as discussed on this website of Stanford University : http://plato.stanford.edu/entries/pythagoras/ .

Thales (b. approx. 624 BC in Miletos, Asia Minor - now Turkey - and died about 546 BC in Miletos), was the first known and recorded Greek philosopher, scientist and mathematician. He brought Babylonian mathematical knowledge to Greece and if not a tutor to Pythagoras, he certainly advised and influenced him and is said to have encouraged Pythagoras to travel and learn from the "Chaldeans", otherwise known as the Babylonians.

Quoting Wikipedia Encylopedia: "We find mentioned as his instructors Creophylus,[11] Hermodamas,[12] Bias,[13] Thales,[14] Anaximander,[15] and Pherecydes of Syros.[16] The Egyptians are said to have taught him geometry, the Phoenicians arithmetic, the Chaldeans astronomy, the Magians the formulae of religion and practical maxims for the conduct of life.[17] Of the various claims regarding his Greek teachers, Pherecydes is the most oft-mentioned figure."

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It is difficult to determine the exact age of the oldest language in the world, but some of the oldest known languages include Sumerian, Egyptian, and Sanskrit, which date back thousands of years. These languages have ancient roots and have influenced many modern languages.

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