Question

Write a short biography on a great mathematician Thales and Explain any one theorem given by Thales . Limits ( 150 to 200 words)

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Answer 1

theoram☝

biography

Thales is known as the first Greek philosopher, mathematician and scientist. He founded the geometry of lines, so is given credit for introducing abstract geometry.

He was the founder of the Ionian school of philosophy in Miletus, and the teacher of Anaximander. During Thales' time, Miletus was an important Greek metropolis in Asia Minor, known for scholarship. Several schools were founded in Miletus, attracting scientists, philosophers, architects and geographers

It is possible that Thales has been given credit for discoveries that were not really his. He is known for his theoretical as well as practical understanding of geometry. Thales is acknowledged by a number of sources as the one who defined the constellation Ursa Minor and used it for navigation.

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Answer 2

No writings by Thales survive, and no contemporary sources exist. Thus, his achievements are difficult to assess. Inclusion of his name in the canon of the legendary Seven Wise Men led to his idealization, and numerous acts and sayings, many of them no doubt spurious, were attributed to him, such as “Know thyself” and “Nothing in excess.” According to the historian Herodotus (c. 484–c. 425 BCE), Thales was a practical statesman who advocated the federation of the Ionian cities of the Aegean region. The poet-scholar Callimachus (c. 305–c. 240 BCE) recorded a traditional belief that Thales advised navigators to steer by the Little Bear (Ursa Minor) rather than by the Great Bear (Ursa Major), both prominent constellations in the Northern Hemisphere. He is also said to have used his knowledge of geometry to measure the Egyptian pyramids and to calculate the distance from shore of ships at sea. Although such stories are probably apocryphal, they illustrate Thales’ reputation. The poet-philosopher Xenophanes (c. 560–c. 478 BCE) claimed that Thales predicted the solar eclipse that stopped the battle between King Alyattes of Lydia (reigned c. 610–c. 560 BCE) and King Cyaxares of Media (reigned 625–585 BCE), evidently on May 28, 585. Modern scholars believe, however, that he could not possibly have had the knowledge to predict accurately either the locality or the character of an eclipse. Thus, his feat was apparently isolated and only approximate; Herodotus spoke of his foretelling the year only. That the eclipse was nearly total and occurred during a crucial battle contributed considerably to his exaggerated reputation as an astronomer.

Thales has been credited with the discovery of five geometric theorems: (1) that a circle is bisected by its diameter, (2) that angles in a triangle opposite two sides of equal length are equal, (3) that opposite angles formed by intersecting straight lines are equal, (4) that the angle inscribed inside a semicircle is a right angle, and (5) that a triangle is determined if its base and the two angles at the base are given. His mathematical achievements are difficult to assess, however, because of the ancient practice of crediting particular discoveries to men with a general reputation for wisdom.The claim that Thales was the founder of European philosophy rests primarily on Aristotle (384–322 BCE), who wrote that Thales was the first to suggest a single material substratum for the universe—namely, water, or moisture. According to Aristotle, Thales also held that “all things are full of gods” and that magnetic objects possess souls by virtue of their capacity to move iron—soul being that which in the Greek view distinguishes living from nonliving things, and motion and change (or the capacity to move or change other things) being characteristic of living things.Thales’ significance lies less in his choice of water as the essential substance than in his attempt to explain nature by the simplification of phenomena and in his search for causes within nature itself rather than in the caprices of anthropomorphic gods. Like his successors the philosophers Anaximander (610–546/545 BCE) and Anaximenes of Miletus (flourished c. 545 BCE), Thales is important in bridging the worlds of myth and reason.