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Archytas (; (ギリシア語:Ἀρχύτας); 428–347 BC) was an Ancient Greek philosopher, mathematician, astronomer, statesman, and strategist. He was a scientist of the Pythagorean school and famous for being the reputed founder of mathematical mechanics, as well as a good friend of Plato. ==Life and work== Archytas was born in Tarentum, Magna Graecia and was the son of Mnesagoras or Histiaeus. For a while, he was taught by Philolaus, and was a teacher of mathematics to Eudoxus of Cnidus. Archytas and Eudoxus' student was Menaechmus. As a Pythagorean, Archytas believed that only arithmetic, not geometry, could provide a basis for satisfactory proofs.〔Morris Kline, Mathematical Thought from Ancient to Modern Times Oxford University Press, 1972 p. 49〕 Archytas is believed to be the founder of mathematical mechanics.〔Diogenes Laertius, ''Vitae philosophorum'', viii.83.〕 As only described in the writings of Aulus Gellius five centuries after him, he was reputed to have designed and built the first artificial, self-propelled flying device, a bird-shaped model propelled by a jet of what was probably steam, said to have actually flown some 200 meters.〔Aulus Gellius, "Attic Nights", Book X, 12.9 at (LacusCurtius )〕〔(ARCHYTAS OF TARENTUM, Technology Museum of Thessaloniki, Macedonia, Greece )〕 This machine, which its inventor called ''The pigeon'', may have been suspended on a wire or pivot for its flight.〔(Modern rocketry )〕〔(Automata history )〕 Archytas also wrote some lost works, as he was included by Vitruvius in the list of the twelve authors of works of mechanics.〔Vitruvius, ''De architectura'', vii.14.〕 Thomas Winter has suggested that the pseudo-Aristotelian ''Mechanical Problems'' is an important mechanical work by Archytas, not lost after all, but misattributed.〔Thomas Nelson Winter, "( The Mechanical Problems in the Corpus of Aristotle )," DigitalCommons@University of Nebraska - Lincoln, 2007.〕 Archytas named the harmonic mean, important much later in projective geometry and number theory, though he did not invent it.〔J. J. O'Connor and E. F. Robertson. (Archytas of Tarentum ). The MacTutor History of Mathematics archive. Visited 11 August 2011.〕 According to Eutocius, Archytas solved the problem of doubling the cube in his manner with a geometric construction.〔Eutocius, commentary on Archimedes' ''On the sphere and cylinder''.〕 Hippocrates of Chios before, reduced this problem to finding mean proportionals. Archytas' theory of proportions is treated in book VIII of Euclid's ''Elements'', where is the construction for two proportional means, equivalent to the extraction of the cube root. According to Diogenes Laertius, this demonstration, which uses lines generated by moving figures to construct the two proportionals between magnitudes, was the first in which geometry was studied with concepts of mechanics.〔Plato blamed Archytas for his contamination of geometry with mechanics (Plutarch, (''Symposiacs'', Book VIII, Question 2 )): ''And therefore Plato himself dislikes Eudoxus, Archytas, and Menaechmus for endeavoring to bring down the doubling the cube to mechanical operations; for by this means all that was good in geometry would be lost and corrupted, it falling back again to sensible things, and not rising upward and considering immaterial and immortal images, in which God being versed is always God.''〕 The Archytas curve, which he used in his solution of the doubling the cube problem, is named after him. Politically and militarily, Archytas appears to have been the dominant figure in Tarentum in his generation, somewhat comparable to Pericles in Athens a half-century earlier. The Tarentines elected him ''strategos'', 'general', seven years in a row – a step that required them to violate their own rule against successive appointments. He was allegedly undefeated as a general, in Tarentine campaigns against their southern Italian neighbors. The ''Seventh Letter'' of Plato asserts that Archytas attempted to rescue Plato during his difficulties with Dionysius II of Syracuse. In his public career, Archytas had a reputation for virtue as well as efficacy. Some scholars have argued that Archytas may have served as one model for Plato's philosopher king, and that he influenced Plato's political philosophy as expressed in ''The Republic'' and other works (i.e., how does a society obtain good rulers like Archytas, instead of bad ones like Dionysus II?). Archytas may have drowned in a shipwreck in the shore of Mattinata, where his body lay unburied on the shore until a sailor humanely cast a handful of sand on it. Otherwise, he would have had to wander on this side of the Styx for a hundred years, such the virtue of a little dust, ''munera pulveris'', as Horace calls it in Ode 1.28 on which this information on his death is based. The poem, however, is difficult to interpret and it is not certain that the shipwrecked and Archytas are in fact the same person. The crater Archytas on the Moon is named in his honour. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Archytas」の詳細全文を読む スポンサード リンク
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