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	Archytas - Greek Philosopher - Crystalinks
		Archytas (428 BC - 347 BC), was a Greek philosopher, mathematician, astronomer, statesman, strategist and commander-in-chief.
		Archytas of Tarentum was a Greek mathematician, political leader and philosopher, active in the first half of the fourth century BC (i.e., during Plato's lifetime).
		Archytas was drowned in the Adriatic Sea; his body lay unburied on the shore till a sailor humanely cast a handful of sand on it, otherwise he would have had to wander on this side the Styx for a hundred years, such the virtue of a little dust, munera pulveris, as Horace calls it.
	www.crystalinks.com /archytas.html (548 words)

	Archytas (Stanford Encyclopedia of Philosophy)
		Archytas' enharmonic tetrachord is composed of the intervals 5 : 4, 36 : 35 and 28 : 27 and his chromatic tetrachord of the intervals 32 : 27, 243 : 224, and 28 : 27.
		Cassio, Albio Cesare, 1988, ‘Nicomachus of Gerasa and the Dialect of Archytas, Fr.
		–––, 1990, ‘Plato and Archytas in the Seventh Letter’, Phronesis 35.2: 159-174.
	plato.stanford.edu /entries/archytas (13197 words)

	Archytas - Wikipedia, the free encyclopedia
		Archytas (428 BC - 347 BC), was a Greek philosopher, mathematician, astronomer, statesman, strategist and commander-in-chief.
		Archytas was born in Tarentum, Magna Graecia (now Italy) and was the son of Mnesagoras or Histiaeus.
		Archytas was drowned in the Adriatic Sea; his body lay unburied on the shore till a sailor humanely cast a handful of sand on it, otherwise he would have had to wander on this side the Styx for a hundred years, such the virtue of a little dust, munera pulveris, as Horace calls it.
	en.wikipedia.org /wiki/Archytas (297 words)

	Encyclopedia: Archytas (Site not responding. Last check: 2007-10-19)
		Archytas' enharmonic tetrachord is composed of the intervals 5 : 4, 36 : 35 and 28 : 27 and his chromatic tetrachord of the intervals 32 : 27, 243 : 224, and 28 : 27.
		Archytas' solution to the duplication of the cube, although it was not mechanical itself, was of enormous importance for mechanics, since the solution to the problem allows one not just to double a cube but also to construct bodies that are larger or smaller than a given body in any given ratio.
		Cassio, Albio Cesare, 1988, ‘Nicomachus of Gerasa and the Dialect of Archytas, Fr.
	www.nationmaster.com /encyclopedia/Archytas (1217 words)

	Archytas - LoveToKnow 1911
		It is important to notice that Archytas must have been famous as a philosopher, inasmuch as Aristotle wrote a special treatise (not extant) On the Philosophy of Archytas.
		Two important principles are illustrated by these thoughts, (1) that there is no absolute distinction between the organic and the inorganic, and (2) that the argument from final causes is no explanation of phenomena.
		Archytas may be quoted as an example of Plato's perfect ruler, the philosopher-king, who combines practical sagacity with high character and philosophic insight.
	www.1911encyclopedia.org /Archytas (537 words)

	TMTh:: ARCHYTAS OF TARENTUM
		In mathematics, Archytas was the first to distinguish between arithmetic and geometric progressions; he also found a solution to the problem of doubling the cube.
		The inventor of the "pigeon" was an exceptional mathematician and engineer, an avid builder of mechanical constructions, and is held to be the inventor of the screw, the pulley and a child's rattle.
		Archytas' "pigeon", which is chronicled by Favorinus and by Aulus Gellius (in his Attic Nights), represents the realisation of the Hellenic passion for flight.
	www.tmth.edu.gr /en/aet/1/14.html (466 words)

	Archytas
		Archytas of Tarentum was a Greek mathematician, political leader and philosopher, active in the first half of the fourth century BC (i.e., during Plato's lifetime).
		Archytas is giving mathematical descriptions of scales actually in use; he arrived at his numbers in part by observation of the way in which musicians tuned their instruments (Barker 1989, 50-51).
		Archytas is a prominent figure in the rebirth of interest in Pythagoreanism in first century BC Rome: Horace, Propertius and Cicero all highlight him.
	www.science.uva.nl /~seop/archives/win2003/entries/archytas (13128 words)

	Archytas (crater) - Wikipedia, the free encyclopedia
		Archytas is a lunar impact crater that protrudes into the northern edge of Mare Frigoris.
		To the northwest is the comparably-sized Timaeus crater, and the smaller Protagoras crater lies in the opposite direction to the southeast.
		Further to the southwest, beyond the opposite edge of the mare, is the prominent Plato crater.
	en.wikipedia.org /wiki/Archytas_(crater) (257 words)

	Archytas of Tarentum
		Archytas of Tarentum, son of Mnesagoras, or of Hestius, according to Aristoxenus, also was a Pythagorean.
		He possessed all the virtues, so that, being the admiration of the crowd, he was seven times named general, in spite of the law which prohibited reelection after one year.
		Aristoxenus claims that the philosopher Archytas was never defeated during his command.
	www.csun.edu /~hcfll004/archytas.html (1807 words)

	Archytas - webdesign, internetapplicaties, elektronica (Site not responding. Last check: 2007-10-19)
		Archytas vindt dat webdesign gebruiksvriendelijk, zoekmachinevriendelijk en representatief dient te zijn.
		Voor de werknemers is Archytas in eerste instantie een investering in hunzelf.
		Archytas was een pythagoreïsch wijsgeer en staatsman, een vriend van Plato.
	www.archytas.nl (357 words)

	Archytas - Internet Applications, Web Frontends
		Archytas is inspired by the work of the ancient greek mathematician, Archytas of Taras (Tarentum).
		Archytas was a pythagorian statesman and philosopher, a friend of Plato.
		Archytas is inspired by the work of the so named ancient greek mathematician, Archytas of Taras (Tarentum).
	www.archytas.nl /en/index.php (390 words)

	[No title]
		Archytas' magnificent composition could only have been produced by a mind closer to Riemann's than Euclid's, and, having lived and worked nearly a century earlier, we can be assured that his was not constricted by the deductive method of the Elements, let alone its later Aristotelean transmogrifications.
		Archytas recognized that this could not be determined in what Riemann called a doubly-extended manifold, but rather, was derived from the higher powers associated with a triply-extended manifold.
		Archytas effected this by generating the first set of geometric means from rotating one circle (with diameter AO) perpendicular to another (with diameter OD).
	www.wlym.com /antidummies/part42.html (2993 words)

	Archytas of Tarentum Biography / Biography of Archytas of Tarentum 2000 B.C. To A.D. 699: Mathematics Biography
		Archytas of Tarentum Biography / Biography of Archytas of Tarentum 2000 B.C. To A.D. 699: Mathematics Biography
		His achievements as a mathematician by themselves give Archytas of Tarentum distinction: not only was he first to integrate mathematics and mechanics, but he formulated the harmonic mean as a method for solving the problem of doubling the cube.
		As a man, too, Archytas gained admiration for his acts of kindness, one of which was destined quite literally to change history.
	www.bookrags.com /biography-archytas-of-tarentum-scit-01123 (268 words)

	Archytas Takes a Bow
		I then explained to Archytas how we were attempting to solve the problem of lateral confusability in 72-ET with a new symbol for the 7-comma, 63:64, and that we had just agreed on a new name for it, but that we had yet to agree on a shape for the symbol arrowhead.
		Archytas then gave a brief speech thanking his good friend Plato for remembering him in the committee’s time of need, and thanking the committee for bestowing this honor upon him, and also thanking me for preparing him with a proper attitude to receive such an honor.
		Of the arc of Archytas and Didymus' dibbler
	users.bigpond.net.au /d.keenan/sagittal/gift/Episode2.htm (3307 words)

	Archytas of Tarentum -- Encyclopædia Britannica
		Plato, a close friend, made use of his work in mathematics, and there is evidence that Euclid borrowed from him for the treatment of number theory in Book VIII of his Elements.
		Archytas was also an influential figure in public affairs, and he served for seven…
		Archytas was also an influential figure in public affairs, and he served for seven years as commander in chief of his city.
	www.britannica.com /eb/article-9009301 (647 words)

	Schiller Institute—Archytas's Musical Construction
		Archytas is generally given credit for introducing the idea of systematically investigating surfaces from this standpoint, that is: Start with a given shape.
		Archytas must have been convinced that his method of construction through motion represented a great increase in man's power over nature in the realm of geometry.
		Take into account that Archytas would likely have found and explored a series of related constructions which solved the problem at hand, and would have tried out different variants until he was satisfied that he had located the one which exhibited the greatest simplicity and pedagogical value.
	www.schillerinstitute.org /educ/pedagogy/archytus_music.html (2999 words)

	Archytas (428-347 B.C.)
		ARCHYTAS of Tarentum, the last and greatest of the scientific thinkers belonging to the Pythagorean school, was contemporary with Plato, and is said to have been one of his teachers when he visited Italy.
		We see that he was familiar with the generation of cylinders and cones, and had also clear ideas on the interpenetration of surfaces; he had, moreover, a clear conception of geometrical loci, and of their application to the determination of a point by means of their intersection.
		It is to be added, that Archytas was the teacher of Eudoxus of Cnidus, the most important name in mathematics between Pythagoras and Archimedes.
	www.usefultrivia.com /biographies/archytas_001.html (282 words)

	Archytas - creating experiences (Site not responding. Last check: 2007-10-19)
		Archytas develops professional web sites for companies and organizations.
		Archytas understands the craftsmanship of web design, which results in effective web sites.
		An effective web site does comply with prescribed standards of the W3C, is search engine friendly, easily in use and is somewhat distinguishing in its design.
	www.archytas.eu (48 words)

	Florida Entomologist, v. 78, n. 4, p. 578
		Superparasitism and intrinsic larval competition by the solitary larval-pupal parasitoid Archytas marmoratus (Townsend) were studied in vivo.
		Archytas marmoratus (Townsend) (Diptera: Tachinidae) is a solitary larval-pupal parasitoid of numerous species of Noctuidae (Lepidoptera).
		Behavior and growth rate of Archytas marmoratus (Town.) (Diptera: Tachinidae) planidia in larvae of Galleria mellonella L. (Lepidoptera Galleriidae).
	www.fcla.edu /FlaEnt/fe78p578.html (2792 words)

	Doubling the cube
		The solution by Archytas is the most remarkable of all, especially when his date is considered (first half of the fourth century BC), because it is not a plane construction but a bold construction in three dimensions, determining a certain point as the intersection of three surfaces of revolution...
		Paul Tannery suggested that Eudoxus's solution was a two-dimensional version of the one given by Archytas which we have just described, in effect the solution obtained by projecting Archytas's construction onto a plane.
		Plato reproached the disciples of Eudoxus, Archytas and Menaechmus for resorting to mechanics and instrumental means for resolving the problem of duplication of volume; for in their desire to find in some fashion, two mean proportionals, they resorted to a method that was irrational.
	www-history.mcs.st-and.ac.uk /history/HistTopics/Doubling_the_cube.html (2955 words)

	Archytas
		Archytas (Αρχύτας ο Ταραντίνος) (428-350 BC) born in Tarent (or Taras or Tarentum) son of Hestiaeus, politician, mathematician and philosopher.
		Archytas believed that the universe is infinite, has no limits.
		Archytas stretching his hand at a border of the universe.
	www.mlahanas.de /Greeks/Archytas.htm (665 words)

	Archytas of Tarentum Biography / Biography of Archytas of Tarentum 2000 B.C. To A.D. 699: Technology and Invention ...
		Archytas of Tarentum Biography / Biography of Archytas of Tarentum 2000 B.C. To A.D. 699: Technology and Invention Biography
		Archytas was born in Tarentum, an area of southern Italy that was, at the time, under Greek control.
		Archytas was also a great statesman, serving as commander in chief in Tarentum for seven years.
	www.bookrags.com /biography-archytas-of-tarentum-scit-011234 (233 words)

	Archytas (c.428-c.350 B.C.)
		According to Aulus Gellius, a Roman writer, Archytas lived in the city of Tarentum, in what is now southern Italy.
		Around 400 B.C., Gellius relates, Archytas mystified and amused the citizens of Tarentum by flying a pigeon made of wood.
		Apparently, the bird was suspended on wires and propelled by escaping steam-one of the earliest references to the practical application of the principle on which rocket flight is based.
	www.daviddarling.info /encyclopedia/A/Archytas.html (160 words)

	EpistemeLinks: Amazon.com Search Results
		Some believe Archytas to be the founder of mathematical mechanics.
		He is also 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 yards.
		Archytas of Tarentum : Pythagorean, Philosopher and Mathematician King
	www.epistemelinks.com /Main/AmazonResults.aspx?PhilCode=Arc2 (498 words)

	dupcubfin.html (Site not responding. Last check: 2007-10-19)
		The most interesting and complex of the solutions to the "Delian" Problem is the solution developed by Archytas of Tarentum.
		Archytas developed a solution using three geometric figures and their intersects.
		Archytas used a right cone, a cylinder, and a torus, all placed on the same coordinate system, and claimed that the intersection of these figures gave the length of the desired duplicated cube, 2^(1/3)*a;, where a; is the length of the side of the orginal cube.
	www.ms.uky.edu /~carl/ma330/projects/dupcubfinTOC.html (136 words)

	3.2 Concept of place
		The main idea in the remaining fragments of Archytas' treatise is the logical conclusion that place is prior to all things.
		Archytas' ideas are also repeated by Aristotle in his Physics (Casey 1993: 14).
		According to Edward S. Casey (1993: 16), however, the views of Archytas and Aristotle differ in that while Aristotle takes place as a container of things, Archytas stresses that a thing constitutes its own place: the limit-of-being of a thing is the place that it constitutes since the unlimited is nothing.
	ethesis.helsinki.fi /julkaisut/mat/maant/pg/lipsanen/032.html (1006 words)

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