Little is known about the life of Dionysodorus. Pliny the Elder writes about a Dionysodorus who measured the earth's circumference, however he is probably the one from Pontus and different from the one from Caunus as Strabo differentiates between the two mathematicians.[1]
Dionysodorus is remembered for solving the cubic equation by means of the intersection of a rectangular hyperbola and a parabola.[2]Eutocius credits Dionysodorus with the method of cutting a sphere into a given ratio, as described by him.[3]Heron mentions a work by Dionysauras entitled On the Tore, in which the volume of a torus is calculated and found to be equal to the area of the generating circle multiplied by the circumference of the circle created by tracing the center of the generating circle as it rotates about the torus's axis of revolution. Dionysodorus used Archimedes' methods to prove this result.[1]
It is also likely that this Dionysodorus was the inventor of a conical sundial.[1] Pliny's mentioning tells of an inscription placed on his tomb, addressed to the world above, stating that he had been to the centre of the earth and found it 42 thousand stadia distant.[4] Pliny calls this a striking instance of Greek vanity; but this figure compares well with the modern measurement.
dionysodorus, this, article, about, century, mathematician, century, sophist, sophist, caunus, greek, Διονυσόδωρος, Καύνειος, ancient, greek, mathematician, contents, life, work, citations, footnotes, references, external, linkslife, work, editlittle, known, a. This article is about the 3rd century BC mathematician For the 5th century sophist see Dionysodorus sophist Dionysodorus of Caunus Greek Dionysodwros ὁ Kayneios c 250 BC c 190 BC was an ancient Greek mathematician Contents 1 Life and work 2 Citations and footnotes 3 References 4 External linksLife and work EditLittle is known about the life of Dionysodorus Pliny the Elder writes about a Dionysodorus who measured the earth s circumference however he is probably the one from Pontus and different from the one from Caunus as Strabo differentiates between the two mathematicians 1 Dionysodorus is remembered for solving the cubic equation by means of the intersection of a rectangular hyperbola and a parabola 2 Eutocius credits Dionysodorus with the method of cutting a sphere into a given ratio as described by him 3 Heron mentions a work by Dionysauras entitled On the Tore in which the volume of a torus is calculated and found to be equal to the area of the generating circle multiplied by the circumference of the circle created by tracing the center of the generating circle as it rotates about the torus s axis of revolution Dionysodorus used Archimedes methods to prove this result 1 It is also likely that this Dionysodorus was the inventor of a conical sundial 1 Pliny s mentioning tells of an inscription placed on his tomb addressed to the world above stating that he had been to the centre of the earth and found it 42 thousand stadia distant 4 Pliny calls this a striking instance of Greek vanity but this figure compares well with the modern measurement Citations and footnotes Edit a b c Dionysodorus biography www groups dcs st and ac uk Retrieved 2016 04 24 Heath 1921 Eutocius Comment on book ii prop 5 of the Sphere and Cylinder of Archimedes Pliny Hist Nat ii 109References EditT L Heath A History of Greek Mathematics II Oxford 1921 Netz Reviel The Transformations of Mathematics in the Early Mediterranean World Cambridge University Press 2004 ISBN 0 521 82996 8 Pags 29 39 External links EditO Connor John J Robertson Edmund F Dionysodorus MacTutor History of Mathematics archive University of St Andrews Retrieved from https en wikipedia org w index php title Dionysodorus amp oldid 1019199376, wikipedia, wiki, book, books, library,
