The Ancient Tradition of Geometric ProblemsBirkhäuser, 1986 - 411 pagina's |
Inhoudsopgave
Beginnings and Early Efforts | 15 |
The Geometers in Platos Academy | 49 |
The Generation of Euclid | 101 |
Copyright | |
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alternative analysis ancient angle trisection Apollonian Apollonius Archimedean Archimedes Archytas Aristotle century B.C. Chapter chord circle quadrature cited Collection VII conchoids cone conic sections construction context cube duplication curve derived diameter Dinostratus Diocles Dionysodorus discussion efforts Elements ellipse equal Eratosthenes Euclid Euclid's Elements Euclidean Euclidem Eudemus Eudoxean Eudoxus Eutocius extant Figure formal geometric given circle given line given point given ratio Greek Greek Mathematics Heath Heiberg Hero Hippocrates hyperbola ibid inscribed instance intersection later latus rectum lemmas loci locus problem lunule mathematical mean proportionals Menaechmus method neuses neusis Nicomedes Pappus parabola parallel passage perpendicular planar plane Plato polygons Porisms pre-Euclidean Proclus proof Prop quadratrix radius relation segments Simplicius solid solution solving specific Sphere and Cylinder spiral square synthesis tangent techniques theorems theory Toomer torus treatment triangle writing Zenodorus Zeuthen