The Ancient Tradition of Geometric ProblemsCourier Corporation, 1 jan 1993 - 410 pagina's This highly regarded study focuses on attempts by Hippocrates, Archimedes, other ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle-quadrature. Topics include origins of the study of conics, introduction of special mechanical curves, use of sliding rulers and calculating procedures, and much more. 255 black-and-white illustrations. |
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alternative analysis ancient angle trisection Anthemius Apollonian Apollonius Archimedean Archimedes Archytas Aristotle Chapter chord circle quadrature cited conchoids cone configuration conic sections construction context cube duplication curve defined derived diameter difficulty Dinostratus Diocles Dionysodorus discussion efforts Elements ellipse equal Eratosthenes Euclid Euclidean Euclidem Eudemus Eudoxean Eudoxus Eutocius extant field figures find finding first formal geometric given circle given line given point given ratio Greek 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 Plutarch polygons Porisms pre-Euclidean Proclus proof Prop quadratrix radius reflected relation segments significant Simplicius solid solution solving specific Sphere and Cylinder spiral square synthesis tangent techniques theorems theory Toomer torus treatment triangle writing Zenodorus Zeuthen