Three Famous Problems of Ancient Greek mathematics

Still under construction.

Trisecting an Angle History of the Problem Classical Solutions Insertion methods Equivalent Cubic Equation Special Curves Quadratrix - Hippias Conchoid - Nicomedes Spiral - Archimedes Hyperbola - Pappus Limaçon - Pascal Parabola - Rene Descartes Cubic Parabola Cycloidum Anomalarum - Ceva Trisectrix - MacLaurin Mechanical Linkages Ceva's Pantograph Amadori's Link Laisant's Links Kempe's Links Sylvester's Isoklinostat Line Motion Trisector Special Tools Carpenter's Square Tomahawk Drafter's Triangles Origami (Paper Folding) Solution Approximation - 6 Methods

Doubling the Cube History of the problem Greek Mathematicians Archytas - 3D Geometry Eudoxus Menaechmus - Conics Plato - Tools Eratosthenes - Tools Nicomedes - Conchoid Philon Apollonius Heron Diocles - Cissoid Approximation Later Mathematicians Nicomedes_Revisited Origami (Paper Folding) Solution Abe Hisashi's Origami solution Haga Kazuo's approximation

Squaring the Circle History of the problem Greek circle Squarers Hippias - Quadratrix Archimedes - "On the Measurement of the Circle" Archimedes - "On Spirals" Later Circle Squarers Snellius and Huygens Rene Descartes Monte-Carlo Method Approximate Constructions Origami (Paper Folding) Solution

References Heath,Thomas L. :"History of Greek Mathematics Vol. I From Thales to Euclid" Dover 1981 Heath,Thomas L. :"A Manual of Greek Mathematics" Dover 1963 original 1931 Heath,Thomas L. :"A History of Greek Mathematics Vol. II" Dover 1981 original in 1921 Heath,Thomas L. :"The Works of Archimedes Dover" 2002 original in 1912 Knorr,Wilber Richard :"The Ancient Tradition of Geometric Problems" Dover 1993 Knorr,Wilber Richard :"The Textual Studies in Ancient and Medieval Geometry",Birkhauser, 1989 Go to   Fun_Math Content Table All questions/complaints/suggestions should be sent to takaya.iwamoto@comcast.net Last Updated July 9-th, 2006 Copyright 2006 Takaya Iwamoto   All rights reserved.