Three Famous Problems

Three Famous Problems of Ancient Greek mathematics

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Trisecting an Angle

  1. History of the Problem

  2. Classical Solutions

    1. Insertion methods

    2. Equivalent Cubic Equation

  3. Special Curves
    1. Quadratrix - Hippias

    2. Conchoid - Nicomedes

    3. Spiral - Archimedes

    4. Hyperbola - Pappus

    5. Limacon - Pascal

    6. Parabola - Rene Descartes

    7. Cubic Parabola

    8. Cycloidum Anomalarum - Ceva

    9. Trisectrix - MacLaurin

  4. Mechanical Linkages
    1. Ceva's Pantograph

    2. Amadori's Link

    3. Laisant's Links

    4. Kempe's Links

    5. Sylvester's Isoklinostat

    6. Line Motion Trisector

  5. Special Tools
    1. Carpenter's Square

    2. Tomahawk

    3. Drafter's Triangles

  6. Origami (Paper Folding) Solution & Comparison with other tools

  7. Approximation

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Last Updated July 9-th, 2006

Copyright 2006 Takaya Iwamoto   All rights reserved.