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Outline

  1. Archytas' doubling the cube visualizations
    1. Reconstructions
    2. 2D Curves

    Archytas' doubling the cube visualizations

    Author:RMF
    Some tools that may help to understand some mathematical issues of Archytas' doubling the cube
    Archytas' doubling the cube visualizations

    Table of Contents

    • Reconstructions

      • Historical reconstruction of Archytas' proof
      • Another reconstruction of Archytas' proof
      • From Archytas' simple triangle to Archytas' solution (I)
      • From Archytas' simple triangle to Archytas' solution (II)
    • 2D Curves

      • Villalpando's proportionatrix prima
      • Villalpando's proportionatrix secunda
      • Becker's curve
      • Viviani's curve
    Next
    Historical reconstruction of Archytas' proof

    New Resources

    • Midpoint Theorem (V2): Integer Solutions
    • Perpendicular Lines: Quick Exploration
    • Right Triangle Inscribed in a Semicircle
    • Pythagorean Theorem: Extension Exercises
    • Angle Addition Postulate (V2) - Integer Solutions

    Discover Resources

    • Regression Analysis
    • Quadrilateral Properties Lab
    • Circle Construction
    • Fractions of Shapes
    • y' = xy^3 2010 #6

    Discover Topics

    • Pie Chart or Circle Chart
    • Percentages
    • Standard Deviation
    • Secant Line or Secant
    • Intersection
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