EUCLID CHALLENGE

Successful Response by Milton Mintz

May 10, 2002

Page 10: Squaring A Circle By Straightedge And Compass

Introduction

Converting the area of the circle -- π(1)² -- to a Rectangle.

Converting the area of the Rectangle to a Square.

This Method Is Successful Because Of The Following:

1. Points are moved at a uniform rate;
2. The method goes beyond traditional euclidian methods

The Method was accomplished by using an unmarked straightedge and compass only.

1. “Uniform Rate”: This Method uses the SAME Uniform Rate by BOTH hands.
   
   (Hippias used a “Uniform Rate” in his “Non-Euclidian device” over two thousand years ago. His use of a “Uniform Rate” has been accepted over the years, but he used tools other than “straightedge and compass only”.)

2. Traditional Euclidian Methods:

   1. Pierre Wantzel proved during the 19^th century that it was impossible to square a circle by straightedge and compass, when following the “Traditional Euclidian Methods”.

   2. That is why to “successfully square a circle”, unmarked straightedge and compass only, it was necessary for the attached Method to go “Beyond the Traditional Euclidian Methods”.

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© Copyright 11/22/2001 Milton A. Mintz. All rights reserved.