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January 27th, 2016, 11:39 AM   #1
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Volume One: Geometry without Multiplication

Volume One: Geometry without Multiplication

I propose to write a textbook on the subject of Euclidean geometry. It will be divided into two volumes, Geometry without Multiplication and Geometry with Multiplication. In the future I may write a third volume about solid geometry.

Geometry without Multiplication ranks high school geometry students as follows:

White Belt: Abstract Algebra
Orange Belt: Triangle Congruence
Green Belt: Quadrilaterals
Red Belt: Quadrature
Black Belt: Circles

I have written the text for white- and orange-belt students and I have written an outline of the remaining textbook. I will update as I progress. I hope to receive comments on my proofs and on my organization of theorems from other geometers during the writing of this book.
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February 9th, 2016, 08:57 AM   #2
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I have now posted the green-belt theorems.
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