Triangle and Squares. Level: High School, SAT Prep, College geometry

Welcome to Triangle and Squares! The following visual illustrations show the result of exploring triangle and squares with dynamic geometry software. Site created and maintained by Antonio Gutierrez.

Some of the results under Triangles and Squares are special cases of Van Aubel's theorem which relates to squares on the sides of a quadrilateral. When two vertices of the quadrilateral coincide some of the special cases here are obtained. For generalizations of Van Aubel's theorem (and associated generalizations for triangles when two vertices coincide) go to:

Dual Generalizations of Van Aubel's Theorem by Michael de Villiers and
Generalizing Van Aubel: Michael de Villiers' Theorems. Illustration.

 

Triangle & Squares: Table of Content

 

24.

Generalizing Van Aubel: Michael de Villiers' Theorems.  

23.

Van Aubel

Van Aubel's Theorem. Quadrilateral with Squares. Proof with animation. 

22.

Triangle and Squares 22  

21.

Triangle and Squares 21
See also: Triangle and Squares 19

20.

Triangle and Squares 20

19.

Triangle and Squares 19  

18.

Triangle and Squares 18  Sangaku Problem

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Triangle and Squares 17

16.

Triangle and Squares 16

15.

Triangle and Squares 15

14.

Triangle and Squares 14

13.

Triangle and Squares 13

12.

Triangle and Squares 12

11.

Triangle and Squares 11

10.

Triangle and Squares 10

9.

Triangle and Squares 9

8.

Triangle and Squares 8

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Triangle and Squares 7

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Triangle and Squares 6

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Triangle and Squares 5

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Triangle and Squares 4

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Triangle and Squares 3

2.

Triangle and Squares 2

1.

Triangle and Squares 1

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Last updated: September 25, 2007