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. 23. Van Aubel's Theorem. Quadrilateral with Squares. Proof with animation. 22. 21. Triangle and Squares 21 See also: Triangle and Squares 19 20. 19. 18. Triangle and Squares 18  Sangaku Problem 17. 16. 15. 14. 13. 12. 11. 10. 9. 8. 7. 6. 5. 4. 3. 2. 1.

Previous, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, Next

 Home | Search | Geometry | Email Last updated: September 25, 2007