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Triangle and
Squares. Level: High School, SAT Prep, College
geometry |
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Welcome to Triangle and
Squares! . Site created and
maintained by Antonio Gutierrez.
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The following visual
illustrations show the result of exploring triangle and
squares with dynamic geometry software.
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.
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Triangle & Squares: Table of Content
Previous,
1,
2,
3,
4,
5,
6, 7,
8, 9,
10, 11,
12, 13,
14, 15,
16, 17,
18,
19,
20,
21,
22,
23,
24,
25, Next |
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30. |
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The Pythagorean Curiosity
Triangles and squares, fifteen conclusions |
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29. |
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Triangle and Squares Theorem 1:
with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation. |
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28. |
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Bottema's Theorem: Triangle and Squares with Interactive
Geometry Software
Step-by-Step construction, Manipulation, and animation. |
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27. |
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Proposed Problem
70: Squares inscribed in a triangle, Similarity.
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26. |
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Proposed Problem
69: Square inscribed in a triangle, Similarity.
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25. |
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Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.
Please be patient while the applet loads on your computer. This Java applet requires Java 1.3 or higher. |
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24. |
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Generalizing Van Aubel: Michael de Villiers' Theorems.
Triangle and Squares
in the News |
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23. |
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Van Aubel's Theorem.
Quadrilateral with Squares. Proof with animation.
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22. |
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Triangle and Squares 22
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21. |
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Triangle and Squares 21
See also:
Triangle and Squares 19 |
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20. |
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Triangle and Squares 20
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19. |
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Triangle and Squares 19
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18. |
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Triangle and Squares 18
Sangaku Problem |
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17. |
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Triangle and Squares 17
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16. |
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Triangle and Squares 16
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15. |
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Triangle and Squares 15 |
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14. |
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Triangle and Squares 14 |
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13. |
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Triangle and Squares
13 |
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12. |
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Triangle and Squares
12 |
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11. |
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Triangle and Squares
11 |
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10. |
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Triangle and Squares
10 |
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9. |
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Triangle and Squares 9
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8. |
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Triangle and Squares 8 |
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7. |
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Triangle and Squares 7 |
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6. |
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Triangle and Squares 6 |
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5. |
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Triangle and Squares 5 |
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4. |
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Triangle and Squares 4 |
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3. |
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Triangle and Squares 3 |
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2. |
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Triangle and Squares 2 |
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1. |
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Triangle and Squares 1 |
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Previous,
1,
2,
3,
4,
5,
6, 7,
8, 9,
10, 11,
12, 13,
14, 15,
16, 17,
18,
19,
20,
21,
22,
23,
24,
25,
Next |
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