|
Home |
Geometry |
Theorems & Problems |
Right Triangle and Pythagoras |
Formulas | Mind Map |
Lunes
Welcome to Pythagoras and Right Triangles Theorems and Problems. Site created and
maintained by
Antonio Gutierrez.
Geometry: Right Triangles - Table of Contents
|
Geometry:
Right Triangles - Topics
-
Pythagorean
theorem, Geometric mean, Product of the legs, altitude,
Projection
-
Special
Right Triangles
-
Centers, Inradius,
Circumradius, Incenter, Circumcenter, Orthocenter, Centroid,
Poncelet, Sagitta
-
Inradius, Exradii, Semiperimeter, Area
-
Orthogonal Projections
-
Altitude, Inradii, Incenter, Areas
-
Pythagorean
Theorem: Diagonal of a Box
-
Distance in Cartesian Coordinate
-
De Gua's Theorem
-
Einstein and
Pythagoras theorem proof
-
Squaring the circle?
Lunes 1, 2,
3,
4,
5
-
Mind Map of
the Pythagorean Theorem
-
Problems: 19,
20,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
34,
36,
37,
38,
41,
49
|
|
|
Recent Additions
|
|
|
 |
|
|
31. |
 |
Einstein and
Pythagoras theorem proof
|
|
30. |
 |
Hippocrates and
Squaring the Circle
|
|
29. |
 |
Lunes of
Hippocrates 4
|
|
28. |
 |
Lunes of
Hippocrates 3
|
|
27. |
 |
Lunes of
Hippocrates 2
|
|
26. |
 |
Lunes of
Hippocrates 1
|
|
25. |
 |
Pythagoras
and Circle Area
|
|
24. |
 |
Right
Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean,
hypotenuse, legs, semiperimeter, altitude, median,
similar shapes areas, centers, orthocenter, incenter,
centroid, circumcenter, radius, inradius, circumradius,
exradius, circles, incircle, circumcircle, excircle. |
|
23. |
 |
Mind Map of
the Pythagorean Theorem
Proofs by shears, translation, similarity. Facts.
|
|
22. |
 |
Proposed Problem 49.
Angles and right triangle.
|
|
21. |
 |
Sangaku Problem 41.
"Mickey Mouse" shape: Three circles representing head and ears. |
|
20. |
 |
Triangle and Squares 19
|
|
19. |
 |
Proposed Problem 38.
Right
Triangle, altitude, incircles, incenters, and angles. |
|
18. |
 |
Proposed Problem 37.
Right
Triangle, altitude, incircles, incenters, and orthocenter.
Problem 36.
Right
Triangle, altitude, incircles and inradii. |
|
17. |
 |
Proposed Problem 34.
Right
triangle, cevian, incircles, tangents and inradius. |
|
16. |
|
Archimedes' Book
of Lemmas
|
|
15. |
|
Euler and his beautiful and
extraordinary formula |
|
14. |
 |
Problem
31.
Right
Triangle, Incircle, Collinears.
Problem
30.
Right
Triangle, Incircle, Inradius. |
|
13. |
 |
Proposed
Problem 29.
Right
Triangle, altitude, incircle and inradius. Ten conclusions. |
|
12. |
 |
Problem 29:
Geometry Help.
Facts you should know. |
|
11. |
 |
Proposed Problem 28
Right
Triangle, altitude, incircles and inradius. |
|
10. |
 |
Proposed Problem 27
Right
Triangle, incircles and inradius. |
|
9. |
 |
Proposed Problem 26
Right
Triangle, altitude, incircles and inradius. |
|
8. |
 |
Proposed Problem 25
Right
Triangle, altitude, incircles and inradius. |
|
7. |
 |
Proposed Problem 24
Right
Triangle, altitude, incircles and inradii. |
|
6. |
 |
Proposed Problem 23
Right
Triangle, altitude, incircles and inradii. |
|
5. |
 |
Proposed Problem 22
Right
Triangle, altitudes, incircles and inradii. |
|
4. |
|
Proposed problem
20
Right
Triangle, incircles and inradii. |
|
3. |
 |
Proposed problem 19
Right
Triangle and Excenter |
|
2. |
|
Poncelet Theorem |
|
1. |
|
Sangaku
Problem 3 |
|
 |
|
|
|
|
