![Squares Index](../geometry/squares_index_17.jpg) |
|
![Albert Einstein at the age of 12](../pythagoras/einstein_pythagoras_12_17.jpg) |
Albert Einstein
and the Pythagorean theorem.
A preteen Albert Einstein devised a new proof of the Pythagorean theorem. |
![Elearning 317 Right triangle](../problem/p317_triangle_squares_17.jpg) |
Proposed Problem
317.
Right triangle and Inscribed Squares. |
![Geoboard: Squares, Right Triangles, Congruence](../geoboard/geoboard-ipad-apps-square-right-triangle-3-4-5-1.jpg) |
Geoboard
for iPad Gallery: Squares, Right Triangles. 3-Squares, 4-Rectangles,
Eight 3-4-5 Right Triangles,
Congruence, Areas. |
![Circular Segments, Inscribed Squares](../problem/p316_circle_squares_17.jpg) |
Proposed Problem
316.
Circular segments and Inscribed Squares. |
![Pythagoras curiosity. Online tutoring.](../pythagoras/pythagoras_curiosity_17.jpg) |
The Pythagorean Curiosity
Triangles and squares, fifteen conclusions. |
![](../pythagoras/squaring_circle_01_170.jpg) |
Hippocrates
and Squaring the Circle
|
![Elearning 306: Square and Triangles](../problem/p306_square_triangle_side_1.jpg) |
Proposed Problem
306.
Square, Triangles, Angles, Sides. |
![Problem 305: Square and Triangle](../problem/p305_square_triangle_side_1.jpg) |
Proposed Problem
305.
Square, Triangles, Angles, Sides. |
![Triangle Square Theorem 1. Elearning, Online Tutoring](../geometry/triangle_square_01_17.jpg) |
Triangle and Squares Theorem 1:
with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation. |
![Bottema Theorem. Elearning.](../geometry/bottema_theorem_elearning.jpg) |
Bottema's Theorem: Triangle and Squares with Interactive
Geometry Software
Step-by-Step construction, Manipulation, and animation. |
![](../Kurschak170x100.jpg) |
Kurschak's Tile and Theorem.
Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric
way of finding the area of a regular dodecagon.
A square with an equilateral triangle drawn inwards on each side. |
![Euclid Elements Book X, Lemma for Proposition 33](../geometry/euclid_book_x_33_17.jpg) |
Euclid's
Elements, Book X, Lemma for Proposition 33
One page visual illustration. |
![](../ArchBooLem07_170.jpg) |
Archimedes' Book of Lemmas: Proposition 7
Square and inscribed and circumscribed Circles
|
![Octagon, Square](../problem/p286_square_octagon_17.jpg) |
Proposed Problem 286:
Square, Midpoints, Octagon. |
![Quadrilateral, Perpendicular, Squares, Area](../problem/p280_quadrilateral_squares_.jpg) |
Proposed Problem
280.
Quadrilateral, Perpendiculars, Area of Squares. |
![Square, Circle, 90 Arc](../problem/p276_square_circle_17.jpg) |
Proposed Problem
276.
Square, 90 degree Arcs, Circle, Radius. |
![Problem 273 Triangle and Squares](../problem/p273_triangle_square_17.jpg) |
Proposed Problem
273.
Triangle, Perpendiculars, Area of Squares. |
![Pythagorean Theorem](../problem/p265_pythagoras_theorem_17.jpg) |
Proposed Problem
265.
Right Triangle, Pythagorean Theorem. |
![Rectangle, Isosceles Right Triangle, Square, Area](../problem/p252_rectangle_area_17.jpg) |
Proposed Problem
252.
Rectangle, isosceles right triangle, square, area.
|
![Elearning 251: Parallelogram](../problem/p251_parallelogram_area_17.jpg) |
Proposed Problem
251.
Parallelogram, sides, diagonals, squares, areas. |
![](../parallelogramsquare170x100.jpg) |
Parallelogram with Squares theorem Thébault's Theorem.
|
![Sol Lewitt Drawing](../wonder_world/sol_lewitt_square_17.jpg) |
Sol
LeWitt Drawings: A square.
|
![Red Square, Moscow](../wonder_world/golden_red_square_moscow_17.jpg) |
Red
Square, Moscow and the Golden Rectangle.
|
![Josef Albers, Homage to the Square](../wonder_world/josef_albers_17.jpg) |
Homage to the Square, 1965 by Josef Albers, pioneer of Geometric abstraction. |
![Piet Mondrian, Broadway Boogie Woogie](../wonder_world/piet_mondrian_broadway_17.jpg) |
The
Piet Mondrian, Broadway Boogie Woogie 1942-1943 and the Golden Rectangle |
![Elearning 244: Square center, diagonal](../problem/p244_square_diagonal_17.jpg) |
Proposed Problem
244. Square, Diagonals, Centers, Distance.
|
![Square, Midpoint, Congruence, Pythagoras](../problem/p239_square_midpoint_17.jpg) |
Proposed Problem
239. Square, Midpoints, Lines, Congruence, Pythagoras.
|
![Square. Midpoint, Congruence](../problem/p238_square_midpoint_17.jpg) |
Proposed Problem
238. Square, Midpoints, Lines, Congruence.
|
![Archimedes Arbelos and Square](../geometry/arbelos_circle_square_2_17.jpg) |
Archimedes Arbelos and Square
2.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
![Archimedes Arbelos and Square](../geometry/arbelos_circle_square_17.jpg) |
Archimedes Arbelos and Square 1.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
![Viviani theorem extension, regular polygon](http://gogeometry.com/
problem/p225_viviani_theorem_17.jpg) |
Proposed Problem
225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance. |
![Geometry Problem 191 about triangle and squares](../problem/p191_triangle_square_17.jpg) |
Proposed Problem
191. Triangle, Altitudes, Orthocenter, Squares, Areas.
|
![Elearning 189](../problem/p189_square_fact_17.jpg) |
Proposed Problem
189. Squares, Distances. |
![Elearning 188](../problem/p188_square_45_degree_17.gif) |
Proposed Problem
188. Square, Diagonal, 45 Degrees Angle. |
![Rhombus, Square, Angle](../problem/p179_rhombus_square_17.jpg) |
Proposed Problem
179. Rhombus, Square, Diagonal, Angle. |
![Area of Square and triangle, Elearning.](../problem/p112_area_triangle_elearn_17.jpg) |
Proposed Problem
112. Area of square and triangle.
|
![Huancayo, the Wankas](../incas/huancayo_square_junin_wankas_17.jpg) |
Huancayo Square
the Wankas |
![](../problem/p070_squares_inscribed_17.jpg) |
Proposed Problem
70: Squares inscribed in a triangle, Similarity.
|
![](../problem/p069_square_inscribed_17.jpg) |
Proposed Problem
69: Square inscribed in a triangle, Similarity.
|
![Hinged tessellation, Dynamic geometry](../javacar/hinged_tessellation_170.jpg) |
Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.
|
![](../problem/p062_square_diagonal_17.jpg) |
Proposed Problem 62: Square
Diagonal, Inscribed Circle. |
![Van Aubel](../vanaubel170x100.jpg) |
Van Aubel's Theorem.
Quadrilateral with Squares. Proof with animation.
Triangle and Squares
in the News |
![](triangle_square_22_170.jpg) |
Triangle and Squares 22
|
![](triangle_square_21_170.jpg) |
Triangle and Squares 21
|
![](triangle_square_20_170.jpg) |
Triangle and Squares 20
|
![](triangle_square_19_170.jpg) |
Triangle and Squares 19
|
![](triangle_square_18_170.jpg) |
Triangle and Squares 18
Sangaku Problem |
![](triangle_square_17_170.jpg) |
Triangle and Squares 17
|
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