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Albert Einstein
and the Pythagorean theorem.
A preteen Albert Einstein devised a new proof of the Pythagorean theorem. |
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Proposed Problem
317.
Right triangle and Inscribed Squares. |
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Geoboard
for iPad Gallery: Squares, Right Triangles.
3-Squares, 4-Rectangles,
Eight 3-4-5 Right Triangles,
Congruence, Areas. |
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Proposed Problem
316.
Circular segments and Inscribed Squares. |
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The Pythagorean Curiosity
Triangles and squares, fifteen conclusions. |
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Hippocrates
and Squaring the Circle
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Proposed Problem
306.
Square, Triangles, Angles, Sides. |
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Proposed Problem
305.
Square, Triangles, Angles, Sides. |
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Triangle and Squares Theorem 1:
with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation. |
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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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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. |
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Euclid's
Elements, Book X, Lemma for Proposition 33
One page visual illustration. |
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Archimedes' Book of Lemmas: Proposition 7
Square and inscribed and circumscribed Circles
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Proposed Problem 286:
Square, Midpoints, Octagon. |
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Proposed Problem
280.
Quadrilateral, Perpendiculars, Area of Squares. |
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Proposed Problem
276.
Square, 90 degree Arcs, Circle, Radius. |
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Proposed Problem
273.
Triangle, Perpendiculars, Area of Squares. |
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Proposed Problem
265.
Right Triangle, Pythagorean Theorem. |
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Proposed Problem
252.
Rectangle, isosceles right triangle, square, area.
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Proposed Problem
251.
Parallelogram, sides, diagonals, squares, areas. |
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Parallelogram with Squares theorem Thébault's Theorem.
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Sol
LeWitt Drawings: A square.
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Red
Square, Moscow and the Golden Rectangle.
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Homage to the Square, 1965 by Josef Albers, pioneer of Geometric abstraction. |
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The
Piet Mondrian, Broadway Boogie Woogie 1942-1943 and the Golden Rectangle |
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Proposed Problem
244. Square, Diagonals, Centers, Distance.
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Proposed Problem
239. Square, Midpoints, Lines, Congruence, Pythagoras.
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Proposed Problem
238. Square, Midpoints, Lines, Congruence.
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Archimedes Arbelos and Square
2.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
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Archimedes Arbelos and Square 1.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
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Proposed Problem
225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance. |
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Proposed Problem
191. Triangle, Altitudes, Orthocenter, Squares, Areas.
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Proposed Problem
189. Squares, Distances. |
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Proposed Problem
188. Square, Diagonal, 45 Degrees Angle. |
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Proposed Problem
179. Rhombus, Square, Diagonal, Angle. |
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Proposed Problem
112. Area of square and triangle.
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Huancayo Square
the Wankas |
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Proposed Problem
70: Squares inscribed in a triangle, Similarity.
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Proposed Problem
69: Square inscribed in a triangle, Similarity.
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Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.
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Proposed Problem 62: Square
Diagonal, Inscribed Circle. |
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Van Aubel's Theorem.
Quadrilateral with Squares. Proof with animation.
Triangle and Squares
in the News |
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Triangle and Squares 22
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Triangle and Squares 21
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Triangle and Squares 20
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Triangle and Squares 19
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Triangle and Squares 18
Sangaku Problem |
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Triangle and Squares 17
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