# Squares: Theorems and Problems 4

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

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Last updated: Oct 23, 2015