Geometry Problems, Online Education

Squares: Theorems and Problems 4

Squares Index


Albert Einstein at the age of 12

Albert Einstein and the Pythagorean theorem.
A preteen Albert Einstein devised a new proof of the Pythagorean theorem.

Elearning 317 Right triangle

Proposed Problem 317.
Right triangle and Inscribed Squares.

Geoboard: Squares, Right Triangles, Congruence

Geoboard for iPad Gallery: Squares, Right Triangles.
3-Squares, 4-Rectangles, Eight 3-4-5 Right Triangles, Congruence, Areas.

Circular Segments, Inscribed Squares

Proposed Problem 316.
Circular segments and Inscribed Squares.

Pythagoras curiosity. Online tutoring.

The Pythagorean Curiosity Triangles and squares, fifteen conclusions.

Hippocrates and Squaring the Circle

Elearning 306: Square and Triangles

Proposed Problem 306.
Square, Triangles, Angles, Sides.

Problem 305: Square and Triangle

Proposed Problem 305.
Square, Triangles, Angles, Sides.

Triangle Square Theorem 1. Elearning, Online Tutoring

Triangle and Squares Theorem 1: with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.

Bottema Theorem. Elearning.

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 Elements Book X, Lemma for Proposition 33

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

Octagon, Square

Proposed Problem 286: Square, Midpoints, Octagon.

Quadrilateral, Perpendicular, Squares, Area

Proposed Problem 280.
Quadrilateral, Perpendiculars, Area of Squares.

Square, Circle, 90 Arc

Proposed Problem 276.
Square, 90 degree Arcs, Circle, Radius.

Problem 273 Triangle and Squares

Proposed Problem 273.
Triangle, Perpendiculars, Area of Squares.

Pythagorean Theorem

Proposed Problem 265.
Right Triangle, Pythagorean Theorem.

Rectangle, Isosceles Right Triangle, Square, Area

Proposed Problem 252.
Rectangle, isosceles right triangle, square, area.

Elearning 251: Parallelogram

Proposed Problem 251.
Parallelogram, sides, diagonals, squares, areas.

Parallelogram with Squares theorem Thébault's Theorem.

Sol Lewitt Drawing

Sol LeWitt Drawings: A square.

Red Square, Moscow

Red Square, Moscow and the Golden Rectangle.

Josef Albers, Homage to the Square

Homage to the Square, 1965 by Josef Albers, pioneer of Geometric abstraction.

Piet Mondrian, Broadway Boogie Woogie

The Piet Mondrian, Broadway Boogie Woogie 1942-1943 and the Golden Rectangle

Elearning 244: Square center, diagonal

Proposed Problem 244. Square, Diagonals, Centers, Distance.

Square, Midpoint, Congruence, Pythagoras

Proposed Problem 239. Square, Midpoints, Lines, Congruence, Pythagoras.

Square. Midpoint, Congruence

Proposed Problem 238. Square, Midpoints, Lines, Congruence.

Archimedes Arbelos and Square

Archimedes Arbelos and Square 2. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.

Archimedes Arbelos and Square

Archimedes Arbelos and Square 1. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.

Viviani theorem extension, regular polygon

Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance.  

Geometry Problem 191 about triangle and squares

Proposed Problem 191. Triangle, Altitudes, Orthocenter, Squares, Areas.

Elearning 189

Proposed Problem 189. Squares, Distances.

Elearning 188

Proposed Problem 188. Square, Diagonal, 45 Degrees Angle.

Rhombus, Square, Angle

Proposed Problem 179. Rhombus, Square, Diagonal, Angle.

Area of Square and triangle, Elearning.

Proposed Problem 112. Area of square and triangle.

Huancayo, the Wankas

Huancayo Square the Wankas

Proposed Problem 70: Squares inscribed in a triangle, Similarity.


Proposed Problem 69: Square inscribed in a triangle, Similarity.


Hinged tessellation, Dynamic geometry

Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.

Proposed Problem 62: Square Diagonal, Inscribed Circle.

Van Aubel

Van Aubel's Theorem. Quadrilateral with Squares. Proof with animation.
Triangle and Squares in the News  

Triangle and Squares 22

Triangle and Squares 21

Triangle and Squares 20

Triangle and Squares 19  

Triangle and Squares 18  Sangaku Problem

Triangle and Squares 17

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Last updated: Oct 23, 2015