Area of a Square, Theorems and Problems: Table of Content

Square.

Proposed Problem 396.
Square, Angle Trisectors, Congruence, Area.

Proposed Problem 371.
Square, Inscribed circle, Triangle, Area.

Proposed Problem 357.
Square, Exterior point, Triangles, Area.

Proposed Problem 356.
Square, Point inside, Triangles, Area.

Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area.

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

The Pythagorean Curiosity Triangles and squares, fifteen conclusions.

Hippocrates and Squaring the Circle
Area. 

Euclid's Elements, Book X, Lemma for Proposition 33
One page visual illustration. Area of squares.

Archimedes' Book of Lemmas: Proposition 7
Square and inscribed and circumscribed Circles. Area.

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

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.

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

Proposed Problem 112. Area of square and triangle.

Triangle and Squares Area 22
 

Triangle and Squares Area 21

Triangle and Squares Area 20

Triangle and Squares Area 19  

Triangle and Squares Area 18  Sangaku Problem