

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


Area of a Square  Index




Square. 

Problem 1338.
Four Squares, Diagonals, Angle, 45 Degrees, Areas.


Problem 1335. The
Lune of Hippocrates has the same area of a Kite.


Geometry Problem 1182
Two Squares, Four Quadrilaterals, Sum of the Areas, Metric Relations. 

Geometry Problem
1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean. 

Geometry Problem
1091.
Square, Perpendicular, Distance, Area, Center. 

Geometry Problem
1089.
Square, Semicircle, Tangent, Triangle, Area. 

Geometry Problem
1082.
Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area. 

Geometry Problem 881
Triangle, three Squares, Centers, Areas. 

Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya. 

Geometry Problem
615
Right Triangle with a Square, Diagonals, Center, Area of Quadrilateral. 

Problem
545.
Acute Triangle, Squares, Altitudes, Area, Measure. 

Problem
540.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras. 

Problem
539.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras. 

Problem
534.
Right Triangle, Squares, Perpendicular, Dissection, Areas. 

Problem
521.
Triangle with three Squares, Altitude, Rectangle, Area. 

Problem
520.
Triangle with six Squares, Ratio, Area. 

Problem
519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area. 

Problem
517.
Right Triangle, Six Squares, Areas. 

Problem
514.
Triangle, Five Squares, Line, Area. 

Problem
508.
Triangle with three Squares, Four triangle of equal Area. 

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. 
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Email  By Antonio Gutierrez
Last updated: Jul 7, 2017






