Online Geometry: Triangle and Squares, Theorems and Problems 2

Online Geometry

Triangles and Squares 

Pythagoras curiosity. Online tutoring.

The Pythagorean Curiosity Triangles and squares, fifteen conclusions.

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.

Problem 305: Square and Triangle

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

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.

Problem 273 Triangle and Squares

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

Square, Circle, 90 Arc

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

Pythagorean Theorem

Proposed Problem 265.
Right Triangle, Pythagorean Theorem.

Red Square, Moscow

Red Square, Moscow 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.

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.

Inca Skull Surgery

Inca Skull Surgery
Inca Skull Surgeons Were "Highly Skilled," Study Finds.
Trepanation = square hole in the skull.

Huancayo, the Wankas

Huancayo Square the Wankas

Ayacucho Square

Ayacucho Square (Plaza de Armas)
Ayacucho video

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.

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.
Please be patient while the applet loads on your computer. This Java applet requires Java 1.3 or higher.

Generalizing Van Aubel: Michael de Villiers' Theorems.
Triangle and Squares in the News 

Van Aubel

Van Aubel's Theorem. Quadrilateral with Squares. Proof with animation.
 

Triangle and Squares 22
 

Triangle and Squares 21
See also: Triangle and Squares 19

Triangle and Squares 20

Triangle and Squares 19  

Triangle and Squares 18  Sangaku Problem

Triangle and Squares 17

Triangle and Squares 16

Triangle and Squares 15

Triangle and Squares 14

Triangle and Squares 13

Triangle and Squares 12

Triangle and Squares 11

Triangle and Squares 10

Triangle and Squares 9

Triangle and Squares 8

Triangle and Squares 7

Triangle and Squares 6

Triangle and Squares 5

Triangle and Squares 4

Triangle and Squares 3

Triangle and Squares 2

Triangle and Squares 1

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Last updated: Mar 6, 2016