Quadrilaterals, Theorems and Problems, page 3 of 4

Go Geometry: Quadrilaterals

The Incas used trapezoids for all their windows and doors, which withstand earthquakes well.

Quadrilaterals: Table of Content (Page 3 of 4)

 

 

 

Quadrilateral area, trisection

Proposed Problem 151. Quadrilateral, Area, Trisection of Sides.

 

Machu Picchu

Machu Picchu and Golden Rectangle.

 

Chichen Itza

Chichen Itza and Golden Rectangle.

 

Christ the Redeemer

Christ the Redeemer and Golden Rectangle.

 

Colosseum

Colosseum and Golden Rectangle.

 

Petra, Jordan

Petra and Golden Rectangle.

 

Quadrilateral area, trisection

Proposed Problem 150. Quadrilateral, Area, Trisection of Sides.

 

Quadrilateral Area, Midpoint, Elearning

Proposed Problem 149. Quadrilateral, Area, Midpoints.

 

Quadrilateral area, Midpoint, Elearning

Proposed Problem 148. Quadrilateral, Area, Midpoints.

 

Quadrilateral Area, Elearning

Proposed Problem 147. Quadrilateral, Area, Midpoints, Triangle.

 

Quadrilateral Area, Midpoint

Proposed Problem 146. Varignon's Theorem: Quadrilateral, Midpoints, Parallelogram, Area, Perimeter.

 

Elearning 139: Triangle Area

Proposed Problem 139. Triangle Area, Orthic Triangle, Semiperimeter, Circumradius.

 

Geometry Problem 137

Proposed Problem 137. Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points, Parallelogram.

 

Trapezoid

Trapezoid, Triangle, Diagonals, Midpoints. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

 

Four Circles Theorem Using Interactive Dynamic Software
Step-by-Step construction, Manipulation, and animation. Cyclic Quadrilateral.

 

Pythagoras Theorem, 47th Proposition of Euclid's Book I

The significance of the Pythagorean theorem  by Jacob Bronowski.
Pythagorean Theorem, 47th Proposition of Euclid's Book I.

 

Pythagoras curiosity. Online tutoring.

The Pythagorean Curiosity Triangles and squares, fifteen conclusions

 

Inca Skull Surgery

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

 

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.

 

Eight Point Circle Theorem. Elearning

Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation.

 

Complete quadrilateral: ortholine, Elearning

Complete Quadrilateral: Ortholine-Steiner Line.
Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation

 

Elearning 96

Parallelogram Problem 96. Similar Triangles, Incenters, Parallelogram.

 

Elearning 93 Parallelogram

Parallelogram Problem 93. Similar Triangles, Circumcircles, Parallelogram.

 

Geometry problem

Proposed Problem 90. Quadrilateral and Triangle Areas, Midpoints.

 

Math problem

Proposed Problem 88. Triangle and Quadrilateral Areas, Midpoints.

 

Quadrilateral area problem

Proposed Problem 87. Area of Quadrilaterals and Midpoints of Diagonals.

 

Complete quadrilateral
Newton's Theorem, Newton-Gauss Line: Complete quadrilateral theorem. Using TracenPoche Dynamic Geometry Software, Online Step-by-Step construction, manipulation, and animation.

 

Cyclic quadrilateral
Proposed Problem 78: Angles of a Circle. Perpendicular and parallel lines, Midpoint, Diameter, Chord, Cyclic quadrilateral, Congruence.

 

Math Problem 77 Angles

Cyclic quadrilateral
Proposed Problem 77: Angles of a Circle. Parallel lines, Cyclic quadrilateral.

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Last updated: May 7, 2009