# Pythagoras' Theorem By Sheer Shearing

This is a demonstration of Proof 69 from the growing collection.

The proof is based on *shearing transformation*, or (I.35): *Parallelograms which are on the same base and in the same parallels equal one another.*.

To see how it works keep pressing the "Move" button.

What if applet does not run? |

An unfolded variant of this proof appears on a separate page.

### What Is Shear Transform?

- Shearing Butterflies in Quadrilaterals
- Area of Parallelogram Formula by Shearing
- Parallelogram and Ellipses
- Proof 37 of the Pythagorean theorem - by David King
- Shearing a Polygon into a Triangle of Equal Area
- Pythagoras' Theorem By Sheer Shearing
- Shearing and Translation in Pythagorean Pants

|Up| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny64862673 |