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.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

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

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