Pythagorean Theorem: Versluys' Proof by Dissection

This is a dynamic illustration of proof 72 of our collection of proofs of the Pythagorean Theorem. It's listed as #25 geometric proof by E. S. Loomis, with a reference to an earlier collection by J. Versluys (1914).


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, download and install Java VM and enjoy the applet.

What if applet does not run?

Unlike the geometric proof #22 for which Loomis also refers to Versluys and whose diagram does not reflect on the general configuration, the present dissection can be carried out for all right triangles and thus presents a visual proof of the Pythagorean theorem. (A few additional lines show one of possible ways of making the argument formal.)


  1. E. S. Loomis, The Pythagorean Proposition, NCTM, 1968

|Pythagorean Theorem| |Contact| |Front page| |Contents| |Store| |Geometry|

Copyright © 1996-2017 Alexander Bogomolny


Search by google: