Pythagorean Theorem

Java applet can't run : Your browser is not Java enabled.	Java applet can't run : Your browser is not Java enabled.
Drag the red point. Press "Define" button. Drag five pieces of quadrilaterals to fit in the square below.	Select a rectangle by clicking on the "green" or "pink" radio button. Select the transformation from "shift", "rotate", and "move". shift Drag the red points on the sides. rotate Drag the red points on the vertices. Rotates around the opposite vertex. move Drag the central red point.
Reference "Pythagoras Theorem" OYA, Shinichi, 1975, Tokai University Press.

The above applets, images, and text were created by IES Inc ( International Education Software ), a producer of educational software in Japan. Manipula Math with Java is a collection of more than 70 applets illustrating mathematical concepts including Trigonometry and Calculus created by IES Inc. "Imaging the Imaginged" (this site) mirrors these two applets, presenting them as excellent examples of using graphics, interaction, and Java for providing an enhanced educational experience efficiently and effectively using the combined power of the internet, Java, and the machine you are now using. I've written an Interactive Quadric Surface Rendering applet and intend to develop responsive geometric - Euclidian "draw & prove" applets similar to the above applets. I've mirrored these applets to facilitate faster access to them for users here in the United States and to present them in the slightly modified context with a greater emphasis on the the advantages of using graphics and interaction for almost any educational enterprise.

These mirrored applets reside in Japan:

Pythagorean Proof: Cut and Move     ( http://www.ies.co.jp/math/java/pytha2/pytha2.html )     Pythagorean Proof: Slue and Rotate   ( http://www.ies.co.jp/math/java/pitha1/pitha1.html )