The subject of ancient reckoning of time and space can only be inferred from the logic of numbers, with very few exceptions of data in the historical record. Many historically significant numbers exist in the historical record of different ancient cultures. But, the method for computing those numerical results remains a theme of speculation. Many of the ancient Babylonian clay tablets that exist reflect specific mathematical and geometrical problems, much like a school textbook of today. However, notebooks of the scientists who computed the astronomical meandering of the bodies in our solar system have yet to be found. The ancient reckoning system, especially the numbers/fractals coming out of the maya long count system, shed much light on such perceived problems as Fermat's Last Theorem.

In the book Beyond the Pythagorean Theorem, we examine different ways expressing relations of equivalency pertaining to right triangles and perfect right triangles. The alternative expression to the Pythagorean Theorem concerns the power of three. In other words, one may confirm the relation of equivalency of a perfect right triangle (or right triangle) with the square expression of the Pythagorean Theorem or, with the alternative expression to the cube. We ultimately present an alternative to the Pythagorean Theorem that consists of four terms to the cube, instead of the three terms to the square expressed in the Pythagorean Theorem. The results of both of these expressions are the same: they determine the relation of equivalency for the side measurements of a (perfect) right triangle. With these equations of four terms to the cube, relations of equivalency may be obtained for perfect right triangles in an alternative manner, and for this reason we consider it going beyond the Pythagorean Theorem.

E a r t h / m a t r i X
SCIENCE IN ANCIENT ARTWORK
Beyond the Pythagorean Theorem
By Charles William Johnson

Published by: Earth/matriX P.O. Box 231126 New Orleans, Louisiana 70183-1126 USA
Branch: Earth/matriX-México Jorge Luna /Director - Mexico, Apartado Postal 70-257, Ciudad Universitaria, México, D.F., 04510, México
August, 1999.
ISBN 1-58616-193-8

Copyrighted © 1995, 1996, 1997, 1998, 1999, 2000 and 2001 by Charles William Johnson. All rights reserved. Reproduction prohibited. Printed in the United States of America. Published simultaneously in Mexico. This publication, or parts thereof, may not be reproduced in any form of photographic, electrostatic, mechanical, or any other method, for any use or purpose, including information storage or retrieval, without written permission from the author, except for the inclusion of brief quotations in a review.