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Excerpt from The Texas Mathematics Teachers' Bulletin, Vol. 15: Number 3 Teachers may be interested in methods Of finding solu tions Of these equations in which all quantities are integers. In this paper theorems are stated, and in two cases proved, by which solutions Of these equations can be found, and tables showing several solutions for each equation are given. The proofs involve only algebra and some results Of the elementary theory of numbers which are so simple that, I believe, a thoughtful person can provide demonstra tions Of them for himself in case they are not Obvious. Hence no extensive mathematical knowledge is necessary for the understanding Of this discussion. After the consideration Of the three equations that have been mentioned, a method is indicated for proving that it is impossible to construct a regular pyramid on a square base with all edges rational and with both volume and lat eral area rational. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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