Excerpt from The Mathematical Diary, Vol. 1: Containing New Researches and Improvements in the Mathematics, With Collections of Questions, Proposed and Resolved by Ingenious CorrespondentsTm: principal Object of the present little work is to excite the genius and industry of those who have a taste for mathematical stu dies, by affording them an opportunity of laying their Speculations before the public in an advantageous manner, and thus to spread the knowledge of mathematics in a way that is both effectual and agreeable. It is well known to mathematicians, that nothing con tributes more to the development of mathematical genius, than the efforts made by the student to discover the solutions of new and interesting questions, and accordingly we find that many attempts have been made to apply this fact in such a manner as to render it most beneficial to society.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.