Excerpt from Elements of the Differential Calculus: With Examples and Applications, a Text Book For example; it is shown in elementary geometry that the difference between the area of any circle and the area of the inscribed or circumscribed regular polygon can be made as small as we please by increasing the number of sides of the polygon, and this difference evidently can never become absolutely zero. The area of a circle is then the limit of the area of the regular inscribed or circumscribed polygon as the number of sides of the polygon is indefinitely increased. 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.