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Excerpt from Principles of the Differential and Integral Calculus: Familiarly Illustrated, and Applied to a Variety of Useful Purposes, Designed for the Instruction of Youth It is somewhat remarkable that, whilst almost every department of human knowledge has been simplified and brought down to the level of ordinary capacities, scarcely any attempt has been made to simplify and illustrate by familiar examples one of the most elegant and useful branches of mathematical science. Most of the existing works on the Differential and Integral Calculus are written for the use of "Students in the Universities," and require a previous knowledge of almost every branch of Pure Mathematics. It is quite obvious, however, that the great leading principles of this science may be communicated to youth at a much earlier period, and with much less acquaintance with the other branches of mathematics than is generally supposed. 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.