Excerpt from An Elementary Course of Mathematics: Comprising Arithmetic, Algebra and Euclid The main purpose of this text-book is to provide in a single and inexpensive volume a short course of Arithmetic, Algebra, and Euclid specially adapted to the needs of a large and increasing class of students: namely, those who after leaving school desire to continue their study of Elementary Mathe maties, partly with help derived from evening classes, and partly by means of private work at home. The majority of such students work under somewhat difficult conditions. They have already received a certain training in Arithmetic, but their mathematical education has gone no further; and the problem which meets them is how - with very limited instruction and leisure - to maintain what they have already learned, and at the same time to acquire from the beginning a sound knowledge of Elementary Algebra and Geometry. What is needed by such learners is first of all a course of varied and graduated Exercises in Arithmetic; then a careful exposition of the two new subjects, Algebra and Euclid, arranged and treated in such a way as to smooth the path of a beginner, and to encourage him to overcome difficulties by relying on his own industry and intelligence. These considerations have been kept in View in compiling the following pages. 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.