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Excerpt from Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1: Being the Substance of Lectures Delivered in the University of Dublin to the Candidates for Honors of the First Year in Arts The work now offered to the public contains, as its title indicates, the substance of lectures dc Iivered for some years in the University of Dublin to the candidates for mathematical honors of the first year in arts; and supposes, accordingly, a previous acquaintance only with the first six books of the Elements of Euclid, and with just that amount of the principles of Elementary Algebra essential to an intelligent conception of the nature of signs, and of the meaning and use of the ordi nary symbols of operation and quantity. 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.