Graphic Algebra (Classic Reprint)

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Excerpt from Graphic AlgebraIT is now generally conceded that graphic methods are not only of great importance for practical work and scientific investigation, but also that their educational value for sec ondary instruction is very considerable. Consequently, an increasing number of schools have introduced graphic algebra into their courses, and several elementary text-books on graphs have been published.This book gives an elementary presentation of all the funda mental principles included in such courses, and contains in addition a number of methods which are shorter and require less numerical work than those usually given. Thus, for the solution of a cubic or biquadratic by the customary method a great deal of calculation is necessary to determine the co ordinates of a number of points. To avoid these calculations and to make the work truly graphic, the author has devised a series of methods for solving quadratics, cubics, and biquad ratios by means of a standard curve and straight lines or circles.Two of these methods - the solution of quadratics by a parabola 30) and of incomplete cubics by a cubic parabola 49) - are but slight modifications of methods previously known, the others are original with the author, who first pub lished them in a paper read before the American Mathematical Society in April, 1905.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.