Excerpt from An Introduction to Algebra Upon the Inductive Method of Instruction The examples in the first fifty pages involve nearly all the Opera tions, that are ever required in simple numerical equations, with one and two unknown quantities. In the ninth article, the learner is taught to generalize particular cases, and to form rules. Ilere he is first taught to represent known quantities by letters, and at the same time the purpose Of it. The transition from particular cases to general principles is made as gra dual as possible. At first only a part of the question is generalized, and afterwards the whole Of it. 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.