Excerpt from An Elementary Exposition of Grassmann's Ausdehnungslehre, or Theory of Extension The sum qf any number of vectors is found by joining the beginning point of the second vector to the end point of the first, the beginning point of the third to the end point of the second. And so on; the vector from the beginning point of the first vector to the end point of the last is the sum required. The sum and difference of two vectors are the diagonals of the parallelogram whose adjacent sides are the given vectors. 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.