The Generation of Surfaces (Classic Reprint)

Book excerpt: Excerpt from The Generation of Surfaces 1. A surface may be defined by a property common to each of its points; in this case we obtain the equation of the surface by translating this property analytically. But more usually, however, a surface is defined by the movement of a line in space. Suppose. 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.