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Excerpt from Lectures on the Theory of Plane Curves, Vol. 2: Delivered to Post-Graduate Students in the University of Calcutta The subject of Analytical Geometry covers so extensive a field that it is by no means easy to decide what to omit and what to insert a word is therefore necessary to explain the plan adopted in this book, which, I trust, will prove a useful introduction to the higher branches of the subject and will facilitate the study of a variety of algebraic curves. 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.

This text is the first exposition of a new theory which unifies the theories of knots, plane curves, caustics, and wavefronts in differential, symplectic, and contact geometry and topology.