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Excerpt from The Poles of a Right Line With Respect to a Curve of Order N: A Thesis Presented to the Faculty of Philosophy of the University of Pennsylvania By no one of these writers has a detailed study been made of the poles of a right line, or the (n intersections of the first polar curves of points in a right line, With respect to a curve of order n Steiner in general considers such points as the envelope of first polar curves of points on a given locus. In case the directrix is a right line, the envelope, by his formula, reduces to order zero. Cremona studies them from the standpoint of base points of a pencil of curves of order n 1 While both Salmon and Cremona call them specifically poles of the line, and give some limitations to their position in the case of cubics. 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.

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