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Excerpt from An Elementary Treatise on Cross-Ratio Geometry: With Historical Notes As there is scarcely any part of conics to which the theory of cross-ratio is not applicable, and as I wished to curtail the size of the book as much as possible, it was necessary to follow some definite path, and I have selected the course which leads us to consider conics through four points, and conics touching four lines, their common chords and tangents, the relations between the four constants of homology obtained by taking any pair of common chords with the pair of corresponding tangent vertices as axes and centres of homology, and conics having double contact. I took this route because it contains parts of the subject which have not previously been fully treated, and at the same time it gives the student a good illustration of the power of the theory. A good deal of the work in these chapters is original, and where it is not so, references have been given, where possible, to the original authorities. 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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