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Excerpt from A Geometrical Curves Which Curves Isogonal Conjugate to a Straight, Line With Respect to a Triangle in Two Parts, Vol. 1 of 2 From the similar triangles abh, and auc, Fig. 4, it follows that ah, is isogonal conjugate to au. Similarly it can be shown that the altitude from B is isogonal conjugate to the diameter through B; and the altitude from C is isogonal con jugate to the diameter through C. The orthocentre, H, there fore, is isogonal conjugate to hi, the centre of the circumcircle of the triangle. And since M is on Brocard's diameter, there fore is H on the equilateral hyperbola. 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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