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Excerpt from A Treatise on Spherical Trigonometry, Vol. 2: With Application to Spherical Geometry and Numerous Examples Part I., viz. That each should be as complete as possible in itself. To this end We have introduced into Chap. VI., which treats of the circles related to a triangle, a section on the angular distances of the pole of the Circumcircle from the poles of the In and Ex-circles, and also a sec tion embracing the general properties of Dr. Hart's Circle. These sections, however, and such other material throughout the work as appeared too difficult for the beginner, have been placed in small type, and may be judiciously omitted on first reading. In Chap. VII, which treats of Areas, an attempt has been made to reduce to general headings what has gene rally appeared in a straggling shape. Some novelty has also been introduced into it, e. G. A geometrical representa tion of the Spherical Excess, and a section on Maximum Areas, as well as an introductory section. Chapter VIII. Is devoted entirely to the properties of the Chordal Tri angle, and the most meagre perusal will render it obvious why it does not appear earlier in the work. Chapters IX. And X. Are the result of an attempt to reduce to general headings some propositions apparently of an outlying and miscellaneous character. They have been considerably developed, and the principles in them are so important as not only to justify their insertion, but also to amply repay any time or trouble spent upon them. 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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