Excerpt from An Elementary Treatise on Plane and Spherical Trigonometry Of the following work, the Treatise on Plane and Spherical Trigonometry is from Lacroix's Course of Mathematics. The new division of the circle being adopted in the original, a few alterations have been found necessary to adapt it to the sexagesimal notation in use in this country. Where there has been occasion to add any thing on this account, or to supply any thing by way of illustration, it is given in the form of a note, and the reference is made by an obelisk, the author's being always distinguished by an asterisk. The chapter on the Application of Algebra to Geometry is selected from the Algebra of Bezout. It was the intention of the compiler to have made use of the more improved treatise of Lacroix or that of Biot upon this subject; but as analytical geometry has hitherto made no part of the mathematics taught in the public seminaries of the United States, and as only a small portion of time is allotted to such studies, and this in many instances at an age not sufficiently mature for inquiries of an abstract nature, it was thought best to make the experiment with a treatise distinguished for its simplicity and plainness. The original being prepared for the use of the Marine and Artillery, those parts have been suppressed, which were not adapted to the purpose of general instruction. 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.