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Excerpt from Treatise on Trigonometry The present work on Trigonometry is intended first for students who are beginning the subject but are hoping to proceed to more advanced mathematics, and secondly for those who are wishing to revise their study of Trigonometry and to extend it beyond the limits of an ordinary elementary text-book. It is in Trigonometry that the student is first introduced to almost all the principles which lie at the foundation of mathematics. Here negative and (so-called) imaginary symbols receive a use and meaning; symbols of quantity, of function, and of operation are distinguished from one another; ideas relating to limits, and to the indefinitely small and indefinitely great are brought into prominence; methods of approximation and errors of measurement are recognised; and the principle of continuity is made of service. With the purpose of bringing out clearly the train of reasoning required to establish and expound these principles, it has been thought desirable to make short digressions into Geometry, Algebra, and the Theory of Equations. A description of the plan of the work may be given. It is divided into two parts, headed, respectively. Geometrical and Algebraical. In the first, Geometrical applications and methods are prominent; in the second, the purely theoretical and analytical side is developed. The first part culminates in the properties of the points and circles connected with triangles and rectilineal figures. 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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9781331952800

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