Excerpt from Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances, Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic Operations Plane Trigonometry geometrically, and haveshown the application of that theory to the logarithmic solutions Of the usual cases into which this portion of the subject is conveniently distributed. I have endeavoured to conduct these introductory inquiries with the utmost perspicuity; that the student, by obtaining a thorough comprehension of the principal topics of research, and by seeing a little of their utility, may enter with the greater relish upon the subsequent investigations; and by tracing the correspondence of these results with such as will afterwards appear in the analytical theory of Plane Trigonometry, may be prepared to lean with full confidence upon the analytical formula that are in other places to be laid before him. The deductions from theory in the succeeding chapters are usually Obtained by analytical processes; and their utility is shown in the logarithmic and trigonometric solution of a great number of problems, classified under the particular heads of the several applications, as specified in the ta ble of contents. The whole, except what relates to the minute variations of the sides and angle of triangles, and'the differential analogies which apply to them, may, I am persuaded, be readily comprehended by any per son who is tolerably conversant with the elements of Geometry and Algebra. 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.

Excerpt from The Elements of Plane and Spherical Trigonometry If it is required, at a given point, to make an oh tuse angle of a given number of degrees, we produce the line through the given point, and make an angle on the line produced equal to the supplement of the given angle. Thus let it be required to make an angle of 100 at the point A in the given line A B. 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.

Excerpt from Elements of Plane and Spherical Trigonometry In treatment, the endeavor has been to prepare a well graded text-book at once simple, practical, thorough, and as full in details as is consistent with the plan of the work. In deducing and exemplifying principles the author has kept steadily in view the mental training of the student, as well as his advancement in the art of trigonometric computations. Several new features will be found, notably the Trigonometric Circle (art. And the introduction of the terms opposite, adjacent, and like functions (arts. 18, 20, which it is thought will serve to crystallize the student's ideas of the functions and their relations. 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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Excerpt from Elements of Trigonometry: Plane and Spherical Our grateful acknowledgments are due to our colleague, Professor James Pierpont, for valuable suggestions regard ing the construction of Chapter VI. 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.