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Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances, Projections of the Sphere, Dialling, Astronomy, the ... and Geodesic Operations
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 utilit 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 angles 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.
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 utilit 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 angles 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.
268 pages, Hardcover
First published August 20, 2015
About the author
Olinthus Gregory
211 booksOlinthus Gilbert Gregory (29 January 1774 – 2 February 1841) was an English mathematician, author and editor.
He was born on 29 January 1774 at Yaxley in Huntingdonshire. Having been educated by Richard Weston, a Leicester botanist, in 1793 he published a treatise, Lessons Astronomical and Philosophical. Having settled at Cambridge in 1796, Gregory first acted as sub-editor on the Cambridge Intelligencer, and then opened a booksellers shop. In 1802 he obtained an appointment as mathematical master at the Royal Military Academy, Woolwich through the influence of Charles Hutton, to whose notice he had been brought by a manuscript on the Use of the Sliding Rule; and when Hutton resigned in 1807 Gregory succeeded him in the professorship. Failing health obliged him to retire in 1838, and he died at Woolwich on 2 February 1841.
He was born on 29 January 1774 at Yaxley in Huntingdonshire. Having been educated by Richard Weston, a Leicester botanist, in 1793 he published a treatise, Lessons Astronomical and Philosophical. Having settled at Cambridge in 1796, Gregory first acted as sub-editor on the Cambridge Intelligencer, and then opened a booksellers shop. In 1802 he obtained an appointment as mathematical master at the Royal Military Academy, Woolwich through the influence of Charles Hutton, to whose notice he had been brought by a manuscript on the Use of the Sliding Rule; and when Hutton resigned in 1807 Gregory succeeded him in the professorship. Failing health obliged him to retire in 1838, and he died at Woolwich on 2 February 1841.
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