Applications Of Plane And Spherical Trigonometry Classic Reprint

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Applications of Plane and Spherical Trigonometry (Classic Reprint)

Author : Eugene Lamb Richards
Publisher : Forgotten Books
ISBN 13 : 9780331840414
Total Pages : 104 pages
Book Rating : 4.8/5 (44 download)

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Book Synopsis Applications of Plane and Spherical Trigonometry (Classic Reprint) by : Eugene Lamb Richards

Download or read book Applications of Plane and Spherical Trigonometry (Classic Reprint) written by Eugene Lamb Richards and published by Forgotten Books. This book was released on 2017-11-24 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Applications of Plane and Spherical Trigonometry IN this book nothing more has been attempted than an introduction to the subjects specified, and a logical application of the principles of Trigonometry to them; so that a student, faithfully mastering these chapters, may understandingly pursue the subjects in larger treatises. 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.

A Treatise on Plane and Spherical Trigonometry, and Its Applications to Astronomy and Geodesy

Author : Edward A. Bowser
Publisher : Forgotten Books
ISBN 13 : 9780484532402
Total Pages : 388 pages
Book Rating : 4.5/5 (324 download)

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Book Synopsis A Treatise on Plane and Spherical Trigonometry, and Its Applications to Astronomy and Geodesy by : Edward A. Bowser

Download or read book A Treatise on Plane and Spherical Trigonometry, and Its Applications to Astronomy and Geodesy written by Edward A. Bowser and published by Forgotten Books. This book was released on 2017-12-23 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on Plane and Spherical Trigonometry, and Its Applications to Astronomy and Geodesy: With Numerous Examples Definitions of the Trigonometric Functions The Functions are always the Same for the Same Angle Functions of Complemental Angles. 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.

Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Sol

Download Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Sol PDF Online Free

Author : Olinthus Gregory
Publisher : Sagwan Press
ISBN 13 : 9781296784072
Total Pages : 270 pages
Book Rating : 4.7/5 (84 download)

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Book Synopsis Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Sol by : Olinthus Gregory

Download or read book Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Sol written by Olinthus Gregory and published by Sagwan Press. This book was released on 2018-01-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Elements of Plane and Spherical Trigonometry

Author : Olinthus Gregory
Publisher : Forgotten Books
ISBN 13 : 9781334013737
Total Pages : 270 pages
Book Rating : 4.0/5 (137 download)

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Book Synopsis Elements of Plane and Spherical Trigonometry by : Olinthus Gregory

Download or read book Elements of Plane and Spherical Trigonometry written by Olinthus Gregory and published by Forgotten Books. This book was released on 2016-10-20 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trigonometry, Plane and Spherical

Author : Thomas Simpson
Publisher : Forgotten Books
ISBN 13 : 9780265918449
Total Pages : 82 pages
Book Rating : 4.9/5 (184 download)

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Book Synopsis Trigonometry, Plane and Spherical by : Thomas Simpson

Download or read book Trigonometry, Plane and Spherical written by Thomas Simpson and published by Forgotten Books. This book was released on 2017-10-29 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Trigonometry, Plane and Spherical: With the Construction and Application of Logarithms Lane Trigonometry is the art whereby, having given any three parts of a plane triangle, (except the three angles) the re. 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.

New Plane and Spherical Trigonometry (Classic Reprint)

Author : Webster Wells
Publisher : Forgotten Books
ISBN 13 : 9780484045995
Total Pages : 134 pages
Book Rating : 4.0/5 (459 download)

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Book Synopsis New Plane and Spherical Trigonometry (Classic Reprint) by : Webster Wells

Download or read book New Plane and Spherical Trigonometry (Classic Reprint) written by Webster Wells and published by Forgotten Books. This book was released on 2018-02-04 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from New Plane and Spherical Trigonometry The results have been worked out by aid Of the author's new Six Place Logarithmic Tables, which contain also a Table Of Natural Functions, and an Auxiliary Table for Small Angles. The Trigonometry can be obtained either with or without the Tables. 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.

Elements of Plane and Spherical Trigonometry

Author : J. R. Young
Publisher : Forgotten Books
ISBN 13 : 9780364509531
Total Pages : 280 pages
Book Rating : 4.5/5 (95 download)

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Book Synopsis Elements of Plane and Spherical Trigonometry by : J. R. Young

Download or read book Elements of Plane and Spherical Trigonometry written by J. R. Young and published by Forgotten Books. This book was released on 2018-03-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Plane and Spherical Trigonometry: With Its Applications to the Principles of Navigation and Nautical Astronomy; With the Logarithmic and Trigonometrical Tables IT is the design of this treatise to establish the theory of Plane and Spherical Trigonometry analytically, and to pre sent that theory, together with some of its most interesting and valuable applications, in a form fitted for elementary instruction. Of late years several analytical works on Trigonometry have been published in this country; but, as they are con fined almost entirely to the theory of the subject, it may be questioned whether, to many young students, they prove much else than so many collections of mere algebraical exercises. Yet a book upon so practical a subject as Trigono metry ought undoubtedly to be something more than this, and ought not to be considered as complete when the various calculations which the science involves, and which its name implies, are wholly omitted. 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 and Spherical Trigonometry (Classic Reprint)

Author : H. N. Wheeler
Publisher : Forgotten Books
ISBN 13 : 9780282150709
Total Pages : 198 pages
Book Rating : 4.1/5 (57 download)

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Book Synopsis Plane and Spherical Trigonometry (Classic Reprint) by : H. N. Wheeler

Download or read book Plane and Spherical Trigonometry (Classic Reprint) written by H. N. Wheeler and published by Forgotten Books. This book was released on 2017-05-29 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane and Spherical Trigonometry This book originated in a desire to give to my private pupils a better idea of the trigonometric functions of obtuse angles than they could obtain from any book with which I was acquainted, I believe that a student can get a comprehensive and thorough knowledge Of trigonometry most quickly and easily, if, at the outset, such definitions are given to the trigonometric functions as will apply to all angles with this idea for a basis, I have endeavored to prepare an elementary text-book for general use. By beginning with an explanation of the use of the negative sign as applied to lines and angles, and then giving general definitions to the trigonometric functions, I have been able to demon strate all the fundamental formulas in a perfectly general yet simple manner. 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.

The Elements of Plane and Spherical Trigonometry

Author : Richard Abbatt
Publisher : Forgotten Books
ISBN 13 : 9780282641276
Total Pages : 222 pages
Book Rating : 4.6/5 (412 download)

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Book Synopsis The Elements of Plane and Spherical Trigonometry by : Richard Abbatt

Download or read book The Elements of Plane and Spherical Trigonometry written by Richard Abbatt and published by Forgotten Books. This book was released on 2017-06-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Elements of Plane and Spherical Trigonometry: And Its Application Astronomy, Dialling, and Trigonometrical Surveying; With Plates; Designed for Mathematical Students The seventh section includes such a view of the higher trigonometrical analysis as accorded with the limited nature of the work. 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.

Elements of Trigonometry

Author : William Charles Brenke
Publisher :
ISBN 13 : 9781330467237
Total Pages : 178 pages
Book Rating : 4.4/5 (672 download)

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Book Synopsis Elements of Trigonometry by : William Charles Brenke

Download or read book Elements of Trigonometry written by William Charles Brenke and published by . This book was released on 2015-06-28 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Trigonometry: With Tables Elements of Trigonometry: With Tables was written by William Charles Brenke in 1917. This is a 167 page book, containing 46624 words and 79 pictures. Search Inside is enabled for this title. 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.

A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy

Author : John Casey
Publisher : Forgotten Books
ISBN 13 : 9780282673963
Total Pages : 196 pages
Book Rating : 4.6/5 (739 download)

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Book Synopsis A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy by : John Casey

Download or read book A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy written by John Casey and published by Forgotten Books. This book was released on 2017-10-20 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy: With Numerous Examples The present Manual is intended as a Sequel to the Author's Treatise on Plane Trigonometry, and is written on the same plan. An examination of the Table of Contents, or of the Index, will show the scope of the work. It will be seen that, though moderate in size, it contains a large amount of matter, much Of which is original. 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.

A Treatise on Plane and Spherical Trigonometry (Classic Reprint)

Author : William Chauvenet
Publisher : Forgotten Books
ISBN 13 : 9781334016165
Total Pages : 262 pages
Book Rating : 4.0/5 (161 download)

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Book Synopsis A Treatise on Plane and Spherical Trigonometry (Classic Reprint) by : William Chauvenet

Download or read book A Treatise on Plane and Spherical Trigonometry (Classic Reprint) written by William Chauvenet and published by Forgotten Books. This book was released on 2016-10-20 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on Plane and Spherical Trigonometry IN this edition, besides a number of minor changes, and the correction of some typographical errors, a very important modification has been made in the solution of the equation tan a: p tan y by series (p. Which was given in former editions in the usual form as stated by all writers on trigonometry. This form was dis covered to lack generality, and consequently to fail in certain applications, in con sequence of the omission of the arbitrary term mr now introduced. Several subse quent investigations, depending on this, have in like manner been rectified. 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 and Spherical Trigonometry, and Surveying (Classic Reprint)

Author : George Albert Wentworth
Publisher : Forgotten Books
ISBN 13 : 9780656481583
Total Pages : 276 pages
Book Rating : 4.4/5 (815 download)

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Book Synopsis Plane and Spherical Trigonometry, and Surveying (Classic Reprint) by : George Albert Wentworth

Download or read book Plane and Spherical Trigonometry, and Surveying (Classic Reprint) written by George Albert Wentworth and published by Forgotten Books. This book was released on 2018-02-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane and Spherical Trigonometry, and Surveying It is hoped that young teachers will derive great advantage from studying the systematic arrangement of the work, and that all teach ers who are pressed for time will find great relief by not being obliged to work out every problem in the Trigonometry and Sur. 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.

A Treatise on Plane and Spherical Trigonometry

Author : William Chauvenet
Publisher : Wentworth Press
ISBN 13 : 9780469110458
Total Pages : 258 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis A Treatise on Plane and Spherical Trigonometry by : William Chauvenet

Download or read book A Treatise on Plane and Spherical Trigonometry written by William Chauvenet and published by Wentworth Press. This book was released on 2019-02-21 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Practical Text-Book on Plane and Spherical Trigonometry (Classic Reprint)

Author : Webster Wells
Publisher : Forgotten Books
ISBN 13 : 9780656106615
Total Pages : 226 pages
Book Rating : 4.1/5 (66 download)

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Book Synopsis A Practical Text-Book on Plane and Spherical Trigonometry (Classic Reprint) by : Webster Wells

Download or read book A Practical Text-Book on Plane and Spherical Trigonometry (Classic Reprint) written by Webster Wells and published by Forgotten Books. This book was released on 2018-02-08 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Practical d104-Book on Plane and Spherical Trigonometry Tms work is intended as a practical text-book on Plane and Spherical Trigonometry, adapted to the needs of High Schools and Colleges. While considerable space has been devoted to the development of the theoretical portions of the subject, the practical applica tions of the formula have not been neglected, and in the chapters on the. Solution of Triangles will be found a carefully selected assortment of exercises and ex amples, arranged With the view of giving the student a thorough drill in numerical computation. Chapter II. Is devoted to the functions of acute angles, the definitions being given by aid of the right triangle; a number of numerical and other exercises serve to give familiarity With them, and the usual fundamental relations are deduced. In Chapter III. The principles of the rectangular co - ordinates of a point in a plane are employed to give general definitions of the functions, applicable to angles of any magnitude, positive or negative, and the fundamental relations are proved to hold universally. 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.

The Elements of Plane and Spherical Trigonometry (Classic Reprint)

Author : Eugene Lamb Richards
Publisher : Forgotten Books
ISBN 13 : 9781333427030
Total Pages : 224 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis The Elements of Plane and Spherical Trigonometry (Classic Reprint) by : Eugene Lamb Richards

Download or read book The Elements of Plane and Spherical Trigonometry (Classic Reprint) written by Eugene Lamb Richards and published by Forgotten Books. This book was released on 2016-08-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Elements of Trigonometry

Author : Andrew W. Phillips
Publisher : Forgotten Books
ISBN 13 : 9780265366257
Total Pages : 326 pages
Book Rating : 4.3/5 (662 download)

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Book Synopsis Elements of Trigonometry by : Andrew W. Phillips

Download or read book Elements of Trigonometry written by Andrew W. Phillips and published by Forgotten Books. This book was released on 2017-10-15 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.