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9781334281785: Elements of Trigonometry, Plane and Spherical (Classic Reprint)

Synopsis

This book is a comprehensive guide to trigonometry with a detailed exposition of functions, relations, and their significance in mathematics. The author delves into the subject's historical context, tracing the development of trigonometry as a tool for solving problems in astronomy and surveying. Concepts are thoroughly explained with precise proofs, providing a solid foundation in trigonometry. The book covers a wide range of topics, including trigonometric functions, their relations, identities, and applications in solving equations and triangles. It also covers inverse trigonometric functions and their use in calculus. The book's thematic depth lies in its focus on presenting trigonometry as a logical system with coherent interconnections between its different parts. By shedding light on the underlying principles of trigonometry, this book aims to foster a deep understanding of the subject and its enduring relevance in scientific and mathematical disciplines.

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Présentation de l'éditeur

Trigonometry is a part of Geometry which has for its subject-matter, A ngles. It is chiefly occupied in presenting a scheme for measuring and comparing angles, by means of certain auxiliary lines called Trigonometrical Functions, in investigating the relations between these functions, and in the solution of triangles by means of ths relations between their sides and the trigonometrical functions of their angles. 2. Plane Trigonometry irmt of plane angles and triangles, in distinction from Spherical Trigonometry, which treats of spherical angles and triangles. 3. A Function i a quantity, or a mathematical expression, conceived as depending upon some other quantity or quantities for its value. Ill A mans wages wa given time is a function of the amount received per day; or, in general, liis wages is a function of both tlie time of service and the amiO unt received per day. A gain, in the expressions y= 2aar, y=. 2B +5,y =2logoa;, y= a,y is a function of x; since, the numbers 2, 5, a and hbeing considered fixed or constant, the value of ydepends upon the value we assign to x. For a like reason such expressions as va ,and Soic 2vSJ may be spoken of as functions of x. Once more, the area of a triangle is a function of its base and altitude. 4. Angles as Functions of Arcs We have learned in Geometry (P art XL, Sec.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text.

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Olney, Edward
Edité par Forgotten Books, 2019
ISBN 10 : 1334281785 ISBN 13 : 9781334281785
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Olney, Edward
Edité par Forgotten Books, 2019
ISBN 10 : 1334281785 ISBN 13 : 9781334281785
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LX-9781334281785

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Edward Olney
Edité par Forgotten Books, 2018
ISBN 10 : 1334281785 ISBN 13 : 9781334281785
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Paperback. Etat : New. Print on Demand. This book is a comprehensive guide to trigonometry with a detailed exposition of functions, relations, and their significance in mathematics. The author delves into the subject's historical context, tracing the development of trigonometry as a tool for solving problems in astronomy and surveying. Concepts are thoroughly explained with precise proofs, providing a solid foundation in trigonometry. The book covers a wide range of topics, including trigonometric functions, their relations, identities, and applications in solving equations and triangles. It also covers inverse trigonometric functions and their use in calculus. The book's thematic depth lies in its focus on presenting trigonometry as a logical system with coherent interconnections between its different parts. By shedding light on the underlying principles of trigonometry, this book aims to foster a deep understanding of the subject and its enduring relevance in scientific and mathematical disciplines. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781334281785_0

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