Spherical Trigonometry: "For the Use of Colleges and Schools"

(The present work is constructed on the same plan as my tr...)

The present work is constructed on the same plan as my treatise on Plane Trigonometry, to which it is intended as a sequel; it contains all the propositions usually included under the head of Spherical Trigonometry, together with a large collection of examples for exercise. In the course of the work reference is made to preceding writers from whom assistance has been obtained; besides these writers I have consulted the treatises on Trigonometry by Lardner, Lefebure de Fourcy, and Snowball, and the treatise on Geometry published in the Library of Useful Knowledge. The examples have been chiefly selected from the University and College Examination Papers. In the account of Napier’s Rules of Circular Parts an explanation has been given of a method of proof devised by Napier, which seems to have been overlooked by most modern writers on the subject. I have had the advantage of access to an unprinted Memoir on this point by the late R. L. Ellis of Trinity College; Mr Ellis had in fact rediscovered for himself Napier’s own method. For the use of this Memoir and for some valuable references on the subject I am indebted to the Dean of Ely.Considerable labour has been bestowed on the text in order to render it comprehensive and accurate, and the examples have all been carefully verified; and thus I venture to hope that the work will be found useful by Students and Teachers. In the third edition I have made some additions which I hope will be found valuable. I have considerably enlarged the discussion on the connexion of Formulæ in Plane and Spherical Trigonometry; so as to include an account of the properties in Spherical Trigonometry which are analogous to those of the Nine Points Circle in Plane Geometry. The mode of investigation is more elementary than those hitherto employed; and perhaps some of the results are new. The fourteenth Chapter is almost entirely original, and may deserve attention from the nature of the propositions themselves and of the demonstrations which are given. Cambridge, July

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Problems and Solutions in Plane Trigonometry (LaTeX Edition): For the use of Colleges and Schools

(Highly Recommended for IIT JEE and Olympiads 1000+ Pro...)

Highly Recommended for IIT JEE and Olympiads 1000+ Problems with Solutions and 100+ Articles This book collects together the problems set out at end of each chapter in the author's Textbook of Plane Trigonometry along with the possible solutions, which are linked with an explanation of the sort of reasoning used in order to arrive at one of the answers. In many cases, several answers are given for one question. The result is a book which can be used independently of the main volume. This book helps in acquiring a better understanding of the basic principles of Plane Trigonometry and in revising a large amount of the subject matter quickly. It is also to be noticed, that each Example, or Problem is here enunciated at the head of its Solution as well as all the relevant articles are part of the appendix; so that the book, though a fitting Companion to the textbook, is not inseparable from it, but may be used, as a Book of Exercises, with any other treatise on Plane Trigonometry. We are grateful for this opportunity to put the materials into a consistent format, and to correct errors in the original publication that have come to our attention. We are highly indebted to Chandra Shekhar Kumar for the fruitful discussions which led to the idea of masterminding this entire project. He helped us put hundreds of pages of typographically difficult material into a consistent digital format. The process of compiling this book has given us an incentive to improve the layout, to double-check almost all of the mathematical rendering, to correct all known errors, to improve the original illustrations by redrawing them with Till Tantau's marvelous TikZ. Thus the book now appears in a form that we hope will remain useful for at least another generation.

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A treatise on analytical statics, with numerous examples

(A treatise on analytical statics, with numerous examples ...)

A treatise on analytical statics, with numerous examples 388 Pages.

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The Elements of Euclid (Everyman's Library, No. 891)

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A History of the Progress of the Calculus of Variations During the Nineteenth Century (Classic Reprint)

(In 1810 a work was published inC ambridge under tlie foll...)

In 1810 a work was published inC ambridge under tlie following title AT reatise on I sopertmefrical Problems and the Calculus of Variations. By Robert Woodhome, A.M., F.B.8., Fellow of Caius College, Cambridge. Tbia work details the history of the Calculus of Variations from its origin until the close of the eighteenth century, and has obtained a high reputation for accuracy and clearness. During the present century some of the most eminent mathematicians have endeavoured to enlarge the boundaries of the subject, and it seemed probable that a survey of what had been accomplished would not be destitute of interest and value. Accordingly the present work has been undertaken, and a short account will now be given of its plan. (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. Read books online for free at www.forgottenbooks.org

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Solutions to Problems Contained in a Treatise on Plane Coordinate Geometry (Classic Reprint)

(Excerpt from Solutions to Problems Contained in a Treatis...)

Excerpt from Solutions to Problems Contained in a Treatise on Plane Coordinate Geometry It might also be reached by revolving through an angle so as to reach the position 0d, and then measuring our distance, not along the revolving line od, but along its part 0a produced backwards hence the point can also be defined by the co-ordinates J2. 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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Mechanics for Beginners

(This is a pre-1923 historical reproduction that was curat...)

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.

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A Treatise On the Integral Calculus and Its Applications With Numerous Examples

(This work has been selected by scholars as being cultural...)

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.

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Algebra for Beginners: With Numerous Examples

( This work has been selected by scholars as being cultur...)

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.

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