Some Proofs in Elementary Geometry (Classic Reprint) PDF Download
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Author: George William Jones
Publisher: Forgotten Books
ISBN: 9780656356126
Category : Mathematics
Languages : en
Pages : 26
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Book Description
Excerpt from Some Proofs in Elementary Geometry Natural Logarithms; ten-place Logarithms; Weights and Measures; Mathematical Constants; Meridional Parts; square-roots; cube-roots; Reciprocals; Sines and Tangents of Small 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.
Author: George William Jones
Publisher: Forgotten Books
ISBN: 9780656356126
Category : Mathematics
Languages : en
Pages : 26
Get Book Here
Book Description
Excerpt from Some Proofs in Elementary Geometry Natural Logarithms; ten-place Logarithms; Weights and Measures; Mathematical Constants; Meridional Parts; square-roots; cube-roots; Reciprocals; Sines and Tangents of Small 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.
Author: George William Jones
Publisher: Forgotten Books
ISBN: 9781330221754
Category : Mathematics
Languages : en
Pages : 28
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Book Description
Excerpt from Some Proofs in Elementary Geometry The proofs here given are such proofs as I have been accustomed to give in my own classes. They are written out for my pupils; but if any teacher finds them useful I shall be very glad. They are alternative proofs that may be used instead of proofs by limits. They are meant to be rigorous. By a lemma is meant a theorem that is assumed to have been proved, and which is needed in the proof of the theorem under consideration. By a ratio is meant that number by which the consequent of the ratio is to be multiplied to give the antecedent. By the product of two lines is meant the rectangle of which the two lines are adjacent sides. If they be broken or curved, they are to be straightened first. By the product of a line and a surface is meant the rectangular parallelopiped whose altitude is the given line, and whose base is a rectangle equal in area to the given surface. If this surface be broken or curved, it is to be flattened first. By a line is meant a straight line. If a line be broken or curved, it is so named. By two equal lines is meant- two lines that are equal in length. By two equal surfaces is meant two surfaces that are equal in area. By two equal solids is meant two solids that are equal in volume. 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.
Author: George William Jones
Publisher: Legare Street Press
ISBN: 9781019577394
Category :
Languages : en
Pages : 0
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Book Description
Explore the beauty and logic of geometry with this collection of classical proofs. Ideal for students and teachers alike, this book provides step-by-step explanations for key theorems and propositions, along with helpful diagrams and exercises. 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 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. 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.
Author: James McMahon
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 244
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Book Description
Excerpt from Elementary Geometry Plane Similarly the lines which we trace on the surface Of a sheet of paper give some idea Of geometric lines. They are, however, only approximations to ideal geometric lines, no matter how finely they may be traced. 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.
Author: William F. Bradbury
Publisher:
ISBN: 9781332598601
Category : Mathematics
Languages : en
Pages : 124
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Book Description
Excerpt from An Elementary Geometry A large number of the Theorems usually presented in text books of Geometry are unimportant in themselves and in no way connected with the subsequent Propositions. By spending too much time on things of little importance, the pupil is fre quently unable to advance to those of the highest practical value. In this work, although no important Theorem has been omitted, not one has been introduced that is not necessary to the demonstration of the last Theorem of the five Books, namely, that in relation to the volume of a sphere. Thus the whole constitutes a single Theorem, without an unnecessary link in the chain of reasoning. 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.
Author: A. I. Fetisov
Publisher: Courier Corporation
ISBN: 0486154920
Category : Mathematics
Languages : en
Pages : 130
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Book Description
This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.
Author: R. H. Fowler
Publisher: Forgotten Books
ISBN: 9780428367756
Category : Mathematics
Languages : en
Pages : 114
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Book Description
Excerpt from The Elementary Differential Geometry of Plane Curves A limited selection of examples is given at the ends of the chapters. Besides their more Obvious function, these are intended to provide a summary of some of the more important extensions of the theorems proved in the text. References or sketches of a proof are therefore given in such cases, which should enable the reader to complete the proofs. 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.
Author: William Frothingham Bradbury
Publisher: Forgotten Books
ISBN: 9780365440215
Category : Mathematics
Languages : en
Pages : 252
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Book Description
Excerpt from An Elementary Geometry: Plane, Solid, and Spherical; With Numerous Exercises Illustrative of the Principles of Each Book The favor with which the author's smaller work on Elemen tary Geometry has been received has induced him to under take the present more complete work, in the hope that it may prove equally useful to the higher classes Of learners for whom it is intended. While each Book has been made fuller, the same plan has, for the most part, been followed as in the former work: as in that, numerous practical questions illustrative of each Book, and theorems for original demonstration are introduced, serv ing as practical applications of the principles of the Book, and for discipline in discovering methods Of demonstration. In addition to the exercises at the end of each Book many more, arranged in proper order, have been added at the close Of the whole. These features are believed to be of special value in securing a real acquaintance with Geometry and its practical application. 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.
Author: Edward Olney
Publisher: Forgotten Books
ISBN: 9780656100415
Category : Mathematics
Languages : en
Pages : 554
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Book Description
Excerpt from A Treatise on Special or Elementary Geometry: University Edition, Including an Elementary, and Also, in Part III., A Higher Course, in Plane, Solid, and Spherical Geometry, and Plane and Spherical Trigonometry, With the Necessary Tables The order of arrangement in Plane Geometry (chap. L), is thought to be simple, philosophical, and practical. A glance at the table of contents will show what it is. This arrangement secures the very important result, that each section presents some particular method of proof, and holds the student to it, until it is familiar. True, it requires that a larger number of propositions be demonstrated from fundamental truths; but who will consider this an objection? To such as consider it the sole province of geometrical demonstra tion, to convince the mind of the truth of a proposition, not a few theorems in these and ordinary pages must seem quite superfluous. To them, Pr0p. I., page 121, may afford some merriment. But those who, with myself, consider Geometry as a branch of practical logic, the aim of which is to detect and state the steps which actually lie be tween premise and conclusion, will see the propriety of such demonstra tions; and for each individual of the other class, a separate treatise will be needed, since no two minds will intuitively grant exactly the same propositions. 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.
Author: Asutosh Mookerjee
Publisher: Forgotten Books
ISBN: 9780266539254
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Excerpt from An Elementary Treatise on the Geometry of Conics A conic is a curve traced by a point which moves in a plane containing a fixed point and a fixed straight line, in such a way that its distance from the fixed point is in a constant ratio to its perpendicular distance from the fixed straight line. 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.
