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Author : Paul Joseph Eby
Publisher :
ISBN 13 :
Total Pages : 63 pages
Book Rating : 4.:/5 (788 download)
Download or read book Principles of Plane Geometry Determined by Analysis of Ten Textbooks written by Paul Joseph Eby and published by . This book was released on 1949 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Wallace MacDonald
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principles of Plane Geometry written by James Wallace MacDonald and published by . This book was released on 1889 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. W. Macdonald
Publisher : Forgotten Books
ISBN 13 : 9781330048535
Total Pages : 75 pages
Book Rating : 4.0/5 (485 download)
Download or read book Principles of Plane Geometry written by J. W. Macdonald and published by Forgotten Books. This book was released on 2015-06-12 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Principles of Plane Geometry The most appropriate preface for a book of this kind would be an exposition of the principles of psychology pertaining to the development and training of the reasoning and linguistic faculties. As such a preface, however, would be more pretentious than the book proper, and as these principles have been so well expounded by many eminent writers, I must content myself by merely urging studious investigation upon all teachers who are ambitious to practise the best methods. If teachers will do this, of one thing I am confident, - they will grant that the purpose of this book is right in theory, even if in practice certain difficulties may seem to them insurmountable. 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 : J. W Macdonald
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (816 download)
Download or read book Principles of Plane Geometry written by J. W Macdonald and published by . This book was released on 1893 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. S. Burchett
Publisher : Kessinger Publishing
ISBN 13 : 9781437063448
Total Pages : 168 pages
Book Rating : 4.0/5 (634 download)
Download or read book Practical Plane Geometry (1876) written by E. S. Burchett and published by Kessinger Publishing. This book was released on 2008-10-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Author : Herbert E. Hawkes
Publisher : Forgotten Books
ISBN 13 : 9780365247630
Total Pages : 326 pages
Book Rating : 4.2/5 (476 download)
Download or read book Plane Geometry (Classic Reprint) written by Herbert E. Hawkes and published by Forgotten Books. This book was released on 2019-01-20 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane Geometry Although the study of geometry is important from an informational point of view, it is generally recognized that a genuine mastery of the subject means real achievement in the solution of original exercises. The chief aim of the authors in preparing this text has been to give such assistance to students as will stimulate insight and develop power to solve exercises of gradually increasing difficulty. The content and organization of the first book of geometry are determining factors in the student's progress in the sub ject. The first ten or twenty theorems determine whether a student will grasp quickly the general trend of the subject or remain bewildered for an indefinite period. The simplicity and directness of the early theorems and the order in which they are presented are elements of the highest importance in an effective introduction. These elements were given the most careful consideration in the preparation of this text. If the first theorem is used in proving the second and the sec ond in proving the third, and so on, the student will soon see a reason for mastering the content of each theorem. But if the initial theorem is used for the first time in the fifteenth theorem, and the second is used next in the eighth, the first month's work will give the impression: that geometry deals with unrelated facts which lead nowhere. Such an arrange ment of the theorems of geometry will hamper even the strongest students, and will make progress almost impossible for the less capable. 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. W. H. (Ansle William Haught Thompson
Publisher : Hardpress Publishing
ISBN 13 : 9781290574112
Total Pages : 150 pages
Book Rating : 4.5/5 (741 download)
Download or read book A New Analysis of Plane Geometry, Finite and Differential, with Numerous Examples written by A. W. H. (Ansle William Haught Thompson and published by Hardpress Publishing. This book was released on 2012-08-01 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Author : George D Pettee
Publisher : Legare Street Press
ISBN 13 : 9781019982242
Total Pages : 0 pages
Book Rating : 4.9/5 (822 download)
Download or read book Plane Geometry written by George D Pettee and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook covers the fundamental principles of plane geometry in a clear and accessible way. With an emphasis on practical applications, this book is perfect for high-school students and anyone studying mathematics. Topics covered include geometric diagrams, angles, triangles, quadrilaterals, parallel lines, and circles. 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 : Eugene Randolph Smith
Publisher : Theclassics.Us
ISBN 13 : 9781230236490
Total Pages : 46 pages
Book Rating : 4.2/5 (364 download)
Download or read book Plane Geometry Developed by the Syllabus Method written by Eugene Randolph Smith and published by Theclassics.Us. This book was released on 2013-09 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ... SECTION VIII. TRIANGLE THEOREMS 92. Theorem I. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are congruent. Analysis Class. Triangles congruent. Known Methods. Coincidence, using the axiom of motion. Method to be used. One triangle will be supposed to be placed on the other, and the given facts will then be used to determine whether they would coincide. II. B-would fall on E, - nc = Ef (given). A would fall on D, -.- CA = FD (given). III. AB would coincide with DE (but one straight line through two points). IV. .-. A ABC si A DEF (def. =s). Note. It often makes the conditions of the theorem more clear if those conditions are indicated in the figure. The usual way of showing equal parts is to place a like mark on any two parts that are known to be equal. In the figure used in Th. I, the equal parts are indicated by such marks. Where equal parts are used in the theorem, although not given, the same method is sometimes used. 93. Corresponding Parts of Congruent Figures. When two figures coincide, each part (side or angle) of one coincides with a part of the other, and is therefore equal to it. Two parts of congruent figures that would coincide if the figures were made to coincide are called corresponding, or homologous parts. When two figures are known to be congruent on account of their having certain equal parts, -- as by Th. I, -- the other corresponding parts can be told by their position relative to the known parts; as, by their being opposite to known parts, or between two known parts. In Th. I, AB -- DE, Z A = Z . D, Z B = Z E. The most important use of congruence of figures is to prove equality of lines and of angles. 94. Theorem...
Author : G. Wentworth
Publisher : CreateSpace
ISBN 13 : 9781505488326
Total Pages : 316 pages
Book Rating : 4.4/5 (883 download)
Download or read book Plane Geometry written by G. Wentworth and published by CreateSpace. This book was released on 2014-12-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is intended to have the first sixteen pages of this book simply read in the class, with such running comment and discussion as may be useful to help the beginner catch the spirit of the subject-matter, and not leave him to the mere letter of dry definitions. In like manner, the definitions at the beginning of each Book should be read and discussed in the recitation room. There is a decided advantage in having the de_nitions for each Book in a single group so that they can be included in one survey and discussion. For a similar reason the theorems of limits are considered together. The subject of limits is exceedingly interesting in itself, and it was thought best to include in the theory of limits in the second Book every principle required for Plane and Solid Geometry. Most persons do not possess, and do not easily acquire, the power of abstraction requisite for apprehending geometrical conceptions, and for keeping in mind the successive steps of a continuous argument. Hence, with a very large proportion of beginners in Geometry, it depends mainly upon the form in which the subject is presented whether they pursue the study with indifference, not to say aversion, or with increasing interest and pleasure. Great care, therefore, has been taken to make the pages attractive. The figures have been carefully drawn and placed in the middle of the page, so that they fall directly under the eye in immediate connection with the text; and in no case is it necessary to turn the page in reading a demonstration. Full, long-dashed, and short-dashed lines of the _gures indicate given, resulting, and auxiliary lines, respectively. Bold-faced, italic, and roman type has been skilfully used to distinguish the hypothesis, the conclusion to be proved, and the proof. As a further concession to the beginner, the reason for each statement in the early proofs is printed in small italics, immediately following the statement. This prevents the necessity of interrupting the logical train of thought by turning to a previous section, and compels the learner to become familiar with a large number of geometrical truths by constantly seeing and repeating them. This help is gradually discarded, and the pupil is left to depend upon the knowledge already acquired, or to _nd the reason for a step by turning to the given reference. It must not be inferred, because this is not a geometry of interrogation points, that the author has lost sight of the real object of the study. The training to be obtained from carefully following the logical steps of a complete proof has been provided for by the Propositions of the Geometry, and the development of the power to grasp and prove new truths has been provided for by original exercises. The chief value of any Geometry consists in the happy combination of these two kinds of training. The exercises have been arranged according to the test of experience, and are so abundant that it is not expected that any one class will work them all out. The methods of attacking and proving original theorems are fully explained in the first Book, and illustrated by su_cient examples; and the methods of attacking and solving original problems are explained in the second Book, and illustrated by examples worked out in full. None but the very simplest exercises are inserted until the student has become familiar with geometrical methods, and is furnished with elementary but much needed instruction in the art of handling original propositions; and he is assisted by diagrams and hints as long as these helps are necessary to develop his mental powers su_ciently to enable him to carry on the work by himself. The law of converse theorems, the distinction between positive and negative quantities, and the principles of reciprocity and continuity have been briey explained; but the application of these principles is left mainly to the discretion of teachers.
Author : H. F. Baker
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (819 download)
Download or read book An Introduction to Plane Geometry with Many Examples written by H. F. Baker and published by . This book was released on 1971 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1222 pages
Book Rating : 4.:/5 (31 download)
Download or read book Naval Training Bulletin written by and published by . This book was released on 1944 with total page 1222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Webster Wells
Publisher : Forgotten Books
ISBN 13 : 9781330007426
Total Pages : 200 pages
Book Rating : 4.0/5 (74 download)
Download or read book New Plane Geometry written by Webster Wells and published by Forgotten Books. This book was released on 2015-06-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from New Plane Geometry In the preparation of this text the author acknowledges joint authorship with Robert L. Short. Geometry is approached from the constructive side, all methods of construction needed for drawing any figure in Books I or II being given in the introduction. In cases where a geometric principle is used in any construction, a note at the end tells where the principle is proved. In a figures in the early portions of Book I, the construction lines and arcs are given; afterwards these are dispensed with. In Props. II and III, Book I, and in other places, colored diagrams are given in addition to the regular figures, in which the equal parts in the given triangles are represented by lines of the same color; this scheme will be found of great assistance to the pupil in the earlier portions of the work. Below each figure is a paragraph in smaller type, giving full directions for the construction of the diagram in accordance with the statement of the theorem. This gives the pupil a familiarity with the figure, and what in it is given, and what to be proved, that is of great value, and lessens the tendency to memorize. Many figures are omitted, but complete directions for their construction are given in each case. In all figures given in connection with theorems and problems, given and required lines are made heavy. Attention is invited to the order of theorems in Book I; in this case, the pupil begins with the easier proofs. From the start the student has practice in representing angles and lines by small letters. Only the outline of the proof is given after Book II, except in the more difficult demonstrations. In this outline work the pupil has explicit directions, but develops the demonstration himself. 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 : Nicholas Tillinghast
Publisher : Legare Street Press
ISBN 13 : 9781022528901
Total Pages : 0 pages
Book Rating : 4.5/5 (289 download)
Download or read book Elements of Plane Geometry written by Nicholas Tillinghast and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook covers plane geometry, including various shapes, lines, angles, and measurements. Aimed at a school-aged audience, it provides clear explanations and numerous examples to aid in understanding. Whether for classroom use or self-study, this guide is an invaluable resource for mastering the principles of plane geometry. 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 : J. W. 1843- MacDonald
Publisher : Palala Press
ISBN 13 : 9781355050254
Total Pages : 82 pages
Book Rating : 4.0/5 (52 download)
Download or read book Principles of Plane Geometry written by J. W. 1843- MacDonald and published by Palala Press. This book was released on 2016-05-01 with total page 82 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.
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author : Henry F. Baker
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (313 download)
Download or read book Principles of Geometry written by Henry F. Baker and published by . This book was released on 1954 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
