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Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum; With the Elements ... in Elementary Geometry and Trigonometry - Softcover
Inhaltsangabe
Excerpt from Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum; With the Elements of Plane and Spherical Trigonometry, and Exercises in Elementary Geometry and Trigonometry
Ex way of preface, I will state what I have done in this edition, and explain the reason why I have done so. I have used such propositions only which are required to substantiate the principal theorems and problems by which the principles of Geometry have practical applica tions in Trigonometry, Surveying, Mechanics, Engineering, Navigation, and Astronomy. I have generalized the various propositions found in the school editions of Geometry, and where particular cases arise under such general propositions, I have given the demonstrations for them. I have arranged the propositions to give the Direct Method of demonstra tion in place of the Reductio ad absurdum or Indirect Method.
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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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Excerpt from Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum; With the Elements of Plane and Spherical Trigonometry, and Exercises in Elementary Geometry and Trigonometry
Ex way of preface, I will state what I have done in this edition, and explain the reason why I have done so. I have used such propositions only which are required to substantiate the principal theorems and problems by which the principles of Geometry have practical applica tions in Trigonometry, Surveying, Mechanics, Engineering, Navigation, and Astronomy. I have generalized the various propositions found in the school editions of Geometry, and where particular cases arise under such general propositions, I have given the demonstrations for them. I have arranged the propositions to give the Direct Method of demonstra tion in place of the Reductio ad absurdum or Indirect Method.
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.
Reseña del editor
Excerpt from Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum; With the Elements of Plane and Spherical Trigonometry, and Exercises in Elementary Geometry and Trigonometry
Sir - In permitting me to inscribe to you this Treatise of Elementary Geometry, you do me great honor. Your experience and success as a Teacher and an Author will readily enable you to give a full scrutiny to the design and compass of this volume. Much originality can not be expected in a subject which has been, for more than two thousand years, enriched by a great number of eminent men; but in these days of practicability, a modification of this science may be attempted, as you have yourself thought proper to do, with a view of utilizing the important principles of Geometry, and presenting them in such a manner that though "no royal road to Geometry" can be found, the path to a knowledge of it may be rendered so clear that the impediments will be in the learner himself. And to remove much difficulty in acquiring an easy acquaintance with its numerous theorems and problems, I have thought proper to exclude the inelegant Redirection ad absurdum from the methods of geometrical reasoning which you have expressed - "a consummation most devoutly to he wished," and which accomplishment, resulting from my labors, I now present for the benefit and use of those whose education is in the future.
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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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1330394135
- ISBN 13 9781330394137
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten274
- Kontakt zum HerstellerNicht verfügbar
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Benson, L: Geometry the Elements of Euclid and Legendre Simp
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Zustand: New. KlappentextrnrnExcerpt from Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum With the Elements of Plane and Spherical Trigonometry, and Exercises in Elementary Ge. Bestandsnummer des Verkäufers 2147757374
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Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum With the Elements in Elementary Geometry and Trigonometry
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Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum With the Elements in Elementary Geometry and Trigonometry
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330394137
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Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude
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Paperback. Zustand: New. Print on Demand. This book presents foundational geometry theorems and problems with a new approach that employs only the Direct Method of demonstration. It excludes the Reductio ad absurdum or Indirect Method of demonstration, aligning with the spirit of an increasingly progressive modern era. The author, a respected scholar and educator, presents a streamlined approach to the subject that emphasizes simplicity and accessibility. The text, enriched by contributions from eminent mathematicians over centuries, provides an updated and practical interpretation of geometrical principles. By eliminating the Indirect Method, this book offers a clearer pathway to understanding geometry. It explores the fundamental concepts of lines, angles, triangles, and parallelograms, elucidating their properties and interrelationships. The Direct Method ensures that each proposition is proven directly, fostering a deeper comprehension of the subject. This book is an invaluable resource for students, educators, and anyone seeking a comprehensive understanding of geometry. It revitalizes this ancient subject, making it more relevant and accessible to contemporary learners, contributing fresh insights to a discipline that continues to intrigue and challenge. 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. Bestandsnummer des Verkäufers 9781330394137_0
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