Euclid S Elements Of Plane Geometry

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Euclid S Elements

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Author : Euclid
language : en
Publisher:
Release Date : 2002

Euclid S Elements written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Euclid S Elements Of Plane Geometry 1 6

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Author : Euclid
language : en
Publisher:
Release Date : 1857

Euclid S Elements Of Plane Geometry 1 6 written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1857 with categories.

Euclid In Greek Volume 1

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Author : Thomas L. Heath
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-17

Euclid In Greek Volume 1 written by Thomas L. Heath and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-17 with History categories.

Originally published in 1920, this volume contains book one of Euclid's Elements in Greek, together with an introduction and notes section written in English. It was created to provide young students with a contextual understanding of geometry and the development of geometrical principles, one which was increasingly neglected in the standard school textbooks of the time. By returning to the Elements in their original form it was hoped that students would gain a fundamental understanding of the ideas put forward in the text, one which would increase their knowledge and enthusiasm. It was also hoped that the dual process of learning Greek and geometry would be an effective way of impressing content on the mind of the learner. This volume will be of value to anyone with an interest in geometry and the development of pedagogy.

Euclid S Elements Of Plane Geometry Explicitly Enunciated

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Author : Euclid
language : en
Publisher:
Release Date : 1879

Euclid S Elements Of Plane Geometry Explicitly Enunciated written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with categories.

Euclid S Elements Of Plane Geometry

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Author : J. Pryde
language : en
Publisher: BoD – Books on Demand
Release Date : 2022-07-28

Euclid S Elements Of Plane Geometry written by J. Pryde and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-28 with Fiction categories.

Reprint of the original, first published in 1860.

Geometry Euclid And Beyond

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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Geometry Euclid And Beyond written by Robin Hartshorne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks.

A High School First Course In Euclidean Plane Geometry

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Author : Charles H. Aboughantous
language : en
Publisher: Universal-Publishers
Release Date : 2010-10

A High School First Course In Euclidean Plane Geometry written by Charles H. Aboughantous and has been published by Universal-Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10 with Mathematics categories.

A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.

The Foundations Of Geometry

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Author : David Hilbert
language : en
Publisher: Read Books Ltd
Release Date : 2015-05-06

The Foundations Of Geometry written by David Hilbert and has been published by Read Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-06 with History categories.

This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.

Elements Of Plane Geometry According To Euclid

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Author : Robert Simson
language : en
Publisher: Palala Press
Release Date : 2016-05-19

Elements Of Plane Geometry According To Euclid written by Robert Simson and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-19 with categories.

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.

Philosophy Of Mathematics And Deductive Structure In Euclid S Elements

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Author : Ian Mueller
language : en
Publisher: Courier Dover Publications
Release Date : 2006

Philosophy Of Mathematics And Deductive Structure In Euclid S Elements written by Ian Mueller and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.