Book Of Euclid Chapter I

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Euclid's Elements (the Thirteen Books)

Author : Euclid
Publisher :
ISBN 13 : 9781420956474
Total Pages : 404 pages
Book Rating : 4.9/5 (564 download)

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Book Synopsis Euclid's Elements (the Thirteen Books) by : Euclid

Download or read book Euclid's Elements (the Thirteen Books) written by Euclid and published by . This book was released on 2017-12-17 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.

Geometry: Euclid and Beyond

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne

Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Euclid's Window

Author : Leonard Mlodinow
Publisher : Simon and Schuster
ISBN 13 : 1439135371
Total Pages : 326 pages
Book Rating : 4.4/5 (391 download)

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Book Synopsis Euclid's Window by : Leonard Mlodinow

Download or read book Euclid's Window written by Leonard Mlodinow and published by Simon and Schuster. This book was released on 2010-09-28 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

Encounters with Euclid

Author : Benjamin Wardhaugh
Publisher : Princeton University Press
ISBN 13 : 0691235767
Total Pages : 416 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Encounters with Euclid by : Benjamin Wardhaugh

Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

The Thirteen Books of Euclid's Elements

Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (56 download)

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Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid

Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by . This book was released on 1956 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid—The Creation of Mathematics

Author : Benno Artmann
Publisher : Springer Science & Business Media
ISBN 13 : 1461214122
Total Pages : 352 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Euclid—The Creation of Mathematics by : Benno Artmann

Download or read book Euclid—The Creation of Mathematics written by Benno Artmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

Euclidean Geometry in Mathematical Olympiads

Author : Evan Chen
Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Euclid's Elements Redux

Author : John Casey
Publisher : Lulu.com
ISBN 13 : 9781312110786
Total Pages : 464 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Euclid's Elements Redux by : John Casey

Download or read book Euclid's Elements Redux written by John Casey and published by Lulu.com. This book was released on 2015-05-28 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //starrhorse.com/euclid/

Book of Euclid Chapter I

Author : Spyridon MATSIKAS
Publisher :
ISBN 13 : 9781712812754
Total Pages : 556 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Book of Euclid Chapter I by : Spyridon MATSIKAS

Download or read book Book of Euclid Chapter I written by Spyridon MATSIKAS and published by . This book was released on 2019-12-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: https://www.nayacreations.com for more information and details about the bookThe "Book of Euclid Chapter I" contains six projects for the "Lego WeDo 2.0" educational robotics package.For each project there are:A.Step by step very detailed building instructions for model construction.B.Programs for the "Lego Education" platformC.Programs and scripts for the "Scratch Desktop" platformD.Also, at www.nayacreations.com you will find videos, additional information and support for model and software development.List of projects:*The Guard of Ithaca*Mouse on the Moon (MegaStructure)*Moon Station calling Houston (MegaStructure)*Spinner with Launcher (MegaStructure)*Go Go Go Ale Ale Ale (MegaStructure)*The Hand of God (MegaStructure)MegaStructures projects require almost all pieces of the "Lego WeDo 2.0" package to complete the construction.

Elements of Mathematics

Author : John Stillwell
Publisher : Princeton University Press
ISBN 13 : 0691178542
Total Pages : 440 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Elements of Mathematics by : John Stillwell

Download or read book Elements of Mathematics written by John Stillwell and published by Princeton University Press. This book was released on 2017-11-07 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Euclid's Elements of Geometry

Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.5/5 (895 download)

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Book Synopsis Euclid's Elements of Geometry by : Euclid

Download or read book Euclid's Elements of Geometry written by Euclid and published by . This book was released on 2008 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.

Euclid in the Rainforest

Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 0452287839
Total Pages : 353 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Euclid in the Rainforest by : Joseph Mazur

Download or read book Euclid in the Rainforest written by Joseph Mazur and published by Penguin. This book was released on 2006-07-25 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

Experiencing Geometry

Author : David Wilson Henderson
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Experiencing Geometry by : David Wilson Henderson

Download or read book Experiencing Geometry written by David Wilson Henderson and published by Prentice Hall. This book was released on 2005 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

A High School First Course in Euclidean Plane Geometry

Author : Charles H. Aboughantous
Publisher : Universal-Publishers
ISBN 13 : 1599428229
Total Pages : 166 pages
Book Rating : 4.5/5 (994 download)

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Book Synopsis A High School First Course in Euclidean Plane Geometry by : Charles H. Aboughantous

Download or read book A High School First Course in Euclidean Plane Geometry written by Charles H. Aboughantous and published by Universal-Publishers. This book was released on 2010-10 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 First Six Books of the Elements of Euclid

Author : John Casey
Publisher :
ISBN 13 : 9781686928512
Total Pages : 212 pages
Book Rating : 4.9/5 (285 download)

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Book Synopsis The First Six Books of the Elements of Euclid by : John Casey

Download or read book The First Six Books of the Elements of Euclid written by John Casey and published by . This book was released on 2019-08-17 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of the Elements of Euclid, undertaken at the request of the principalsof some of the leading Colleges and Schools of Ireland, is intended tosupply a want much felt by teachers at the present day-the production of awork which, while giving the unrivalled original in all its integrity, would alsocontain the modern conceptions and developments of the portion of Geometryover which the Elements extend. A cursory examination of the work will showthat the Editor has gone much further in this latter direction than any of hispredecessors, for it will be found to contain, not only more actual matter thanis given in any of theirs with which he is acquainted, but also much of a specialcharacter, which is not given, so far as he is aware, in any former work on thesubject. The great extension of geometrical methods in recent times has madesuch a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern timeswhich require an accurate knowledge of Elementary Geometry, and to which itis in reality the best introduction

Euclidean Geometry and Transformations

Author : Clayton W. Dodge
Publisher : Courier Corporation
ISBN 13 : 0486138429
Total Pages : 306 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Euclidean Geometry and Transformations by : Clayton W. Dodge

Download or read book Euclidean Geometry and Transformations written by Clayton W. Dodge and published by Courier Corporation. This book was released on 2012-04-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Problems and Solutions in Euclidean Geometry

Author : M. N. Aref
Publisher : Courier Corporation
ISBN 13 : 0486477207
Total Pages : 274 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Problems and Solutions in Euclidean Geometry by : M. N. Aref

Download or read book Problems and Solutions in Euclidean Geometry written by M. N. Aref and published by Courier Corporation. This book was released on 2010-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.