The Pythagorean Theorem Eight Classic Proofs

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The Pythagorean Theorem Eight Classic Proofs

Author : Dr. Sid Kolpas
Publisher : Dr. Sidney J. Kolpas
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Pythagorean Theorem Eight Classic Proofs by : Dr. Sid Kolpas

Download or read book The Pythagorean Theorem Eight Classic Proofs written by Dr. Sid Kolpas and published by Dr. Sidney J. Kolpas. This book was released on 2018-09-01 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pythagorean Theorem is one of the most important ideas in all of mathematics. In this book, students study history and geometry as they explore eight elegant proofs of the theorem from across the centuries. Included are interesting facts about the theorem, a brief biography of Pythagoras, and a list of concepts needed to understand the proofs. Learn how Leonardo Da Vinci, President James A. Garfield, Pythagoras, the Chinese, Bhaskara, and others proved this famous theorem about the right triangle. This would be a useful book for any student taking Geometry, or anyone interested in Mathematics History. NOW WITH A LINK TO POWERPOINT SLIDES YOU CAN DOWNLOAD WITH ANIMATIONS, VIDEOS, PICTURES, AND HYPERLINKS TO SUPPLEMENT THE BOOK. Each proof is displayed in color with an explanation of the steps taken in its geometric presentation. Blackline masters for the proofs, and for manipulatives that offer students hands-on understanding, are included. The book is in PDF format.

The Pythagorean Theorem

Author : Sidney J. Kolpas
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (224 download)

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Book Synopsis The Pythagorean Theorem by : Sidney J. Kolpas

Download or read book The Pythagorean Theorem written by Sidney J. Kolpas and published by . This book was released on 1992 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Pythagorean Theorem

Author : Dale Seymour
Publisher :
ISBN 13 : 9780866515986
Total Pages : 44 pages
Book Rating : 4.5/5 (159 download)

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Book Synopsis The Pythagorean Theorem by : Dale Seymour

Download or read book The Pythagorean Theorem written by Dale Seymour and published by . This book was released on 1992 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Pythagorean Proposition

Author : Elisha Scott Loomis
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Pythagorean Proposition by : Elisha Scott Loomis

Download or read book The Pythagorean Proposition written by Elisha Scott Loomis and published by . This book was released on 1927 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Pythagorean Theorem

Author : Merle A. Barlow
Publisher : WestBow Press
ISBN 13 : 1512727539
Total Pages : 121 pages
Book Rating : 4.5/5 (127 download)

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Book Synopsis The Pythagorean Theorem by : Merle A. Barlow

Download or read book The Pythagorean Theorem written by Merle A. Barlow and published by WestBow Press. This book was released on 2016-02-05 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pythagoras, a famous Greek scholar, sathematician, and philosopher, formulated a proof for a theorem that is named for him—the Pythagorean theorem. This theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagorean theorem for right-angled triangles likely was known long before the time of Pythagoras. It was probably used by the ancient Egyptians to construct the pyramids. The theorem is quite believable without rigorous proof to anyone willing to expend a modest effort in some experimentation. One method is to draw a number of right-angled triangles in as wide a variety as practicable and measure all of the sides. It will be determined that, for each triangle drawn, the square of the length of the side opposite the right angle is about equal to the sum of the lengths of the squares of the other two sides. Another method requires the availability of a balance. For this more interesting experiment, construct a right-angled triangle and a square on each side using a piece of sheet metal or cardboard. Then cut out the three squares and weigh them on the balance. The square on the hypotenuse should balance the other two. Contained within this book are some rigorous proofs and some interesting perspectives regarding right angles and right-angled triangles. Doubtless, this theorem is one of the most useful concepts in mathematics.

The Pythagorean Theorem

Author : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 0691196885
Total Pages : 284 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Pythagorean Theorem by : Eli Maor

Download or read book The Pythagorean Theorem written by Eli Maor and published by Princeton University Press. This book was released on 2019-11-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

N-Gen Math 8: Bundle - 20

Author : Kirk Weiler
Publisher :
ISBN 13 : 9781944719371
Total Pages : pages
Book Rating : 4.7/5 (193 download)

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Book Synopsis N-Gen Math 8: Bundle - 20 by : Kirk Weiler

Download or read book N-Gen Math 8: Bundle - 20 written by Kirk Weiler and published by . This book was released on 2021-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Analysis of Proofs for the Pythagorean Theorem

Author : Lee Roy Kellam
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis An Analysis of Proofs for the Pythagorean Theorem by : Lee Roy Kellam

Download or read book An Analysis of Proofs for the Pythagorean Theorem written by Lee Roy Kellam and published by . This book was released on 1928 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

History and the Many Proofs of the Pythagorean Theorem

Author : Daniel C. Morris (Jr.)
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (994 download)

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Book Synopsis History and the Many Proofs of the Pythagorean Theorem by : Daniel C. Morris (Jr.)

Download or read book History and the Many Proofs of the Pythagorean Theorem written by Daniel C. Morris (Jr.) and published by . This book was released on 2007 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements

Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Euclid's Elements by : Euclid

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.

The Art of Problem Solving, Volume 1

Author : Sandor Lehoczky
Publisher : Mitchell Beazley
ISBN 13 : 9780977304561
Total Pages : 0 pages
Book Rating : 4.3/5 (45 download)

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Book Synopsis The Art of Problem Solving, Volume 1 by : Sandor Lehoczky

Download or read book The Art of Problem Solving, Volume 1 written by Sandor Lehoczky and published by Mitchell Beazley. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover

The Pythagorean Theorem

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1616143215
Total Pages : 320 pages
Book Rating : 4.6/5 (161 download)

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Book Synopsis The Pythagorean Theorem by : Alfred S. Posamentier

Download or read book The Pythagorean Theorem written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2010-06-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pythagorean theorem may be the best-known equation in mathematics. Its origins reach back to the beginnings of civilization, and today every student continues to study it. What most nonmathematicians don''t understand or appreciate is why this simply stated theorem has fascinated countless generations. In this entertaining and informative book, a veteran math educator makes the importance of the Pythagorean theorem delightfully clear.He begins with a brief history of Pythagoras and the early use of his theorem by the ancient Egyptians, Babylonians, Indians, and Chinese, who used it intuitively long before Pythagoras''s name was attached to it. He then shows the many ingenious ways in which the theorem has been proved visually using highly imaginative diagrams. Some of these go back to ancient mathematicians; others are comparatively recent proofs, including one by the twentieth president of the United States, James A. Garfield. After demonstrating some curious applications of the theorem, the author then explores the Pythagorean triples, pointing out the many hidden surprises of the three numbers that can represent the sides of the right triangle (e.g, 3, 4, 5 and 5, 12, 13). And many will truly amaze the reader. He then turns to the "Pythagorean means" (the arithmetic, geometric, and harmonic means). By comparing their magnitudes in a variety of ways, he gives the reader a true appreciation for these mathematical concepts. The final two chapters view the Pythagorean theorem from an artistic point of view - namely, how Pythagoras''s work manifests itself in music and how the Pythagorean theorem can influence fractals. The author''s lucid presentation and gift for conveying the significance of this key equation to those with little math background will inform, entertain, and inspire the reader, once again demonstrating the power and beauty of mathematics!

Proofs from THE BOOK

Author : Martin Aigner
Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Proofs from THE BOOK by : Martin Aigner

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Connecting Mathematics and Mathematics Education

Author : Erich Christian Wittmann
Publisher : Springer Nature
ISBN 13 : 3030615707
Total Pages : 332 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Connecting Mathematics and Mathematics Education by : Erich Christian Wittmann

Download or read book Connecting Mathematics and Mathematics Education written by Erich Christian Wittmann and published by Springer Nature. This book was released on 2020-12-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.

Algebraic Pythagorean Theorem 24 Proofs by Moonhee L. Cho

Author :
Publisher : Moonhee Leebae Cho
ISBN 13 : 0578095815
Total Pages : 60 pages
Book Rating : 4.5/5 (78 download)

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Book Synopsis Algebraic Pythagorean Theorem 24 Proofs by Moonhee L. Cho by :

Download or read book Algebraic Pythagorean Theorem 24 Proofs by Moonhee L. Cho written by and published by Moonhee Leebae Cho. This book was released on with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book of Proof

Author : Richard H. Hammack
Publisher :
ISBN 13 : 9780989472111
Total Pages : 314 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis Book of Proof by : Richard H. Hammack

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Pythagorean Theorem Proofs

Author : Cheng-Yao Lin
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Pythagorean Theorem Proofs by : Cheng-Yao Lin

Download or read book Pythagorean Theorem Proofs written by Cheng-Yao Lin and published by . This book was released on 2007 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are over 400 proofs of the Pythagorean Theorem. Some are visual proofs, others are algebraic. This paper features several proofs of the Pythagorean Theorem in different cultures--Greek, Chinese, Hindu and American. Several interactive websites are introduced to explore ways to prove this beautiful theorem. (Contains 8 figures.).