Pythagorean Triangle
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The Pythagorean Theorem
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Author : Eli Maor
language : en
Publisher: Princeton University Press
Release Date : 2019-11-19
The Pythagorean Theorem written by Eli Maor and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-19 with Mathematics categories.
Frontmatter --Contents --List of Color Plates --Preface --Prologue: Cambridge, England, 1993 --1. Mesopotamia, 1800 BCE --Sidebar 1: Did the Egyptians Know It? --2. Pythagoras --3. Euclid's Elements --Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose --4. Archimedes --5. Translators and Commentators, 500-1500 CE --6. François Viète Makes History --7. From the Infinite to the Infinitesimal --Sidebar 3: A Remarkable Formula by Euler --8. 371 Proofs, and Then Some --Sidebar 4: The Folding Bag --Sidebar 5: Einstein Meets Pythagoras --Sidebar 6: A Most Unusual Proof --9. A Theme and Variations --Sidebar 7: A Pythagorean Curiosity --Sidebar 8: A Case of Overuse --10. Strange Coordinates --11. Notation, Notation, Notation --12. From Flat Space to Curved Spacetime --Sidebar 9: A Case of Misuse --13. Prelude to Relativity --14. From Bern to Berlin, 1905-1915 --Sidebar 10: Four Pythagorean Brainteasers --15. But Is It Universal? --16. Afterthoughts --Epilogue: Samos, 2005 --Appendixes --Chronology --Bibliography --Illustrations Credits --Index.
The Pythagorean Triangle Or The Science Of Numbers
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Author : George Oliver
language : en
Publisher:
Release Date : 1875
The Pythagorean Triangle Or The Science Of Numbers written by George Oliver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1875 with Freemasonry categories.
Pythagorean Triangles
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Author : Waclaw Sierpinski
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10
Pythagorean Triangles written by Waclaw Sierpinski and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
This classic text, written by a distinguished mathematician and teacher, focuses on a fundamental theory of geometry. Topics include all types of Pythagorean triangles.
The Pythagorean Theorem
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Author : Eli Maor
language : en
Publisher: Princeton University Press
Release Date : 2007
The Pythagorean Theorem written by Eli Maor and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The author presents a complex history of the Pythagorean Theorem, examining the earliest evidence of knowledge of the theorem to Einstein's theory of relativity.
The Metaphysics Of The Pythagorean Theorem
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Author : Robert Hahn
language : en
Publisher: SUNY Press
Release Date : 2017-05-01
The Metaphysics Of The Pythagorean Theorem written by Robert Hahn and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-01 with Philosophy categories.
Explores Thaless speculative philosophy through a study of geometrical diagrams. Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Platos Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahns book will enrich the study of ancient philosophy and mathematics alike.
The Pythagorean Theorem
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Author : Merle A. Barlow
language : en
Publisher: WestBow Press
Release Date : 2016-02-05
The Pythagorean Theorem written by Merle A. Barlow and has been published by WestBow Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-05 with Mathematics categories.
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.
Guided Math Stretch Pythagorean Theorem It S Greek To Me
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Author : Lanney Sammons
language : en
Publisher: Teacher Created Materials
Release Date : 2014-06-01
Guided Math Stretch Pythagorean Theorem It S Greek To Me written by Lanney Sammons and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-01 with categories.
Engage your mathematics students at the beginning of class with this whole-class warm-up activity. This product features a step-by-step lesson, assessment information, and a snapshot of what the warm-up looks like in the classroom.
Mathematics Before And After Pythagoras
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Nature
Release Date : 2024-11-29
Mathematics Before And After Pythagoras written by Ravi P. Agarwal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-29 with Mathematics categories.
This book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed. It begins with a thorough study of Pythagoreanism and the early Pythagoreans, including the major events in Pythagoras' life and the origins of the mystical significance attributed by Pythagoreans to natural numbers. From Chapter 3 onward, the book describes how mathematical thinking works and prepares the reader for the subsequent chapters, which cover mathematical logic and proofs, their application to the study of natural and prime numbers, the investigation of Pythagorean triples, figurative numbers, and irrational numbers, all interwoven with rich historical context. Aimed at students and teachers at all levels, this work is accessible to non-mathematicians as well, with the main prerequisite being an avid curiosity about some of the ideas and thinkers that helped to forge the mathematical world as we know it. Early praises for “Mathematics Before and After Pythagoras”: “Your book is charming and fun to read. It would be fine to be able to teach from it.” (Steve Krantz, USA) “...your new book, an obvious labor of love... I can see that it will be an inspiration for young students.” (Bruce Berndt, USA) “It is an excellent book, and I am deeply grateful for sending it to me. It is an extraordinary gift, and I am so grateful for this.” (Carlo Cattani, Italy) “I am really impressed by the wealth of interesting material you have collected and presented.” (Rainer Kress, Germany)
The Pythagorean Theorem Eight Classic Proofs
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Author : Dr. Sid Kolpas
language : en
Publisher: Dr. Sidney J. Kolpas
Release Date : 2018-09-01
The Pythagorean Theorem Eight Classic Proofs written by Dr. Sid Kolpas and has been published by Dr. Sidney J. Kolpas this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-01 with Mathematics categories.
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.
Fermat S Last Theorem
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Author : Harold M. Edwards
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-01-14
Fermat S Last Theorem written by Harold M. Edwards 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 2000-01-14 with Mathematics categories.
This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.