The Pythagorean Theorem


The Pythagorean Theorem
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The Pythagorean Theorem


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.


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.



The Pythagorean Theorem


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.



The Pythagorean Proposition


The Pythagorean Proposition
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Author : Elisha Scott Loomis
language : en
Publisher:
Release Date : 1968

The Pythagorean Proposition written by Elisha Scott Loomis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.




Hidden Harmonies


Hidden Harmonies
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Author : Ellen Kaplan
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2011-01-11

Hidden Harmonies written by Ellen Kaplan and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-11 with Mathematics categories.


A squared plus b squared equals c squared. It sounds simple, doesn't it? Yet this familiar expression is a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, acclaimed authors Robert and Ellen Kaplan. With wit, verve, and clarity, they trace the life of the Pythagorean theorem, from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons-not to mention the elusive Pythagoras himself, who almost certainly did not make the statement that bears his name. How can a theorem have more than one proof? Why does this one have more than two hundred-or is it four thousand? The Pythagorean theorem has even more applications than proofs: Ancient Egyptians used it for surveying property lines, and today astronomers call on it to measure the distance between stars. Its generalizations are stunning-the theorem works even with shapes on the sides that aren't squares, and not just in two dimensions, but any number you like, up to infinity. And perhaps its most intriguing feature of all, this tidy expression opened the door to the world of irrational numbers, an untidy discovery that deeply troubled Pythagoras's disciples. Like the authors' bestselling The Nothing That Is and Chances Are . . .-hailed as "erudite and witty," "magnificent," and "exhilarating"-Hidden Harmonies makes the excitement of mathematics palpable.



An Introduction To The Pythagorean Theorem


An Introduction To The Pythagorean Theorem
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Author : David Fidkin
language : en
Publisher: Vantage Press
Release Date : 1993-04-01

An Introduction To The Pythagorean Theorem written by David Fidkin and has been published by Vantage Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-01 with categories.




Pythagoras


Pythagoras
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Author : Alicia Klepeis
language : en
Publisher: Mitchell Lane
Release Date : 2019-09-04

Pythagoras written by Alicia Klepeis and has been published by Mitchell Lane this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Juvenile Nonfiction categories.


Mathematician. Philosopher. World traveler. Pythagoras was an intellgient and curious scholar and teacher. While he’s best known for the Pythagorrean theorem, he shared ideas about numbers, animals and many other areas of knwoledge with his students. Since none of his writingers were left behind, it’s not always easy for historians to know what’s true about Pythagoras and what may be legendary. What does seem apparent is that he was a vegetarian but not a trendy dresser. Some people saw him as godlike. Others felt he made false claims about things. No matter what, Pythagoras’s curiosity and willinngness to grapplw with complex issues have helped further the knowledge of mathemativs and philosophy for thousands of years.



The Pythagorean Theorem


The Pythagorean Theorem
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Author : Alfred S. Posamentier
language : en
Publisher:
Release Date : 2010

The Pythagorean Theorem written by Alfred S. Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


among the numbers of a Pythagorean triple will truly amaze the reader. Posamentier next turns to "Pythagorean means" (the arithmetic, geometric, and harmonic means). Outlining Pythagoras's contributions to the methods used for measuring and comparing quantities in a variety of ways gives the reader a true appreciation for these valuable mathematical concepts. Finally, the last two chapters take a some what different approach to the topic and view the Pythagorean Theorem from an artistic point of view. The author shows how Pythagoras's work manifests itself in music and how the Pythagorean Theorem has influenced fractals, including the founding of a new class of fractals called "Pythagorean trees." Posamentier'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. --Book Jacket.



The Metaphysics Of The Pythagorean Theorem


The Metaphysics Of The Pythagorean Theorem
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Author : Robert Hahn
language : en
Publisher: State University of New York Press
Release Date : 2017-05-01

The Metaphysics Of The Pythagorean Theorem written by Robert Hahn and has been published by State University of New York Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-01 with Philosophy categories.


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 Plato's Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn's book will enrich the study of ancient philosophy and mathematics alike.



Pythagoras Using Transformations


Pythagoras Using Transformations
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Author : Garnet J. Greenbury
language : en
Publisher:
Release Date : 1995

Pythagoras Using Transformations written by Garnet J. Greenbury and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Pythagorean proposition categories.




Math With Bad Drawings


Math With Bad Drawings
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Author : Ben Orlin
language : en
Publisher: Black Dog & Leventhal
Release Date : 2018-09-18

Math With Bad Drawings written by Ben Orlin and has been published by Black Dog & Leventhal this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-18 with Mathematics categories.


A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.