The Pythagorean Triangle
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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 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 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.
Math With Bad Drawings
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Author : Ben Orlin
language : en
Publisher: Hachette UK
Release Date : 2018-09-18
Math With Bad Drawings written by Ben Orlin and has been published by Hachette UK 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.
Hidden Harmonies
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Author : Ellen Kaplan
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2011-01-04
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 2011-01-04 with Mathematics categories.
The Harvard mathematician authors of The Art of the Infinite present a history of the famous relation "A squared plus B squared equals C squared" that assesses its contributors from da Vinci to the Freemasons while analyzing its numerous proofs and applications.
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.
The Pythagorean Triangle
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Author : Rev George Oliver
language : en
Publisher: Literary Licensing, LLC
Release Date : 2014-03
The Pythagorean Triangle written by Rev George Oliver and has been published by Literary Licensing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03 with categories.
This Is A New Release Of The Original 1922 Edition.
The Pythagorean Triangle Or The Science Of Numbers
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Author : George Oliver
language : en
Publisher: Theclassics.Us
Release Date : 2013-09
The Pythagorean Triangle Or The Science Of Numbers written by George Oliver and has been published by Theclassics.Us this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 edition. Excerpt: ... PROGRESSIVE GENERATION OF THE TETRAD OR SOLID, REPRESENTING FIRE. THE SOLID, TETRAD, QUATERNARY, OR THE NUMBER FOUR. CHAPTER IV. THE SOLID. TETRAD, QUATERNARY, OR THE NUMBER FOUR. "By that pure, holy, Four-Letter Name on high, Nature's eternal fountain and supply, The parent of all souls that living be, By Him, with faithful oath, I swear to thee." Oath Of Pythagoras. "The Grand and Sacred Name ought to be saluted four times in four peculiar positions, for the following reasons."--Old Lectdbes. HE tetrad, though not essentially masonic, for the only instances in which it I is exemplified, viz., in the Sacred Name and the Cherubim, are attached to the third degree only, was esteemed the most perfect number, and referred to the Author of nature, or T.G.A.O. T.U.; and his name was therefore composed of four letters, nW, and was called Tetragrammaton by the Jews, and Tetractys by the Gentiles; of the latter of whom Hierocles, in his exposition of the Golden Verses of Pythagoras, says, "He is the Demiurgus, the architect and maker of all tilings." These are his words: "The author of these verses shows that the tetrad, which is the fountain of the perpetual orderly distribution of things, is the same with God who is the Demiurgus; an intelligible god, the source of the celestial and sensible good." The tetrad, as Mr Taylor thinks, is, however, the animal itself of Plato, who, as Syrianus justly observes, was the best of the Pythagoreans; subsists at the extremity of the intelligible triad, as is most satisfactorily shown by Proclus in the third book of his treatise on the theology of Plato. And between these two triads, the one intelligible, and the other intellectual, another order of gods exists, which partakes of both extremes. This number...
A Pythagorean Introduction To Number Theory
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Author : Ramin Takloo-Bighash
language : en
Publisher: Springer
Release Date : 2018-11-26
A Pythagorean Introduction To Number Theory written by Ramin Takloo-Bighash and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-26 with Mathematics categories.
Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.