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Pythagorean Triangles

2013-04-10 Mathematics
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Release : 2013-04-10
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis Pythagorean Triangles by : Waclaw Sierpinski

Download or read book Pythagorean Triangles written by Waclaw Sierpinski. This book was released on 2013-04-10. Available in PDF, EPUB and Kindle. Book excerpt: 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 Triangle, Or, The Science of Numbers

1875 Freemasonry
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Release : 1875
Genre : Freemasonry
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis The Pythagorean Triangle, Or, The Science of Numbers by : George Oliver

Download or read book The Pythagorean Triangle, Or, The Science of Numbers written by George Oliver. This book was released on 1875. Available in PDF, EPUB and Kindle. Book excerpt:

The Pythagorean Theorem

2019-11-19 Mathematics
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Release : 2019-11-19
Genre : Mathematics
Kind : eBook
Book Rating : 885/5 ( reviews)

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Book Synopsis The Pythagorean Theorem by : Eli Maor

Download or read book The Pythagorean Theorem written by Eli Maor. This book was released on 2019-11-19. 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.

The Pythagorean Theorem

2016-02-05 Mathematics
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Release : 2016-02-05
Genre : Mathematics
Kind : eBook
Book Rating : 539/5 ( reviews)

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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. This book was released on 2016-02-05. 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

2010-06-22 Mathematics
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Release : 2010-06-22
Genre : Mathematics
Kind : eBook
Book Rating : 215/5 ( reviews)

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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. This book was released on 2010-06-22. 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!

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