[PDF] The Secrets Of Triangles eBook

Author : Alfred S. Posamentier
Publisher : Prometheus Books
Page : 300 pages
File Size : 34,39 MB
Release : 2012-08-28
Category : Mathematics
ISBN : 1616145889

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Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.

Author : Jonathan Cahn
Publisher : Charisma Media
Page : 388 pages
File Size : 32,10 MB
Release : 2016-09-06
Category : Fiction
ISBN : 1629989428

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New York Times Best Seller! 1500 5-Star Reviews! From the author that brought you NEW YORK TIMES best selling books The Harbinger, The Mystery of the Shemitah, and The Paradigm selling over 3 MILLION copies Imagine if you discovered a treasure chest in which were hidden ancient mysteries, revelations from heaven, secrets of the ages, the answers to man’s most enduring, age-old questions, and the hidden keys that can transform your life to joy, success, and blessing…This is The Book of Mysteries.

Author : Katharine Weber
Publisher : Macmillan + ORM
Page : 255 pages
File Size : 16,12 MB
Release : 2011-02-22
Category : Fiction
ISBN : 1429994754

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Esther Gottesfeld is the last living survivor of the notorious 1911 Triangle Shirtwaist fire and has told her story countless times in the span of her lifetime. Even so, her death at the age of 106 leaves unanswered many questions about what happened that fateful day. How did she manage to survive the fire when at least 146 workers, most of them women, her sister and fiancé among them, burned or jumped to their deaths from the sweatshop inferno? Are the discrepancies in her various accounts over the years just ordinary human fallacy, or is there a hidden story in Esther's recollections of that terrible day? Esther's granddaughter Rebecca Gottesfeld, with her partner George Botkin, an ingenious composer, seek to unravel the facts of the matter while Ruth Zion, a zealous feminist historian of the fire, bores in on them with her own mole-like agenda. A brilliant, haunting novel about one of the most terrible tragedies in early-twentieth-century America, Triangle forces us to consider how we tell our stories, how we hear them, and how history is forged from unverifiable truths.

Author : Alfred S. Posamentier
Publisher : Prometheus Books
Page : 301 pages
File Size : 20,35 MB
Release : 2011-12-20
Category : Mathematics
ISBN : 1616144246

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What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.

Author : Alfred S. Posamentier
Publisher : Prometheus Books
Page : 298 pages
File Size : 18,89 MB
Release : 2013-08-13
Category : Mathematics
ISBN : 1616147482

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Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.

Author : Ellen Hopkins
Publisher : Simon and Schuster
Page : 520 pages
File Size : 20,98 MB
Release : 2012-06-26
Category : Fiction
ISBN : 1451626347

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Three female friends face midlife crises in a no-holds-barred exploration of sex, marriage, and the fragility of life.

Author : David Wells
Publisher :
Page : 440 pages
File Size : 11,19 MB
Release : 1997-02-18
Category : Mathematics
ISBN :

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Explores the patterns, properties, and problems associated with numbers, looking at topics from basic arithmetic to algebraic equations, and includes over 100 brainteasers and their solutions.

Author : Jordan Ellenberg
Publisher : Penguin
Page : 482 pages
File Size : 43,52 MB
Release : 2015-05-26
Category : Mathematics
ISBN : 0143127535

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“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Author : Alfred S. Posamentier
Publisher : Prometheus Books
Page : 352 pages
File Size : 26,31 MB
Release : 2016-08-23
Category : Mathematics
ISBN : 1633881687

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The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson’s terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry—leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves – many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle’s place on the sphere bring "full circle" this presentation of a key element of geometry.

Author : Michael Shermer
Publisher : Souvenir Press
Page : 303 pages
File Size : 20,27 MB
Release : 2011-09-01
Category : Mathematics
ISBN : 0285640666

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Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.