The Secrets of Triangles

The Secrets of Triangles

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2012-08-28

Total Pages: 300

ISBN-13: 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.


Book Synopsis The Secrets of Triangles by : Alfred S. Posamentier

Download or read book The Secrets of Triangles written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2012-08-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Book of Mysteries

The Book of Mysteries

Author: Jonathan Cahn

Publisher: Charisma Media

Published: 2016-09-06

Total Pages: 388

ISBN-13: 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.


Book Synopsis The Book of Mysteries by : Jonathan Cahn

Download or read book The Book of Mysteries written by Jonathan Cahn and published by Charisma Media. This book was released on 2016-09-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Triangle

Triangle

Author: Katharine Weber

Publisher: Farrar, Straus and Giroux

Published: 2011-02-22

Total Pages: 256

ISBN-13: 9781429994750

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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.


Book Synopsis Triangle by : Katharine Weber

Download or read book Triangle written by Katharine Weber and published by Farrar, Straus and Giroux. This book was released on 2011-02-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Triangles

Triangles

Author: Peter Titelman

Publisher: Routledge

Published: 2012-03-22

Total Pages: 607

ISBN-13: 1136862269

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Move through emotional triangles toward a natural systems view of the individual in the context of the family and society Triangles: Bowen Family Systems Theory Perspectives presents clear applications of Murray Bowen’s concept of the emotional triangle in the family, the organization, and society. This comprehensive book discusses in detail the theory, the theory’s application to the therapist’s own family, clinical applications, organizational applications, and societal applications. This unique resource examines the value of the triangle concept for understanding the emotional process of the family, the organization, and society. Triangles: Bowen Family Systems Theory Perspectives provides a theoretical context for understanding the triangle concept and its application, then progresses to exploring and applying the concept of the triangle and interlocking triangles to self, family, and other contexts. This book is devoted to explicating Bowen’s seminal concept of the triangle, and providing a clear description of the process of detriangling in clinical practice. The text includes several case studies and vignettes to illustrate concepts. Topics in Triangles: Bowen Family Systems Theory Perspectives include: a historical and conceptual overview the triangle’s function in the effort to increase differentiation of self the presence of triangles in non-human primates Bowen’s differentiation of self effort in his own family and business the functioning of triangles at the time of chronic illness and death emotional triangles involving pets and humans the application of the concept of triangles and interlocking triangles to clinical issues in marriage the presence of triangles in the child-focused family triangles in stepfamilies the triangle’s presence and function in families with substance abusing teens triangles involving extramarital relationships triangles in organizations and businesses the triangle’s function in the context in societal emotional process and much more! Triangles: Bowen Family Systems Theory Perspectives is a stimulating, enlightening resource for family therapists, social workers, psychologists, pastoral counselors, and counselors.


Book Synopsis Triangles by : Peter Titelman

Download or read book Triangles written by Peter Titelman and published by Routledge. This book was released on 2012-03-22 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Move through emotional triangles toward a natural systems view of the individual in the context of the family and society Triangles: Bowen Family Systems Theory Perspectives presents clear applications of Murray Bowen’s concept of the emotional triangle in the family, the organization, and society. This comprehensive book discusses in detail the theory, the theory’s application to the therapist’s own family, clinical applications, organizational applications, and societal applications. This unique resource examines the value of the triangle concept for understanding the emotional process of the family, the organization, and society. Triangles: Bowen Family Systems Theory Perspectives provides a theoretical context for understanding the triangle concept and its application, then progresses to exploring and applying the concept of the triangle and interlocking triangles to self, family, and other contexts. This book is devoted to explicating Bowen’s seminal concept of the triangle, and providing a clear description of the process of detriangling in clinical practice. The text includes several case studies and vignettes to illustrate concepts. Topics in Triangles: Bowen Family Systems Theory Perspectives include: a historical and conceptual overview the triangle’s function in the effort to increase differentiation of self the presence of triangles in non-human primates Bowen’s differentiation of self effort in his own family and business the functioning of triangles at the time of chronic illness and death emotional triangles involving pets and humans the application of the concept of triangles and interlocking triangles to clinical issues in marriage the presence of triangles in the child-focused family triangles in stepfamilies the triangle’s presence and function in families with substance abusing teens triangles involving extramarital relationships triangles in organizations and businesses the triangle’s function in the context in societal emotional process and much more! Triangles: Bowen Family Systems Theory Perspectives is a stimulating, enlightening resource for family therapists, social workers, psychologists, pastoral counselors, and counselors.

The Glorious Golden Ratio

The Glorious Golden Ratio

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2011-12-20

Total Pages: 301

ISBN-13: 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.


Book Synopsis The Glorious Golden Ratio by : Alfred S. Posamentier

Download or read book The Glorious Golden Ratio written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2011-12-20 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Magnificent Mistakes in Mathematics

Magnificent Mistakes in Mathematics

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2013-08-13

Total Pages: 298

ISBN-13: 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.


Book Synopsis Magnificent Mistakes in Mathematics by : Alfred S. Posamentier

Download or read book Magnificent Mistakes in Mathematics written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2013-08-13 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Triangles

Triangles

Author: Ellen Hopkins

Publisher: Simon and Schuster

Published: 2012-06-26

Total Pages: 520

ISBN-13: 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.


Book Synopsis Triangles by : Ellen Hopkins

Download or read book Triangles written by Ellen Hopkins and published by Simon and Schuster. This book was released on 2012-06-26 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three female friends face midlife crises in a no-holds-barred exploration of sex, marriage, and the fragility of life.

The Triangle

The Triangle

Author: Mike Bara

Publisher: SCB Distributors

Published: 2019-05-28

Total Pages: 244

ISBN-13: 1948803178

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Mike Bara, author of Ancient Aliens on the Moon, takes a hard look at the Bermuda Triangle. For decades, no single place has intrigued the world more than the baffling mystery of the Bermuda Triangle. Hundreds of ships, planes and yachts have disappeared in the dark, mysterious waters between Bermuda and Florida, far more than in any other part of the world. Ships have vanished without a trace only to magically reappear years later in good order but minus their crews, almost as if the intervening years had not even passed–for them. Yachts and ocean liners have gone missing in good weather with no explanation. Pilots have reported bizarre problems with their instruments as compasses and guidance systems have spun inexplicably out of control over the shadowy waters of the Triangle. Entire squadrons of military aircraft have disappeared off of radarscopes in clear weather and with no forewarning. Others have experienced strange magnetic anomalies and otherworldly encounters with mysterious craft and unrecognizable energetic fields. Explanations range from alien encounters to rogue waves to twisting unnatural funnel spouts caused by submerged civilizations left over from the days of Atlantis. New York Times bestselling author Mike Bara investigates these and other mysteries of the Bermuda Triangle in his new book The Triangle. Find out what really happened to Flight 19, the Navy training flight that last reported “they look like they’re from outer space” over the Triangle. Examine the undersea ruins of a lost civilization just off the island of Bimini and the strange stone road that leads directly into the deep waters of the Triangle. Examine the case of the Cotopaxi, the ore ship lost at sea only to reappear decades later off the coast of Cuba, far beyond where it was last sighted in the Triangle’s maritime shipping lanes. These and other enigmatic cases will be stripped open and laid bare before the light of history as the reader is carried on a journey to the world’s most frightening and impenetrable mystery–The Bermuda Triangle.


Book Synopsis The Triangle by : Mike Bara

Download or read book The Triangle written by Mike Bara and published by SCB Distributors. This book was released on 2019-05-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mike Bara, author of Ancient Aliens on the Moon, takes a hard look at the Bermuda Triangle. For decades, no single place has intrigued the world more than the baffling mystery of the Bermuda Triangle. Hundreds of ships, planes and yachts have disappeared in the dark, mysterious waters between Bermuda and Florida, far more than in any other part of the world. Ships have vanished without a trace only to magically reappear years later in good order but minus their crews, almost as if the intervening years had not even passed–for them. Yachts and ocean liners have gone missing in good weather with no explanation. Pilots have reported bizarre problems with their instruments as compasses and guidance systems have spun inexplicably out of control over the shadowy waters of the Triangle. Entire squadrons of military aircraft have disappeared off of radarscopes in clear weather and with no forewarning. Others have experienced strange magnetic anomalies and otherworldly encounters with mysterious craft and unrecognizable energetic fields. Explanations range from alien encounters to rogue waves to twisting unnatural funnel spouts caused by submerged civilizations left over from the days of Atlantis. New York Times bestselling author Mike Bara investigates these and other mysteries of the Bermuda Triangle in his new book The Triangle. Find out what really happened to Flight 19, the Navy training flight that last reported “they look like they’re from outer space” over the Triangle. Examine the undersea ruins of a lost civilization just off the island of Bimini and the strange stone road that leads directly into the deep waters of the Triangle. Examine the case of the Cotopaxi, the ore ship lost at sea only to reappear decades later off the coast of Cuba, far beyond where it was last sighted in the Triangle’s maritime shipping lanes. These and other enigmatic cases will be stripped open and laid bare before the light of history as the reader is carried on a journey to the world’s most frightening and impenetrable mystery–The Bermuda Triangle.

You Are a Mathematician

You Are a Mathematician

Author: David Wells

Publisher:

Published: 1997-02-18

Total Pages: 440

ISBN-13:

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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.


Book Synopsis You Are a Mathematician by : David Wells

Download or read book You Are a Mathematician written by David Wells and published by . This book was released on 1997-02-18 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Think Like A Maths Genius

Think Like A Maths Genius

Author: Michael Shermer

Publisher: Souvenir Press

Published: 2011-09-01

Total Pages: 303

ISBN-13: 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.


Book Synopsis Think Like A Maths Genius by : Michael Shermer

Download or read book Think Like A Maths Genius written by Michael Shermer and published by Souvenir Press. This book was released on 2011-09-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.