Meet Triangle. He is going to play a sneaky trick on his friend, Square. Or so Triangle thinks. . . . With this first tale in a trilogy, partners in crime Mac Barnett and Jon Klassen will have readers wondering just who they can trust in a richly imagined world of shapes. Visually stunning and full of wry humor, here is a perfectly paced treat that could come only from the minds of two of today’s most irreverent — and talented — picture book creators.

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.

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

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.

An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.