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.

• The perfect resource for quilters of every level to turn fat quarter bundles (a pre-assorted collection of coordinating fabric scraps) into gorgeous quilts • Contains 12 beautiful step-by-step projects and patterns all using convenient, color-coordinated bundles of fabric • Includes insightful details on how to choose fabrics and colors to use in your quilt projects, as well as essential quilting techniques • Stephanie Soebbing, author of the best-selling Super Simple Quilts for the Modern Home, is the owner of Quilt Addicts Anonymous and the Fat Quarter Shop where she provides a fat quarter subscription service for quilters

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 study of the arithmetical properties of triangles dates back to ancient Greece, and possibly beyond. This classic text, written by a distinguished mathematician and teacher, focuses on a fundamental cornerstone of elementary geometry, the theorem of Pythagoras, and its applications. Unabridged republication of the edition published by the Graduate School of Science, Yeshiva University, New York, 1962. Translated by Dr. Ambikeshwar Sharma.

Fascinating patient stories and dynamic exercises help you connect to healing emotions, ease anxiety and depression, and discover your authentic self. Sara suffered a debilitating fear of asserting herself. Spencer experienced crippling social anxiety. Bonnie was shut down, disconnected from her feelings. These patients all came to psychotherapist Hilary Jacobs Hendel seeking treatment for depression, but in fact none of them were chemically depressed. Rather, Jacobs Hendel found that they’d all experienced traumas in their youth that caused them to put up emotional defenses that masqueraded as symptoms of depression. Jacobs Hendel led these patients and others toward lives newly capable of joy and fulfillment through an empathic and effective therapeutic approach that draws on the latest science about the healing power of our emotions. Whereas conventional therapy encourages patients to talk through past events that may trigger anxiety and depression, accelerated experiential dynamic psychotherapy (AEDP), the method practiced by Jacobs Hendel and pioneered by Diana Fosha, PhD, teaches us to identify the defenses and inhibitory emotions (shame, guilt, and anxiety) that block core emotions (anger, sadness, fear, disgust, joy, excitement, and sexual excitement). Fully experiencing core emotions allows us to enter an openhearted state where we are calm, curious, connected, compassionate, confident, courageous, and clear. In It’s Not Always Depression, Jacobs Hendel shares a unique and pragmatic tool called the Change Triangle—a guide to carry you from a place of disconnection back to your true self. In these pages, she teaches lay readers and helping professionals alike • why all emotions—even the most painful—have value. • how to identify emotions and the defenses we put up against them. • how to get to the root of anxiety—the most common mental illness of our time. • how to have compassion for the child you were and the adult you are. Jacobs Hendel provides navigational tools, body and thought exercises, candid personal anecdotes, and profound insights gleaned from her patients’ remarkable breakthroughs. She shows us how to work the Change Triangle in our everyday lives and chart a deeply personal, powerful, and hopeful course to psychological well-being and emotional engagement.