Triangle

Virtually all significant relationships are shadowed by a third party-another person, a competing distraction, or even a memory. This groundbreaking book provides clinicians with a hands-on guide to working with many different kinds of relationship triangles in therapy with families, couples, and individuals. The authors show why triangles come into being, how to predict their evolving nature, and how they can be dealt with and resolved in treatment. A wealth of clinical case material and treatment suggestions illustrates how thinking in terms of threes, as well as individuals and dyads, can greatly increase therapeutic flexibility and effectiveness. The paperback edition includes a new series editor's note by Michael P. Nichols.

This second edition of Alexander Soifer’s How Does One Cut a Triangle? demonstrates how different areas of mathematics can be juxtaposed in the solution of a given problem. The author employs geometry, algebra, trigonometry, linear algebra, and rings to develop a miniature model of mathematical research.

Oil and gas reserves have depleted at an exponential rate, suffocating world economies. Military dominance has been replaced by The Triangle. Three powerful multinational consortiums, sharing a common mission: To stop anyone trying to gain an economic advantage, and disrupting the status quo. The capitalists’ will to survive is pitted against The Triangle’s Will to control, in this winner-takes-all battle to secure a new energy source to fuel the world’s insatiable appetite. Ben Crenshaw’s team on the Accipiter space station is racing against time, politics, and an international team returning from a seven year deep space mission. The two teams, separated from the rest of the world, have relied on each other and trusted each other ... a trust that is about to be broken. With tensions rising on the ground, a new transgressor emerges, one that is not afraid to use force.

Engage your mathematics students at the beginning of class with this whole-class warm-up activity. This product features a step-by-step lesson, assessment information, and a snapshot of what the warm-up looks like in the classroom.

Rozman shows how East Asia’s international relations over three decades can be best understood through the lens of triangles, analyzing relations between the key nations through a series of trilateral relationships. He argues that triangles present a convincing answer to the question of whether we had entered a new era of bipolarity like the Cold War or an age of multipolarity. Triangulation emerged as a dynamic in East Asia in the aftermath of the Cold War and was accelerated in the course of the Xi and Trump administrations. Even as Sino-US competition and confrontation deepened, triangles had a substantial presence. East Asian triangles share an unusual mixture of three distinct elements: deep-seated security distrust, extraordinary economic interdependence, and a combustible composition of historical resentments and civilizational confidence. The combination of the three makes the case for triangularity more compelling, Rozman argues. The legacy of communism, the pursuit of reunification on the Korean Peninsula, and moves to expand beyond the US-Japan alliance have all driven the way triangles have evolved. Only as bipolarity intensified in the 2020s was triangularity losing ground. The degree of turnabout is analyzed for all of the cases considered. Rozman evaluates each key triangle of states in turn and assesses how the relationship impacts the region more widely. This book provides an essential framework for understanding the current state and trajectory of East Asian international relations, for students and policymakers. The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license.