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This chapter delves into fundamental concepts of geometry, including line segments, hyperplanes, and linear varieties. It explores the nature of convex sets, neighborhoods, and the structures of polytopes and polyhedra. By dissecting these concepts, readers will gain insights into their geometric properties and relationships. Understanding these ideas is crucial for further studies in geometry and related fields, providing a foundation for more advanced topics.
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Chapter 3Concepts from Geometry 3.1 Line Segments 3.2 Hyperplanes and Linear Varieties 3.3 Convex Sets 3.4 Neighborhoods 3.5 Poly topes and Polyhedra