Ideas of Combinatorial Geometry
In this section we discuss (without proof) some properties of convex figures in the plane. A figure M is called convex if, together with every two points a, b, it contains the whole segment [a, b], (Figure 13.1). Triangles, parallelograms, and trapezoids are convex (Figure 13.2). Disks, sectors with a central angle not exceeding 180°, and segments of disks are also convex (Figure 13.3); so is any segment and any single point. Some nonconvex figures are shown in Figure 13.4.
KeywordsConvex Hull Boundary Point Convex Body Compact Convex Convex Polygon
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