Titlebook: Circles, Spheres and Spherical Geometry; Hiroshi Maehara,Horst Martini Textbook 2024 The Editor(s) (if applicable) and The Author(s), unde

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Intersection Graphs of Spherical Caps,or a family . of spherical caps on ., its intersection graph . is defined as the graph whose vertices are the centers . of the caps ., ., and two vertices . are adjacent if and only if .. We present a sufficient condition for the connectedness of ..

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The Cayley-Menger Determinant,In this chapter, the Cayley-Menger determinant for a finite semi-metric space is introduced. Using Cayley-Menger determinants, Soddy’s formula for mutually tangent spheres and Ptolemy’s classical theorem are generalized to . dimensions.

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Solutions to the Selected Exercises,Let . be the centers and . be the radii of the disjoint circles ., respectively.

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