Circles, Spheres and Spherical Geometry

- Inversion and stereographic projection.- Bend formulas.- Graphs and circle-systems.- Spherical geometry I.- Spherical geometry II.- The problem of thirteen balls.- Spherical geometry III.- Geometric probability on the sphere.- Intersection graphs of spherical caps.- Quartets on a sphere.- Higher dimensions.- The Cayley-Menger determinant.- Casey's theorem.- Solutions to the selected exercises.

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• Teoria combinatória e dos grafos
• A matemática discreta
• Geometria

Spherical Geometry;Geodesic Segments;Spherical Polygon;Geometry of Circles and Spheres;Great Circle;Stereographic Projection;Bend Formulas;Planar Graph