# Polyhedra sentence example

polyhedra
• The following table gives these constants for the regular polyhedra; n denotes the number of sides to a face, n 1 the number of faces to a vertex: - Archimedean Solids.
• Mensuration of the Platonic Solids.-The mensuration of the regular polyhedra is readily investigated by the methods of elementary geometry, the property that these solids may be inscribed in and circumscribed to concentric spheres being especially useful.
• The module can be varied to produce a large number of related rhombic polyhedra and polyhedral combinations.
• Stevinus was the first to show how to model regular and semiregular polyhedra by delineating their frames in a plane.
• If we project both polyhedra orthogonally on a plane perpendicular to the axis of the paraboloid, we obtain two figures which are reciprocal, except that corresponding lines are orthogonal instead of parallel.
• " Regular polyhedra " are such as have their faces all equal regular polygons, and all their solid angles equal; the term is usually restricted to the five forms in which the centre is singly enclosed, viz.
• Another group of polyhedra are termed the " Archimedean solids," named after Archimedes, who, according to Pappus, invented them.
• " A The following Table gives the values of A, V, R, r for the five Polyhedra: - Kepler-Poinsot Polyhedra.
• A connexion between the number of faces, vertices and edges of regular polyhedra was discovered by Euler, and the result, which assumes the form E + 2' = F ± V, where E, F, V are the number of edges, faces and vertices, is known as Euler's theorem on polyhedra.
• The interrelations of the polyhedra enumerated above are considerably elucidated by the introduction of the following terms: (1) Correspondence.