inscribed sphere

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• Inscribed sphere — In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron s faces. It is the largest sphere that is contained wholly within the polyhedron, and… …   Wikipedia

• Inscribed — Inscribe In*scribe , v. t. [imp. & p. p. {Inscribed}; p. pr. & vb. n. {Inscribing}.] [L. inscribere. See 1st {In }, and {Scribe}.] 1. To write or engrave; to mark down as something to be read; to imprint. [1913 Webster] Inscribe a verse on this… …   The Collaborative International Dictionary of English

• Circumscribed sphere — In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron s vertices. The word circumsphere is sometimes used to mean the same thing. When it exists, a circumscribed sphere… …   Wikipedia

• On the Sphere and Cylinder — is a work that was published by Archimedes in two volumes c. 225 BC.[1] It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was the first to do so.[2]… …   Wikipedia

• Zhang Heng — For other uses, see Zhang Heng (disambiguation). This is a Chinese name; the family name is Zhang. Zhang Heng (張衡) Born …   Wikipedia

• Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

• Midsphere — A polyhedron and its midsphere. The red circles are the boundaries of spherical caps within which the surface of the sphere can be seen from each vertex. In geometry, the midsphere or intersphere of a polyhedron is a sphere which is tangent to… …   Wikipedia

• Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia

• Icosahedron — In geometry, an icosahedron (Greek: eikosaedron , from eikosi twenty + hedron seat; IPA|/ˌaɪ.kəʊ.sə.ˈhi.dɹən/; plural: drons, dra IPA|/ dɹə/) isany polyhedron having 20 faces, but usually a regular icosahedron is implied, which has equilateral… …   Wikipedia

• Solide de Platon — En géométrie euclidienne, un solide de Platon est un polyèdre régulier et convexe. Entre les polygones réguliers et convexes de la géométrie plane, et les polyèdres réguliers convexes de l’espace à trois dimensions, il y a une analogie, mais… …   Wikipédia en Français

• Cube — This article is about the geometric shape. For other uses, see Cube (disambiguation). Regular Hexahedron (Click here for rotating model) Type Platonic solid Elements F = 6, E = 12 V = 8 (χ = 2) …   Wikipedia