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What (who) is Insphere - definition
SPHERE CONTAINED WITHIN A POLYHEDRON, TANGENT TO EACH OF ITS FACES
Insphere
![[[Tetrahedron]] with insphere in red (also midsphere in green, circumsphere in blue)](https://commons.wikimedia.org/wiki/Special:FilePath/01 Tetraeder-Größen.png?width=200 "[[Tetrahedron]] with insphere in red (also midsphere in green, circumsphere in blue)")
![Kepler]] modelled of the [[Solar System]] with its then known six planets' orbits by nested [[platonic solid]]s, each circumscribed and inscribed by a sphere.](https://commons.wikimedia.org/wiki/Special:FilePath/Kepler-solar-system-1.png?width=200 "Kepler]] modelled of the [[Solar System]] with its then known six planets' orbits by nested [[platonic solid]]s, each circumscribed and inscribed by a sphere.")
Insphere
·vt To place in, or as in, an orb a sphere. ·cf. Ensphere.
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 is dual to the dual polyhedron's circumsphere.
Insphered
·Impf & ·p.p. of Insphere.
Wikipedia
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 is dual to the dual polyhedron's circumsphere.
The radius of the sphere inscribed in a polyhedron P is called the inradius of P.
