NationMaster - Encyclopedia: Inscribed sphere

Archimedes on Spheres and Cylinders (0 words)
	Specifically, he discovered and proved that the surface area of a region of a sphere sliced off by a plane equals the area of a circle whose radius is the straight-line distance from the central point of that region to the perimeter.
	Archimedes' theorem is that the surface area of the region of the sphere below the horizontal plane H is equal to the area of a circle of radius t.
	The incremental surface area of the cylinder slice between the planes A and B is 2pi r dy, and the surface area of the sphere between those planes is 2pi x dc.

inscribed - definition by dict.die.net (202 words)
	Note: A line is inscribed in a circle, or in a sphere, when its two ends are in the circumference of the circle, or in the surface of the sphere.
	A triangle is inscribed in another triangle, when the three angles of the former are severally on the three sides of the latter.
	A sphere is inscribed in a polyhedron, when the sphere touches each boundary plane of the polyhedron.

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