Sphere
object · 1 work · 4 mentions · 8 anchored passages
sphere · sphere ABC · sphere DEF · greater sphere · lesser sphere · sphere GHK · spheres · the given sphere · the sphere ABC · the sphere DEF
in the texts
Elements
A solid figure bounded by a surface every point of which is equidistant from a center; the subject of the culminating propositions on inscribing polyhedra and on the ratio of spheres.
Given two spheres about the same centre, to inscribe in the greater sphere a polyhedral solid which does not touch the lesser sphere at its surface.
Therefore, given two spheres about the same centre, a polyhedral solid has been inscribed in the greater sphere which does not touch the lesser sphere at its surface.
thus it is required to inscribe in the greater sphere a polyhedral solid which does not touch the lesser sphere at its surface.