Assertion: ellipsoid's surface | /r/HasProperty | sphere
Facets:
Source sentences:
text: then the surface is a sphere, and the intersection with any plane passing through it is a circle.
text: A surface, all of whose cross sections are elliptic or circular (including the sphere), that generalises the ellipse and in Cartesian coordinates (x, y, z) is a quadric with equation x2/a2 + y2/b2 + z2/c2 = 0.
text: : then the surface is a sphere and the intersection with any plane passing through it is a circle.