spheroconic

from The Century Dictionary.

• noun A non-plane curve, the intersection of a sphere with a quadric cone having its vertex at the center of the sphere.

from the GNU version of the Collaborative International Dictionary of English.

• noun (Geom.) A nonplane curve formed by the intersection of the surface of an oblique cone with the surface of a sphere whose center is at the vertex of the cone.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun geometry A non-plane curve formed by the intersection of the surface of an oblique cone with the surface of a sphere centred at the cone's vertex.