Remarks on A. Hirsch's Paper concerning Villarceau Sections
Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 133-14
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When a surface of revolution with a conic as meridian is intersected with a bitangential plane, then the curve of intersection splits into two congruent conics. Conversely a necessary and sufficient condition is presented such that the rotation of a conic about a non-coplanar axis gives a surface with conics as meridians. Both results are proved by direct computation. Keywords: Villarceau section. Classification: 51N05; 51N35.