Remarks on A. Hirsch's Paper concerning Villarceau Sections
Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 133-14
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
@article{JGG_2002_6_2_a2,
author = {H. Stachel},
title = {Remarks on {A.} {Hirsch's} {Paper} concerning {Villarceau} {Sections}},
journal = {Journal for geometry and graphics},
pages = {133--14},
year = {2002},
volume = {6},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a2/}
}
H. Stachel. Remarks on A. Hirsch's Paper concerning Villarceau Sections. Journal for geometry and graphics, Tome 6 (2002) no. 2, pp. 133-14. http://geodesic.mathdoc.fr/item/JGG_2002_6_2_a2/