Geodesic
The Manifold of Planes that Intersect Four Straight Lines in Points of a Circle
Journal for geometry and graphics, Tome 8 (2004) no. 1, pp. 59-68 Cet article a éte moissonné depuis la source Heldermann Verlag

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Our topic is the manifold of planes that intersect four straight lines in three-dimensional euclidean space in points of a circle. The solution manifold is of class seven and contains 24 single lines, four double lines, a triple plane and four dual conics. We compute the solution manifold's equation, visualize it and discuss the special case of the four base lines being contained in a regulus.
Classification : 14N99, 51M04
Mots-clés : Circle in space, conic section in space 
@article{JGG_2004_8_1_JGG_2004_8_1_a5,
     author = {H.-P. Schroecker },
     title = {The {Manifold} of {Planes} that {Intersect} {Four} {Straight} {Lines} in {Points} of a {Circle}},
     journal = {Journal for geometry and graphics},
     pages = {59--68},
     year = {2004},
     volume = {8},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2004_8_1_JGG_2004_8_1_a5/}
}
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H.-P. Schroecker . The Manifold of Planes that Intersect Four Straight Lines in Points of a Circle. Journal for geometry and graphics, Tome 8 (2004) no. 1, pp. 59-68. http://geodesic.mathdoc.fr/item/JGG_2004_8_1_JGG_2004_8_1_a5/