Corpus ID: 6797853

The Manifold of Planes that Intersect Four Straight Lines in Points of a Circle

@inproceedings{Schrcker2004TheMO,
  title={The Manifold of Planes that Intersect Four Straight Lines in Points of a Circle},
  author={H. Schr{\"o}cker},
  year={2004}
}
In this text, we study the set L of planes in three-dimensional euclidean space E3 that intersect four straight lines in points of a circle. The manifold of solution planes L is, in general, of dimension two. Furthermore, there are numerous ways of seeing that it is algebraic. We will give two independent proofs for that. Both also yield the class of L (it is seven). Our investigations heavily rely on a concept already used in Schröcker (2004) for studying the intersection conics of six… Expand
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Conic sections in space defined by intersection conditions.
We investigate and visualize the set of planes in complex projective three-space P 3 that intersect m conics Ci and n = 6 2m straight lines Lj in a total of six points of a conic. The solutionExpand

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