Corpus ID: 6797853

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

  title={The Manifold of Planes that Intersect Four Straight Lines in Points of a Circle},
  author={H. Schr{\"o}cker},
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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  • Mathematica Pannonica
  • 1995