Document Zbl 1081.51501

The manifold of planes that intersect four straight lines in points of a circle. (English) Zbl 1081.51501

J. Geom. Graph. 8, No. 1, 59-68 (2004).

Summary: 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 equation of the solution manifold, visualize it and discuss the special case of the four base lines being contained in a regulus.

Cited in 1 Review

MSC:

51M05	Euclidean geometries (general) and generalizations
53A04	Curves in Euclidean and related spaces

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The manifold of planes that intersect four straight lines in points of a circle. (English) Zbl 1081.51501

MSC: