1. Eine Verallgemeinerung des Satzes von Holditch
- Author
-
Josef Hoschek
- Subjects
Pure mathematics ,Plane (geometry) ,Euclidean space ,General Mathematics ,Mathematics::History and Overview ,Line (geometry) ,Mathematical analysis ,Mathematics::Metric Geometry ,Physics::Classical Physics ,Chinese remainder theorem ,Mathematics - Abstract
The Holditch Theorems for the euclidian plane and the euclidian sphere are generalized for the euclidian space. If we move a hyperbolic linear congruence of linesN along a closed ruled surfaceX, each line ofN generates a closed ruled surfaceY. Some global invariants ofY are linear functions of some global invariants ofX.
- Published
- 1975
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