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Strahlensysteme mit gemeinsamem sphärischen Bild

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Abstract

In this paper we investigate a class Σ* of congruences which have common spherical image and which are mainly derived by suitable linear transformations from a given congruence S. A necessary and sufficient condition is given so that a congruence S* of Σ* has a common middle envelope with S. Further we investigate the correspondence between special ruled surfaces of a congruence S* and special curves on the middle envelope of the congruence S.

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Authors and Affiliations

  1. Fachbereich Mathematik Technische Hochschule, 61 Darmstadt

    Georg Stamou

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  1. Georg Stamou
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Stamou, G. Strahlensysteme mit gemeinsamem sphärischen Bild. Manuscripta Math 15, 329–340 (1975). https://doi.org/10.1007/BF01486603

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  • DOI: https://doi.org/10.1007/BF01486603

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