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Hyperoskulierende logarithmische Spiralen in affinen CK-Ebenen

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Abstract

At a pointk 0 aC 4-curve k of an affine Cayley-Klein-plane (CK-plane) has a unique hyperosculating logarthmic spiral. We give a construction of the pole p of this spiral, which consists of an affine and a metric part. This metric part is a similar one in the three CK — planes. It is shown that this result is connected with results dealing with the center of the osculating circle given by R.Bereis in [2,p.248].

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Authors and Affiliations

  1. Institut für Geometrie, TU - Graz Kopernikusgasse 24, A-8010, Graz

    Otto Röschel

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  1. Otto Röschel
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Herrn Prof.Dr.K.STRUBECKER zum 85.Geburtstag gewidmet

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Röschel, O. Hyperoskulierende logarithmische Spiralen in affinen CK-Ebenen. J Geom 38, 165–170 (1990). https://doi.org/10.1007/BF01222901

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  • DOI: https://doi.org/10.1007/BF01222901

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