Hyperoskulierende logarithmische Spiralen in affinen CK-Ebenen |
| |
| Authors: | Otto Röschel |
| |
| Affiliation: | (1) Institut für Geometrie, TU - Graz Kopernikusgasse 24, A-8010 Graz |
| |
| Abstract: | At a pointk0 aC4-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].
Herrn Prof.Dr.K.STRUBECKER zum 85.Geburtstag gewidmet |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
