The circle space of a spherical circle plane
We show that the circle space of a spherical circle plane is a punctured projective 3-space. The main ingredient is a partial solution of the problem of Apollonius on common touching circles. Key words and phrases : Mobius plane, spherical circle plane.
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| Veröffentlicht in: | Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2014-04, Vol.21 (2), p.351-364 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that the circle space of a spherical circle plane is a punctured projective 3-space. The main ingredient is a partial solution of the problem of Apollonius on common touching circles. Key words and phrases : Mobius plane, spherical circle plane. |
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| ISSN: | 1370-1444 2034-1970 |
| DOI: | 10.36045/bbms/1400592630 |