Poncelet's Theorem in the four nonisomorphic finite projective planes of order 9
- Working Paper
We study Poncelet's Theorem in the four nonisomorphic planes of order 9. We first prove that Poncelet's Closure Theorem holds for the coordinate plane over the Galois field with 9 elements. On the contrary, we will see that the other three nonisomorphic planes of order 9, which are constructed over the miniquaternion near-field of order 9, will fail to be Poncelet planes. This gives a complete discussion of Poncelet's Theorem in finite projective planes of order 9. In addition, we offer a proof of Poncelet's Theorem for triangles in all finite projective coordinate planes which is based upon Pascal's Theorem Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit03874 - Hungerbühler, Norbert
NotesSubmitted on 30 June 2014.
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