Abstract
In Moufang planes, the theorem of Pappos is shown to be equivalent with a configuration theorem stating a sort of transitivity for the Cevian property (concurrence of transversals through the vertices of a triangle).
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References
Coxeter, H. S. M.: The Pappus configuration and the self-inscribed octagon I. Proc. Konink. Nederl. Akad. Wetensch., ser. A 80(4) (1977), S. 256-269.
Pickert, G.: Der Satz vom vollständigen Viereck bei kollinearen Diagonalpunkten, Math. Zeitschrift 56 (1952), 131-133.
Pickert, G.: Projektive Ebenen, Springer, Berlin, 1975.
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Pickert, G. Ceva-Transitivität. Geometriae Dedicata 74, 73–78 (1999). https://doi.org/10.1023/A:1005059921786
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DOI: https://doi.org/10.1023/A:1005059921786