Geodesic
The Projective Antecedent of the Three Reflection Theorem
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 265-274

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A complete answer is given to the question: Under what circumstances is the product of three harmonic homologies in PG(2, F) again a harmonic homology ? This is the natural question to ask in seeking a generalization to projective geometry of the Three Reflection Theorem of metric geometry. It is found that apart from two familiar special cases, and with one curious exception, the necessary and sufficient conditions on the harmonic homologies produce exactly the Three Reflection Theorem.
DOI : 10.4153/CMB-1991-043-3
Mots-clés : 51A30, 51F15, 51N15 
Sherk, F. A. The Projective Antecedent of the Three Reflection Theorem. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 265-274. doi: 10.4153/CMB-1991-043-3
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     title = {The {Projective} {Antecedent} of the {Three} {Reflection} {Theorem}},
     journal = {Canadian mathematical bulletin},
     pages = {265--274},
     year = {1991},
     volume = {34},
     number = {2},
     doi = {10.4153/CMB-1991-043-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-043-3/}
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