Do Diagonals of a Parallelogram Intersect?
Matematičeskoe obrazovanie, Tome 33 (2005) no. 2, pp. 54-61.

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In some projective or affine geometries with a finite numbers of points one can observe some facts, unusual from the viewpoint of the Euclidian plane geometry.
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S. Bogdanov; S. V. Dvoryaninov; S. Krauter. Do Diagonals of a Parallelogram Intersect?. Matematičeskoe obrazovanie, Tome 33 (2005) no. 2, pp. 54-61. http://geodesic.mathdoc.fr/item/MO_2005_33_2_a2/