Geodesic
Particular cases of first-kind quasi-parallelograms of the Lobachevsky plane
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 66-73

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In this paper, we consider particular cases of quasi-parallelograms, which are obtained by transferring to the Lobachevsky plane various characteristic properties of rhombuses, rectangles, and squares of the Euclidean plane related with their diagonals. The existence of these quadrangles is proved by using the Cayley–Klein model in the circle of the Euclidean plane.
Keywords: Lobachevsky plane, Cayley–Klein model, quasi-parallelogram
Mots-clés : quasi-rhombus. 
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     title = {Particular cases of first-kind quasi-parallelograms of the {Lobachevsky} plane},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {181},
     year = {2020},
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M. S. Maskina; T. A. Zhilnikov. Particular cases of first-kind quasi-parallelograms of the Lobachevsky plane. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 66-73. http://geodesic.mathdoc.fr/item/INTO_2020_181_a8/