Arcs in the Hall planes (Q1911990)

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scientific article; zbMATH DE number 872708
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Arcs in the Hall planes
scientific article; zbMATH DE number 872708

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    Arcs in the Hall planes (English)
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    28 October 1996
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    \textit{P. Quattrochi} and \textit{L. A. Rosati} have generalized the reviewer's construction known as derivation or, more generally, replaceable nets [Geom. Dedicata 71, No. 2, 233-240 (1992; Zbl 0773.51007)]. The author shows that if the transformation from one plane to another preserves the set of points in an arc, this set is an arc in the transformed plane. Starting with arcs in a Desarguesian plane, she gets arcs in the Hall plane and its dual.
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    arcs
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    Hall plane
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