TY - JOUR UR - http://doi.org/10.1007/s00022-019-0495-x SN - 0047-2468 A1 - Kurusa Árpád N2 - We prove that Ceva?s and Menelaus? theorems are valid in a projective-metric space if and only if the space is any of the elliptic geometry, the hyperbolic geometry, or the Minkowski geometries. © 2019, The Author(s). N1 - Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, Budapest, 1053, Hungary Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Szeged, 6725, Hungary Export Date: 18 October 2019 Correspondence Address: Kurusa, Á.; Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Hungary; email: kurusa@math.u-szeged.hu Funding details: 20391-3/2018/FEKUSTRAT Funding details: 4322 Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFI, K 116451, KH_18 129630 Funding text 1: This research was supported by NFSR of Hungary (NKFIH) under Grant numbers K 116451 and KH_18 129630, and by the Ministry of Human Capacities of Hungary grant 20391-3/2018/FEKUSTRAT. Open access funding provided by University of Szeged Open Access Fund under grant number 4322. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. TI - Ceva?s and Menelaus? theorems in projective-metric spaces SP - Azonosító: 39 ID - publicatio18708 EP - Terjedelem: 12 p JF - JOURNAL OF GEOMETRY AV - public IS - 2 Y1 - 2019/// VL - 110 ER -