%0 Journal Article
%@ 0047-2468
%A  Kurusa Árpád
%A Bolyai Intézet (Matematikai Intézet) SZTE / TTIK MI [2016-],
%D 2019
%F publicatio:18708
%J JOURNAL OF GEOMETRY
%N 2
%P Azonosító: 39-Terjedelem: 12 p
%T Ceva’s and Menelaus’ theorems in projective-metric spaces
%U http://publicatio.bibl.u-szeged.hu/18708/
%V 110
%X 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).
%Z 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.