%T Ceva’s and Menelaus’ theorems in projective-metric spaces
%A  Kurusa Árpåd
%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).
%O AlfrĂŠd RĂŠnyi Institute of Mathematics, Hungarian Academy of Sciences, ReĂĄltanoda u. 13-15, Budapest, 1053, Hungary            
            Bolyai Institute, University of Szeged, Aradi vĂŠrtanĂşk tere 1, Szeged, 6725, Hungary            
            Export Date: 18 October 2019            
            Correspondence Address: Kurusa, Á.; Bolyai Institute, University of Szeged, Aradi vÊrtanúk tere 1, Hungary; email: kurusa@math.u-szeged.hu            
            Funding details: 20391-3/2018/FEKUSTRAT            
            Funding details: 4322            
            Funding details: Nemzeti KutatĂĄsi FejlesztĂŠsi ĂŠs InnovĂĄciĂłs 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.
%V 110
%I szte
%N 2
%R MTMT:30852537 10.1007/s00022-019-0495-x
%P AzonosĂ­tĂł: 39-Terjedelem: 12 p
%L publicatio18708
%D 2019
%J JOURNAL OF GEOMETRY