Incidence and Metric Geometry

Observar e Pensar antes de Modelar.

“…E as hipérboles? Deixamos essas investigações e outras aqui não explicitadas para o leitor curioso recomendando aos mais impacientes a leitura de [99].…”

“…Não é verdade. Uma passada de olhos em [99] revela uma série de aplicações significativas em problemas de geografia urbana tais como planejamento de cidades, rotas de metrô, etc.…”

Division Point in the Poincaré Upper Half Plane

“…The geometry of the half plane H is a non-Euclidean, since it fails to satisfy the parallel postulate but satisfies all the remaining twelve axioms of 186 N. Sônmez the Euclidean plane geometry [2,3,4,5]. In this half plane geometry, the lines and the function of distance are different, therefore, it seems interesting to study the Poincaré analogues of the topics that include the concept of distance in the Euclidean geometry.…”

“…In this half plane geometry, the lines and the function of distance are different, therefore, it seems interesting to study the Poincaré analogues of the topics that include the concept of distance in the Euclidean geometry. A few of such topics have been studied by some authors [1,[3][4][5][6][7][8]. In this work, it is shown that the coordinates of the division point can be determined by the formula in the Poincaré upper half plane.…”