TY - JOUR
AU - Berestovskii, V. N.
AB - Using Beltrami–Poincaré models in the Euclidean semiplane andsemispace for two-dimensional and three-dimensional Lobachevsky spaces,we give a simple deduction of some equations and inequalities byLobachevsky from his first published work “On the foundations of geometry.”Lobachevsky had applied the equations and inequalities together withthe stellar parallaxes then available to him to the questionwhether his “theory of parallels holds or fails in nature.”We also list some applications of Lobachevsky geometry.
TI - Lobachevsky Geometry and Stellar Parallaxes
JF - Siberian Mathematical Journal
DO - 10.1134/s0037446622050032
DA - 2022-09-01
UR - https://www.deepdyve.com/lp/springer-journals/lobachevsky-geometry-and-stellar-parallaxes-UrM1mH8jef
SP - 834
EP - 848
VL - 63
IS - 5
DP - DeepDyve
ER -