(n) (mathematics) geometry based on axioms different from Euclid's, Example:non-Euclidean geometries discard or replace one or more of the Euclidean axioms
n. Related to Euclid, or to the geometry of Euclid. [ 1913 Webster ]
Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space. [ 1913 Webster ]
[罗巴切夫斯基 / 羅巴切夫斯基, Luó bā qiè fū sī jīㄌㄨㄛˊ ㄅㄚ ㄑㄧㄝˋ ㄈㄨ ㄙ ㄐㄧ] Nikolai Ivanovich Lobachevsky (1793-1856), one of the discoverers of non-Euclidean geometry#355308