noun
non-Euclidean geometry
Technical term in mathematics referring to geometries where Euclid's parallel postulate does not hold, such as hyperbolic or elliptic geometry.
非ユークリッド幾何学は、平行線公準を否定することで生まれた。
Non-Euclidean geometry arose from rejecting the parallel postulate.
Euclidean geometry, the traditional geometry based on Euclid's axioms, including the parallel postulate.
Compound of 非 (hi, 'non-') + ユークリッド (Yūkuriddo, 'Euclid') + 幾何学 (kikagaku, 'geometry').