English Dictionary

imaginary geometry

名詞

不可算名詞

(geometry) Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes.

日本語の意味

平行公理が存在せず、代わりの公理も導入されていない公理体系に基づく幾何学、つまり絶対幾何学を指す。これはユークリッド幾何学や一部の非ユークリッド幾何学の基礎となる概念である。

In the seminar, the professor explained how imaginary geometry serves as a foundation for both Euclidean and some non-Euclidean systems by omitting the parallel postulate.

セミナーで教授は、平行公理を置かないことで、絶対幾何学がユークリッド幾何学といくつかの非ユークリッド幾何学の基礎を成すことを説明した。

意味（1）

(geometry) Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes.

He liked talking about imaginary geometry, as a matter of pure amusement, to anyone interested in it. But at the same time he attached a serious import to it.