Elliptic geometry and Non-Euclidean geometry

Elliptic geometry noun - (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle.

Non-Euclidean geometry and elliptic geometry are semantically related. In some cases you can use "Non-Euclidean geometry" instead a noun phrase "Elliptic geometry".

Non-Euclidean geometry noun - (mathematics) geometry based on axioms different from Euclid's.

Elliptic geometry and non-Euclidean geometry are semantically related. Sometimes you can replace phrase "Elliptic geometry" with "Non-Euclidean geometry", this phrases are similar.