Euclidean geometry is the study of geometric shapes in two or three dimensions based on Euclid's axioms, while hyperbolic geometry is non-Euclidean and describes properties of shapes in a space curved inward like a saddle. Euclidean geometry deals with flat space, while hyperbolic geometry deals with curved space. 

The main differences between the two are in the curvature of space, where Euclidean geometry is flat and hyperbolic geometry is curved inward.
spam fails_task lang_mismatch pii not_appropriate hate_speech sexual_content quality toxicity humor helpfulness creativity violence