absolute geometry

Meaning

Noun

• The single (up to logical equivalence) geometry whose axiomatic system is equivalent to that of Euclidean geometry without the parallel postulate or any alternative.
• Any geometry whose axiomatic system extends that of absolute geometry (in the singular sense) and neither assumes nor contradicts the parallel postulate.

Related

Similar words

• neutral geometry

Origin

• From 1832; introduced by Hungarian mathematician János Bolyai (1802—1860).