Absolute Geometry Definition

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.

Wiktionary
Any geometry whose axiomatic system extends that of absolute geometry (in the singular sense) and neither assumes nor contradicts the parallel postulate.
Wiktionary

Origin of Absolute Geometry

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

    From Wiktionary

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