absolute geometry

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Noun

1. {{lb|en|geometry}} The single (up to logical equivalence) [[geometry]] whose [[axiomatic system]] is equivalent to that of [[Euclidean geometry]] without the [[parallel postulate]] or any alternative.
2. {{lb|en|geometry}} Any geometry whose axiomatic system extends that of absolute geometry (in the singular sense) and neither assumes nor contradicts the parallel postulate.

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