absolute geometry
nounEtymology
From 1832; introduced by Hungarian mathematician János Bolyai (1802—1860).
Definitions
The single (up to logical equivalence) geometry whose axiomatic system is equivalent to…
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…
Any geometry whose axiomatic system extends that of absolute geometry (in the singular sense) and neither assumes nor contradicts the parallel postulate.
The neighborhood
- synonymEuclidean geometry without the parallel postulate
- neighborparallel postulate
- neighbortriangle postulate
Vish — recursive loop
No curated loop yet for absolute geometry. Loops are being traced one word at a time while the ingestion pipeline matures.
sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA