absolute geometry
absolute geometry · absolute geometries
абсолютная геометрия
The single geometry whose axiomatic system is equivalent to that of Euclidean 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.
Meaning
2 sensesThe single (up to logical equivalence) geometry whose axiomatic system is equivalent to that of Euclidean geometry without the parallel postulate or any alternative.
абсолю́тная геоме́трияabsoljútnaja geométrija
Any geometry whose axiomatic system extends that of absolute geometry (in the singular sense) and neither assumes nor contradicts the parallel postulate.
Translations
2 languagesРусский
By meaning 1
Euclidean geometry without the parallel postulate:
Origin
From 1832; introduced by Hungarian mathematician János Bolyai (1802—1860).From 1832; introduced by Hungarian mathematician János Bolyai (1802—1860).
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Forms
plural: absolute geometries| Singular | absolute geometry |
|---|---|
| Plural | absolute geometries |
regular
Synonyms
1 synonymsEuclidean geometry without the parallel postulate