absolute geometry noun2 •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.A discussion of one-dimensional absolute geometries, with examples, will be given in a separate paper. — 1970 formsabsolute geometries
