Noun:

సమాంతర సిద్ధాంతం,

parallel axiom's Usage Examples:

Playfair (1836) Elements of Geometry from Google books, see page 22 for parallel axiom.

axiom has become so popular that it is often referred to as Euclid"s parallel axiom, even though it was not Euclid"s version of the axiom.

Bolyai, Lobachevsky, and Riemann, that the impossibility of deducing the parallel axiom from the others was demonstrated.

1 (non-Archimedean geometries), all except the parallel axiom IV.

Bolyai"s main interests were the foundations of geometry and the parallel axiom.

Euclidean geometry, other systems, such as Hilbert"s axioms without the parallel axiom, are used.

Khayyam also contributed to the understanding of the parallel axiom.

structures introduced the field of non-Euclidean geometry where Euclid"s parallel axiom is denied.

non-Euclidean geometry and who in 1825 published a brief book on the parallel axiom, appear in: Paul Stäckel and Friedrich Engel, Die theorie der Parallellinien.

lines, they meet at a unique point (normally, this would contradict the parallel axiom of hyperbolic geometry, since there can be many different lines parallel.

Synonyms:

Euclid's fifth axiom, Euclid's axiom, Euclid's postulate, Euclidean axiom,

Antonyms:

oblique, asymmetrical, incomparable, perpendicular, differ,