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parallel axiom::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | euclid's fifth axiom |
| Type of | euclid's axiom, euclid's postulate, euclidean axiom |
Examples of parallel axiom
parallel axiom
Pythagoras'Theorem is necessarily true, provided only that we assume Euclidean axioms, such as the axiom that parallel straight lines never meet.
From the scienceblogs.com
Change Euclid's fifth axiom and what you once thought were parallel lines now actually intersect.
From the evangelicaloutpost.com
It is sometimes referred to as neutral geometry as its axiom system is neutral to the parallel postulate.
From the en.wikipedia.org
In order to obtain a consistent set of axioms which includes this axiom about having no parallel lines, some of the other axioms must be tweaked.
From the en.wikipedia.org
However, I grew away from that idea to the question of just what axiom equivalent to the parallel postulate was used in Staring's proof to obtain Pythagoras.
From the en.wikipedia.org
In all approaches, however, there is an axiom which is logically equivalent to Euclid's fifth postulate, the parallel postulate.
From the en.wikipedia.org
In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry.
From the en.wikipedia.org
