Absolute
Geometry » geometry that doesn’t (assume the) Playfair (axiom)

Absolute Geometry
(wiki)

“Absolute geometry is a geometry that does not assume the
parallel postulate or any of its alternatives.”

Playfair's Axiom (MathWorld)

“*Through any point in space*, *there
is at most one straight line parallel to a given straight line*. This axiom
is equivalent to the parallel postulate.”