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Concept
Parallel Postulate
The
parallel postulate
is a
fundamental element
of
Euclidean geometry
, stating that through a point not on a
given line
, exactly one line can be drawn parallel to the
given line
. This postulate is crucial because
altering it
leads to the development of
non-Euclidean geometries
, such as hyperbolic and
elliptic geometry
, which have
significant implications
in
fields like physics
and cosmology.
Relevant Degrees
Geometry 70%
Fundamentals of Mathematics 30%
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