Last Updated:2026/01/01
Sentence
Recall
that
absolute
geometry
is
the
set
of
statements
that
can
be
deduced
from
Euclid's
first
four
postulates.
Then
existence
of
parallel
lines
is
certainly
a
theorem
of
absolute
geometry,
while
the
question
being
addressed
by
most
of
the
mathematicians
discussed
in
this
section
is
whether
uniqueness
of
parallels
is
also
a
theorem
of
absolute
geometry.
Quizzes for review
Recall that absolute geometry is the set of statements that can be deduced from Euclid's first four postulates. Then existence of parallel lines is certainly a theorem of absolute geometry, while the question being addressed by most of the mathematicians discussed in this section is whether uniqueness of parallels is also a theorem of absolute geometry.
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