Last Updated
：2025/11/29
parallel postulate
Noun
(geometry)
An
axiom
of
Euclidean
geometry
equivalent
to
the
statement
that,
given
a
straight
line
L
and
a
point
P
not
on
the
line,
there
exists
exactly
one
straight
line
parallel
to
L
that
passes
through
P;
a
variant
of
this
axiom,
such
that
the
number
of
lines
parallel
to
L
that
pass
through
P
may
be
zero
or
more
than
one.
Japanese Meaning
（幾何学）ユークリッド幾何学における公理。すなわち、ある直線 L と L 上にない点 P が与えられた場合、点 P を通り L に平行な直線はただ一つ存在する、あるいは、その変形として平行な直線の本数が0本または1本以上存在することを示す公理。
Sense（1）
(geometry)
An
axiom
of
Euclidean
geometry
equivalent
to
the
statement
that,
given
a
straight
line
L
and
a
point
P
not
on
the
line,
there
exists
exactly
one
straight
line
parallel
to
L
that
passes
through
P;
a
variant
of
this
axiom,
such
that
the
number
of
lines
parallel
to
L
that
pass
through
P
may
be
zero
or
more
than
one.
（ plural ）
Quizzes for review
(geometry) An axiom of Euclidean geometry equivalent to the statement that, given a straight line L and a point P not on the line, there exists exactly one straight line parallel to L that passes through P; a variant of this axiom, such that the number of lines parallel to L that pass through P may be zero or more than one.
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See correct answer
parallel postulate
In his lecture, the professor invoked the parallel postulate to show that there can be only one line through a given point that is parallel to a given line.
See correct answer
In his lecture, the professor invoked the parallel postulate to show that there can be only one line through a given point that is parallel to a given line.
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