最終更新日:2024/07/28
(geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.
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affine transformation
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元となった辞書の項目
affine transformation
noun
(geometry,
linear
algebra)
A
geometric
transformation
that
preserves
lines
and
parallelism,
but
in
general
not
lengths
or
angles;
(more
formally)
an
automorphism
of
an
affine
space:
a
mapping
of
an
affine
space
onto
itself
that
preserves
both
the
dimension
of
any
affine
subspace
and
the
ratio
of
the
lengths
of
any
pair
of
parallel
line
segments.
意味(1)
(geometry,
linear
algebra)
A
geometric
transformation
that
preserves
lines
and
parallelism,
but
in
general
not
lengths
or
angles;
(more
formally)
an
automorphism
of
an
affine
space:
a
mapping
of
an
affine
space
onto
itself
that
preserves
both
the
dimension
of
any
affine
subspace
and
the
ratio
of
the
lengths
of
any
pair
of
parallel
line
segments.