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Additional
osculating plane
English Wikipedia - The Free Encyclopedia
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Osculating plane
In
mathematics
, particularly in
differential geometry
, an
osculating plane
is a
plane
in a
Euclidean space
or
affine space
which meets a
submanifold
at a point in such a way as to have a second order of
contact
at the point. The word
osculate
is from the
Latin
osculatus
which is a
past participle
of
osculari
, meaning
to kiss
. An osculating plane is thus a plane which "kisses" a submanifold.
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