Let
be an
-gon which is supposed to have a constant surface-density in all of its points,
the centre of mass
of the polygon and
the origin. Then the position vector
of
with respect to
is
![]() |
(1) |
In the special case of the triangle
we have
![]() |
(2) |
Remark. An analogical result with (2) concerns also the homogeneous tetrahedron
,
and any
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