On Mar 19, 11:15=A0am, Alexm <amcwill...@[EMAIL PROTECTED]
> wrote:
> A closed curve C (such as an ellipse, for example) is in a plane P.
> C is such that there exists at least one point in P from which one can
> draw radii to every point on C without crossing C. =A0Does this type of
> C have a (known)special name?
I don't know the answer and have no relevant expertise but let
me take a stab anyway. :-)
There is a type of "similarity" transformation in
polar coordinates such that
theta' =3D theta
r' =3D r * f(theta)
where f() is continuous. I don't know what such
transforms are called; call them "lemon-transforms"
for definiteness.
Now, a curve satisfies Alexm's criterion iff there
is some pole and some lemon-transform which
makes the curve convex.
Experts, is this right?
James
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