WOLFRAM|DEMONSTRATIONS PROJECT

Locus of Centers of Spheres

a

0.6

b

1

c

1

d

0.6

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t

1

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The points

A

and

B

lie on the same side of the plane



(colored gray), with

AB

not parallel to



. What is the locus of the centers of the spheres through

A

and

B

that are tangent to



?