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Math Help - Problem of Apollonius

  1. #1
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    Problem of Apollonius

    Given two circles of different radii, and a point, find the circle which will be tangent to all three of these. A circle is tangent to a point if the point is on the solution circle. If you can reduce one of the circles to a point or line that would be great because I have the scripts for every other solution except this one >_<.

    Thanks guys.
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  2. #2
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    Quote Originally Posted by SoftOath View Post
    Given two circles of different radii, and a point, find the circle which will be tangent to all three of these. A circle is tangent to a point if the point is on the solution circle. If you can reduce one of the circles to a point or line that would be great because I have the scripts for every other solution except this one >_<.

    Thanks guys.
    1. For the more general solution have a look here: Apollonius' Problem -- from Wolfram MathWorld

    2. You can reduce a circle around M(x_M, y_M) to a point if you use the radius 0:

    (x-x_M)^2+(y-y_M)^2=0 will yield M.
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