# Problem of Apollonius

#### SoftOath

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.

#### earboth

MHF Hall of Honor
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 $$\displaystyle M(x_M, y_M)$$ to a point if you use the radius 0:

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

• SoftOath