I need to find the center circle with a radius R3, tangent to other two circles with radius R1 and R2 and centers X1, Y1 and X2,Y2.

Any help? Thanks in avance!

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- December 8th 2005, 03:00 PMHelder Barros[SOLVED] Center of a circle tangent to other two circles
I need to find the center circle with a radius R3, tangent to other two circles with radius R1 and R2 and centers X1, Y1 and X2,Y2.

Any help? Thanks in avance! - December 8th 2005, 08:33 PMCaptainBlackQuote:

Originally Posted by**Helder Barros**

from , and also at a distance of from .

Hence the centre is at the point of intersection of:

and

(note there can be zero one or two solutions to this, also this

is for exterior tangency, if is large enough we

can also have interior tangency which would require a change to

the RHS of the equations to and respectivly.

Now I think of it you can also have mixed interior

and exterior tangency)

RonL