[RESOLVED] Triangle formula

My Problem:
Given: Two Points [A and B] and a Distance [Delta], with Delta >= Distance from A to B.
Calculate all possible points [C] with Distance A to C plus Distance C to B equals Delta.

So I'm looking for all possible solutions for C in this equation:

SQRT( (Ax-Cx)^2 + (Ay-Cy)^2 ) + SQRT( (Bx-Cx)^2 + (By-Cy)^2 ) = Delta

with
Delta >= SQRT( (Ax-Bx)^2 + (Ay-By)^2 )


Is it possible to describe that problem in a single formula.


Thanks!:confused:

Wikipedia: Ellipse

The equation, x²/a² + y²/b² = 1, defines an ellipse centered at the origin. Rotation and translation can place the ellipse in the appropriate position around any two points. In this equation, a = Delta/2 and b = SQR(Delta² - DistAB²)/2.