I am designing a water fountain on google sketchup and have run into a problem. I am designing the contours of the stone in the fountain. I would attach a picture of the problem but i need 10 reputation points. There are 3 circles. I have given the known x and y coordinates (a,b) and radii (r) for the circles below. I want to find the smallest circle's radius such that it tangentially touches the two other circles. I also want it to have the smallest circle's x coordinate center mentioned below (a = 2.027134).
circle 1: (a= 2.027134, b= ?, r= ?) circle 2: (a= 2.027134, b= 6.943200, r= 1.904068) circle 3: (a= 7.467008, b= 6.943200, r= 6.321755)
I have tried descartes theorem, Appolonius wikipedia information, but have had no luck. Any help would be much appreciated.