Hello everyone!
Have spent the enitre few days trying to figure this problem out, but Im going nowhere.
Problem is I have the coordinates for two circles C1(-1,1) and C2(2,2.5) with radius r1 = 1 and r2 = 1.5. Now I have to write a program that calculates the coordinates for the points of the outer common tangent (p1 and p2) to these two circles. I know there are many ways of doing so, one of them being that you write a system of equations with the help of these relations:
(p1-c1)*(p1-p2)=0 (the radius for the circles are perpendicular to the line between the circle centers)
(p2-c2)*(p1-p2)=0
and
Abs(p1-c1)^2=r1^2 (these conditions are so that the points are on the circles)
Abs(p2-c2)^2=r2^2
I'm thinking that you have to solve p1 and p2 from these equations but I just don't know how to do it. Please if anyone could help me I would be so very grateful!
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