cartesian coordinates / two circles
I have two circles with known r1 & r2 radii.
I know the centers cartesian coordinates C0(a0,b0) & C1(a1,b1).
I know the distance "d" between centers of Circle 1 & Circle 2
(circles never overlap in my problem)
Then, i have (the two blue lines) like in this picture :
[IMG] http://img180.imageshack.us/img180/6710/twocircles.png [/IMG]
These 2 blue lines are common tangent lines
(interior tangent & exterior tangent) to those two circles.
I really need to find out the cartesian coordinates of :
case A (exterior tangent):
T0(x0,y0) = ?
T1(x1,y1) = ?
case B (interior tangent):
T2(x2,y2) = ?
T3(x3,y3) = ?
i.e , find for example for T0 point , x0 = ??? and y0 = ???
Please help, im not so good at math , need this in a very little game im trying to make.
Really appreciate your help .
note: this is use in a very little game im trying to make :)