If r_1 and r_2 are the given lines, the center C of any circle tangential to r_1 and r_2 satisfies
d ( C , r_1 ) = d ( C , r_2 ) = r .
Given two intersecting lines of the form y = mx+c, which are both tangential to a circle of radius r, how do I find an algebraic solution for:
- the location of the circle centre
- the location of each line/circle intersection
I guess there are two possible answers, as the circle could be in one of two positions.