Hello, Joe!
Welcome aboard!
We are given three infinite straight lines.
We need to construct a circle that is tangent to the first two lines
and has its center on the third line. Code:
L2 / /
/ /
/ ♥ C
/ o /
/ o /
/ o /
/ o /
/ o / L3
/ o /
/ o /
/ o /
L1 / o /
- - * - - - - - - - - - * - - - - - -
/ /
/ /
Assuming that the lines intersect . . .
Construct the bisector of the angle formed by and
. . The center of our circle lies on this angle bisector.
Locate the intersection of the angle bisector and
. . is the center of the circle
Determine the perpendicular distance from to (or to ).
. . That is the radius of the circle.