I have been practicing my straightedge and compass constructions over the last few days and I'am trying to reproduce the solutions to the ten Apollonius problems (constructing circles which are tangent to three given objects which can be some combination of points, lines, and circles).
I'm doing fine for everything except LLC, the two lines and one circle case. Every site online that I can find says there are 8 solutions in the general case but I can only find 4. No site online seems to do the full construction of all 8 solutions, and after trying this one problem for over a day I'm starting to think it may be in error.
So I thought I would turn to stackexchange and ask if anyone knows a resource that constructs all 8 circles solving the Line-Line-Circle Apollonius problem?
Even just a picture with 8 solutions would help me out immensely.