Algorithms for simple 2D geometry coded in VB6

We need a few algorithms for solving tangent cases in 2D geometry. It is about circles/arcs tangent to other elements (arc, circle, line (mixed)). See attached PDF for a detailed description. The purpose is to create a circle/arc tangent to up to 3 other elements. There are also a few intermediate steps and conditions to solve, see PDF. In the case if a tangent circle/arc doesn’t touch an input element, a variable or function return value has to reflect this. In principle it is the same as seen in several CAD programs. --- The algorithms have to be coded in pure VB6 (Visual Basic 6). All variable names have to be self-explaining. Parts of the algorithms shall be in functions and not repeated over and over. A clean coding is wanted. Comment and variables in English please. --- A very simple sample app to be able to try out the functions must be done as well. Please ask questions if something is not clear to you. And don’t bid if you didn’t fully understood the tasks to solve. We will release the milestone immediately after we could prove the source code and it is error-free. Payment will happen immediately after testing on our side gives positive results. Payment will happen in one shot only after completion, no intermediate milestones. We need an invoice.