I am astounded reading your article on math measurements at crime scenes. Bullet trajectory paths with string. This was done in the 1980's. We have advanced alot since then.
We now measure scenes with Total Stations and robotics, data collector and electronic drawing program. See www.MapScenes.com
As far as measurements go at crime scenes, laser scanners are a great tool. MapScenes are the only ones to download the PointCloud data into a universal CAD drawing program. Animation can now be added to a PointCloud image which is 3D.
The math has all been done for you. The equipment is not expensive if you use it everyday. It is often shared with Crime Scene examiners and Crash reconstruction investigations, often the twai are one case.
So Tod Ekleberry and David Rose, are you aware of this. There is no sense in re inventing the wheel.