As I piece together some of my background information, I had a thought: the theatrum machinarum use no classificatory framework. Instead, they depend largely on extant representational mechanisms. Admittedly, the later work of Leupold developed representations with some solid--if wrong--mathematical rigour. The early works, however, were largely devoid of those classifications.
That said, where exactly did Agricola come up with his break-away and exploded views? Were those tropes completely sui generis?
Following on from my previous note, check out the work of Dymock Cressy or try a search for "Moxon AND mechanick".