Well I'm not quite sure where we are in the conversation at
this point but I have yet to notice a finite change to
finite r produced by a finite number of infinitesimals in
circular rotation. Probably my fault; I just haven't looked
hard enough.

I don't follow. What is r

r is a finite

and what are these "infinitessimals" you
are talking about?

I wish I knew better how to explain the concept in exhaustive
mechanical terms but the best I'm able to do at present is dr.

Do you perhaps mean "points" on the circle? (A
geometric point has length 0, not infinitessimal.)

No I definitely don't mean points on a circle because the whole
issue I'm trying to deal with in this context is how to mechanize
circular rotation to begin with. All these "points on a circle"
are mathemtical approximations to curvilinear motion in any event.
And that motion is mechanized by means of linear velocity and
transverse acceleration.