A wonderful work!
Thankyou very much for showing us.
It really rather awe-inspiring to learn just what became possible so early in the 19C.
Steel rules with sixty-fourths are common, but I did have one with 1/128 divisions! Quite how anyone was expected to use that, I have no idea. A scribed line is likely at least that wide.
I’ve also one of those transparent plastic rules with the parallelogram grids for measuring down to umpteenths – I have long forgotten the principle and how to use it, but vaguely recollect it uses “similar triangles” properties.
I recall once seeing, probably in a history-book, a copy of a 16th or 17th wood-cut of boring a cannon barrel. The cutting head, such as it was, was not really shown but it was driven by manually rotating a long shaft in bearings on a line of posts in front of the muzzle. There was no feed as such, simply the operator pushing the cutter forwards as he turned the handle. I think large guns of the day were more often of bronze than iron, but the task must have been very tedious and physically arduous.
That three-plate method for making reference flats has a sonar equivalent, called Reciprocity Calibration, to calibrate a trio of nominally-identical piezo-electric transducers together, from each other. “Reciprocity” in this context means each transducer will work as a “projector” (underwater loudspeaker) and hydrophone. Transducer A is made to “ping” at B and C in turn, then B to C; over the required frequency range at a constant driving voltage, and the voltages of the received signals recorded. These and the known settings on the calibrated amplifiers and measuring instruments are then used to calculate the receiving and transmitting sensitivities of all three transducers.