The taper gauges (also called taper rules) do not measure tapers!
The principle is dead simple: A thin, tapered piece of flat stock
is pushed into a hole (or slot, or other gap) as far as it will
go, and dimensions engraved on the tool indicate its width at that
point. They do not allow “exploring�?a hole for taper, but they
are a quick and easy way to establish the diameter at the entry,
and might even give an indication of any out-of-roundness at this
point.
Two versions of this tool exist: Those that taper in width and
those that taper in thickness. The first type may be graduated in
either fractional or decimal inch units or in metric units. A set
of four fractional inch rules measures from 1/16 to 2 1/16 inch in
1/64-inch increments; decimal inch taper rules come in sets of
eight (0.100- to 0.500- inch) and 10 (0.500- to 0.100- inch), with
0.001-inch divisions. Equivalent metric reading versions, with
0.02-millimeter markings, span from 2 to 25 millimeters. The
second, thickness tapering kind is calibrated in 0.001-inch
increments on one face and 0.05-millimeter units on the other. The
overall range of this tool is 0.010 to 0.150 inch /0.3 to 4.0
millimeters.