What’s with the Numbers on a Miter Box?

miterbox
A Stanley 50-1/2 miter box.

Q: Can you explain the purpose of the numbers cast into the top of an old miter box? Obviously these have some relationship to the angle produced if you align the saw to one of these detents, but for the life of me I can’t figure out how the numbers are supposed to be read and used.

A: Those correspond to the angle required to cut a frame with that number of sides. So with the detent at 24 is the setting for a icosikaitetragon, at 12 for a dodecagon, at 8 for an octagon, at 6 for a hexagon, at 5 for a pentagon and at 4 for a tetragon. (And yes, I had to look up the proper name for a 24-agon.)

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