Similar method used to measure areas of other flat products; in summer 1976, after graduating HS, I worked in a local tannery. One guy's job was to send tanned hides thru a device which measured the area of the irregular hides by measuring the hide as strips, each strip maybe an inch wide, then totaling the strips. As the hide went thru the machine, a series of parallel wheel above the leather turned only as long as the leather was under it. All the wheels totaled together was the square footage of the hide.
In essence, simple mathematical integration by mechanical means.

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