Planimeter, able to measure to hundreths of a square inch. It was used by foresters to measure the scaled mapping area of forest stands, timber sale units, post-sale activity units, and fire areas, among other things. You'd measure the square inch area of a unit drawn on a map and convert it to acres depending on the scale of the drawing. The planimeter was typically used for areas that needed higher accuracy, such as units in a timber sale contract or for double checking chain-and-compass surveys. Otherwise, if accuracy wasn't as important, we'd use a dot grid of varying precision for acreage measurement. Now they use heads-up screen digitizing in GIS (Geographical Information Systems) for "drawing" and measuring a unit.
Maybe I'll set it up to show how it works; haven't used it in ages.