Amsler Polar Planimeter [Measuring the area of complex irregular shapes/ boundaries] c1910

Short Description

Plush-lined fitted case some 12” long contains a polar planimeter invented by Swiss mathematician Jacob Amsler. All in very good condition and working order.

The instrument was a revolutionary change from the complex Cartesian system base instruments used before. This device uses polar co-ordinates.

With this device two arms are connected with a pivot both arms moving around the anchor. As the pivot moves back and forth it traces an area whose net measurement is zero. The means that the area traced by the tracer point exactly equals the area of the closed curve. The area is equivalent to 2pi X the product of the length of the tracer arm, the radius of the counting wheel and the number of revolutions of the counting wheel.

In more modern times mathematicians apply “Green’s theorem”.

Amsler’s radical and very useful new design

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Amsler Polar Planimeter [Measuring the area of complex irregular shapes/ boundaries] c1910

Short Description