Planimeter types and digital planimeter
Planimeter types and digital planimeter: A planimeter, also known as a platometer, is a measuring instrument used to determine the area of an arbitrary two-dimensional shape. There are several kinds of planimeters, but all operate in a similar way. There are Three types of planimeters available however all operate in a similar way. They are: 1.Prytz hatchet planimeter, 2.linear rolling planimeter 3.Amsler (polar) planimeter and compensating planimeter. The Swiss mathematician Jakob Amsler-Laffon built the first modern planimeter in 1854, the concept having been pioneered by Johann Martin Hermann in 1814. Many developments followed Amsler's famous planimeter, including electronic versions. The first planimeter (Prytz) is incredibly simple, but it provides only approximation of the total area. The other two of the planimeters are based on Green's theorem which relates line integral of second kind with double integral (the vector field and the domains of integratio...