Area of Plane Figures
Intuitively, the area of a plane region should be a positive number that we associate to the region and that serves to quantify the space it occupies. We refer the interested reader to the excellent book of E. Moise for a proof that it is indeed possible to associate to each convex polygon in the plane a notion of area satisfying postulates 1. to 5. below. Our purpose in this chapter is mainly to operationalize the computation of areas, extracting from it some interesting applications.
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