The Geometry of Common Shapes

Geometry is the study of constructible shapes. In this chapter we will review some of the shapes that occur in geomatics and GIS that occupy ordinary two-or threedimensional “Euclidian” space. Euclid was a Greek mathematician of the 3rd century bc who worked out a series of axioms or postulations concerning points, lines, angles, surfaces, and volumes. From these, he derived 465 theorems.