Geometry Divides the World

This meant, then, that the Greeks, in attempting to communicate their mathematical conceptioning, defined the circle as "an area bound by a closed line of equal radius from one point," the triangle as "an area bo)ound by a closed line of three angles, three edges, and three vertices." The Greeks talked only of the area that was "bound" as having validity and identity, while outside (on the other side of the boundary) existed only treachenerous terrain leading outward to boundless infinity—a...