ABSTRACT
Analytic geometry in two-and three-dimensional space furnishes many examples of the geometric interpretation of algebraic relations between two or three variables. However, as expressed by N. Bourbaki, "... the restriction to geometric language, conforming to a space of only three dimensions, would be just as inconvenient a yoke for modern mathematics as the yoke that prevented the Greeks from extending the concept of numbers to relations between incommensurate quantities ..." .
