Analytic Geometry in the Plane

Abstract

We pointed out in §5 that if we construct a system of Cartesian coordinates in a plane P and if $F\left( {x,y} \right)$ is a function of the two independent variables x and y, then the equation

$$F(x,y) = 0$$

((1))

defines a curve in the plane, namely, all of the points $z = (x,y)$ whose coordinates satisfy the equation (1).