# Plane Curves and Space Curves

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## Abstract

If we draw the graph of a function *y* = *f* (*x*) on the plane, we obtain a curve. For example, the graph of *y* = *x*^{2} is a parabola. Similarly, the graph of a function *x* = *g*(*y*), for example *x* = *y*^{2}, is also a curve. Both *y* = *f* (*x*) and *x* = *g*(*y*) have one of the variables as an independent variable, and the other as a dependent variable. So *x* and y are not equally treated. If we rewrite these in the form *y* – *f* (*x*) = 0 or *x –g*(*y*) = 0, we can unify them in the form.

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© Springer Nature Singapore Pte Ltd. 2019