Definition:Parametric Equation/Parameter

Definition

Let $n \in \Z_{>0}$ be a positive integer.

Let:

$\set {\phi_k: 1 \le k \le n}$

be a set of parametric equations such that:

$x_k = \map {\phi_k} t$

for some independent variable $t$.

$t$ is referred to as the (independent) parameter of $\set {\phi_k: 1 \le k \le n}$.

Sources

• 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {II}$. The Straight Line: $4$. Special forms of the equation of a straight line: $(1)$ Gradient forms