Definition:Family of Curves/One-Parameter/Parameter

Definition

Let $\map f {x, y, c}$ define a one-parameter family of curves $F$.

The value $c$ is the parameter of $F$.

Also see

• Results about one-parameter families of curves can be found here.

Sources

• 1956: E.L. Ince: Integration of Ordinary Differential Equations (7th ed.) ... (previous) ... (next): Chapter $\text {I}$: Equations of the First Order and Degree: $1$. Definitions: $(1.1)$
• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 2$: General Remarks on Solutions