Definition:Self-Orthogonal Trajectories

Definition

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

Let the family of orthogonal trajectories of $F$ be $F$ itself.

Then $\map f {x, y, c}$ is self-orthogonal.

Sources

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: Miscellaneous Problems for Chapter $1$: $6$