Category:Definitions/Orthogonal Trajectories

This category contains definitions related to Orthogonal Trajectories.
Related results can be found in Category:Orthogonal Trajectories.

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

Let $\map g {x, y, c}$ also define a one-parameter family of curves $G$, with the property that:

Every curve in $F$ is orthogonal to every curve in $G$.

Then $F$ is a family of (reciprocal) orthogonal trajectories of $G$, and contrariwise.