Category:Orthogonal Trajectories

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This category contains results about Orthogonal Trajectories.


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

Let $g \left({x, y, c}\right)$ 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.