Category:Examples of Orthogonal Trajectories
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This category contains examples of 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.
Pages in category "Examples of Orthogonal Trajectories"
The following 9 pages are in this category, out of 9 total.
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- Orthogonal Trajectories/Examples
- Orthogonal Trajectories/Examples/Cardioids
- Orthogonal Trajectories/Examples/Circles Tangent to Y Axis
- Orthogonal Trajectories/Examples/Concentric Circles
- Orthogonal Trajectories/Examples/Exponential Functions
- Orthogonal Trajectories/Examples/Parabolas Tangent to X Axis
- Orthogonal Trajectories/Examples/Parabolas with Focus at Origin
- Orthogonal Trajectories/Examples/Rectangular Hyperbolas
- Orthogonal Trajectories/Examples/x + C exp -x