# Category:Orthogonal Trajectories

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This category contains results about 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.

## Subcategories

This category has only the following subcategory.

### C

## Pages in category "Orthogonal Trajectories"

The following 10 pages are in this category, out of 10 total.

### O

- Orthogonal Trajectories of One-Parameter Family of Curves
- Orthogonal Trajectories/Cardioids
- Orthogonal Trajectories/Circles Tangent to Y Axis
- Orthogonal Trajectories/Concentric Circles
- Orthogonal Trajectories/Exponential Functions
- Orthogonal Trajectories/Parabolas Tangent to X Axis
- Orthogonal Trajectories/Parabolas with Focus at Origin
- Orthogonal Trajectories/Rectangular Hyperbolas
- Orthogonal Trajectories/x + C exp -x