# Category:Orthogonal Trajectories

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.

## Pages in category "Orthogonal Trajectories"

The following 12 pages are in this category, out of 12 total.

### O

- Orthogonal Trajectories of One-Parameter Family of Curves
- Orthogonal Trajectories/Cardioids
- Orthogonal Trajectories/Circles Tangent to Y Axis
- Orthogonal Trajectories/Circles Tangent to Y Axis/Proof 1
- Orthogonal Trajectories/Circles Tangent to Y Axis/Proof 2
- 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