Chord Joining Two Parametric Points

Chord Joining Two Parametric Points

For points corresponding to parameters $$\theta_1$$ and $$\theta_2$$, the chord is:

$$\frac{x}{a}\cos\left(\frac{\theta_1+\theta_2}{2}\right)-\frac{y}{b}\sin\left(\frac{\theta_1+\theta_2}{2}\right)=\cos\left(\frac{\theta_1-\theta_2}{2}\right)$$

Usage

- Used to obtain the chord joining two parametric points of a hyperbola.