Equation of a Chord of a Rectangular Hyperbola

Equation of a Chord of a Rectangular Hyperbola

For:

$$xy=c^2$$

a chord joining the parametric points corresponding to $$t_1$$ and $$t_2$$ is:

$$x(t_1+t_2)+y\left(\frac{1}{t_1}+\frac{1}{t_2}\right)=2c$$

Usage

- Used to obtain the chord joining two specified parametric points.