Relation Between Eccentric Angle and Slope of Chord

Relation Between Eccentric Angle and Slope of Chord

For the point:

$$P(a\cos\theta,b\sin\theta)$$

the slope of the chord joining the centre to $$p$$ is:

$$m=\frac{b\sin\theta}{a\cos\theta}$$

Usage

- Used to determine the eccentric angle or the slope of the line joining the centre to a point on the ellipse.