Category:Equation of Ellipse in Reduced Form
Jump to navigation
Jump to search
This category contains pages concerning Equation of Ellipse in Reduced Form:
Let $K$ be an ellipse aligned in a cartesian plane in reduced form.
Let:
- the major axis of $K$ have length $2 a$
- the minor axis of $K$ have length $2 b$.
The equation of $K$ is:
- $\dfrac {x^2} {a^2} + \dfrac {y^2} {b^2} = 1$
The equation of $K$ in parametric form is:
| \(\ds x\) | \(=\) | \(\ds a \cos \theta\) | ||||||||||||
| \(\ds y\) | \(=\) | \(\ds b \sin \theta\) |
where $\theta$ is the eccentric angle of the point $P = \tuple {x, y}$ with respect to $K$.
Pages in category "Equation of Ellipse in Reduced Form"
The following 6 pages are in this category, out of 6 total.