The Parametric Equation of an Ellipse
This video is a part of the Ellipse playlist: • Ellipse
See more about ellipse: https://math-stuff.com/pages/standard...
In this video, we show how to get the parametric equation of an ellipse. We use the parametric equation of a circle and the fact that an ellipse is a circle shrunken in one direction.
Timestamps:
00:00 - Introduction
00:25 - Ellipse as a Shrunken Circle
00:48 - How Shrinking the Circle Affects Coordinates
01:22 - Calculating Stuff a Bit
02:04 - The Parametric Equation of the Ellipse
02:17 - A Thing to Keep In Mind
Software used for animations: Manim CE