A Stretched (or Shrunken) Circle is 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 that when we stretch or shrink a circle in one direction, we get an ellipse.
Timestamps:
00:00 - Introduction
00:12 - Stretching the Smaller Circle is the Same as Shrinking the Larger Circle
00:38 - Introducing the Coordinate System
01:19 - The Definition of an Ellipse
02:11 - Placing Focal Points in the Right Spots
02:28 - Relation Between Coordinates of Corresponding Points
03:02 - Calculating Stuff a Bit
06:35 - A Shrunken Circle is an Ellipse
Software used for animations: Manim CE