The Ellipse
Introduction:
The ellipse is a generalization of the circle. It has an interesting geometric definition (shown below).
Definition:
Implicitly, the ellipse is defined by
Geometrically, the ellipse is defined by attaching a long string to two points (called the foci) and tracing the kink in the string as it is pulled tight in a full 360 degree rotation about the foci.
Properties:
Velocity and Acceleration:
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The Tangent Vector:
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Arc Length: |
Curvature:
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