The Semicubical Parabola
Introduction:
The semicubical parabola is so called because its parameterization is half parabolic and half cubic. It was the first curve discovered to have algebraic arc length, other than the straight line.
Definition:
Implicitly, it is defined by
Properties:
Velocity and Acceleration:
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The Tangent Vector:
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Arc Length: |
Curvature:
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