Neile's Parabola
The solid curve in the above figure which is the Evolute of the Parabola (dashed curve). In CartesianCoordinates,
Neile's parabola is also called the Semicubical Parabola, and was discovered by William Neile in 1657. It was the firstnontrivial Algebraic Curve to have its Arc Length computed. Wallis published the method in 1659, giving Neile thecredit (MacTutor Archive).See also Parabola Evolute
References
Lee, X. ``Semicubic Parabola.''http://www.best.com/~xah/SpecialPlaneCurves_dir/SemicubicParabola_dir/semicubicParabola.html MacTutor History of Mathematics Archive. ``Neile's Semi-Cubical Parabola.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Neiles.html.
- Alternating Knot Diagram
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