Semicubical Parabola
A Parabola-like curve with Cartesian equation
 | (1) |
 |  |  | (2) |
 | |  | (3) |
and Polar Coordinates,
 | (4) |
in 1687 and solved by Huygens (MacTutor Archive).The Arc Length, Curvature, and Tangential Angle are
 | |  | (5) |
 | |  | (6) |
 | |  | (7) |
See also Neile's Parabola, Parabola Involute
References
Gray, A. ``The Semicubical Parabola.'' §1.7 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 15-16, 1993. Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 85-87, 1972. Lee, X. ``Semicubic Parabola.''http://www.best.com/~xah/SpecialPlaneCurves_dir/SemicubicParabola_dir/semicubicParabola.html MacTutor History of Mathematics Archive. ``Neile's Parabola.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Neiles.html. Yates, R. C. ``Semi-Cubic Parabola.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 186-187, 1952.
- Semianalytic
- Semicircle
- Semicolon Derivative
- Semiconvergent Series
- Semicubical Parabola
- Semiderivative
- Semidirect Product
- Semiflow
- Semigroup
- Semi-Integral
- Semilatus Rectum
- Semimagic Square
- Semimajor Axis
- Semiminor Axis
- Semiperfect Magic Cube
- Semiperfect Number
- Semiperimeter
- Semiprime
- Semiprime Ring
- Semiregular Polyhedron
- Semiring
- Andrews-Curtis Link
- Andrews-Schur Identity
- Andrew's Sine
- Andrica's Conjecture