Semicubical parabola
In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form (with a ≠ 0) in some Cartesian coordinate system. Solving for y leads to the explicit form which imply that every real point satisfies x ≥ 0. The exponent explains the term semicubical parabola. (A parabola can be described by the equation y = ax2.) Solving the implicit equation for x yields a second explicit form The parametric equation can also be deduced from the implicit equation by putting The semicubical parabolas have a cuspidal singularity; hence the name of cuspidal cubic. The arc length of the curve was calculated by the English mathematician William Neile and published in 1657 (see ). (Wikipedia).
