Definition:Semicubical Parabola

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The semicubical parabola is the plane curve whose locus can be described with the equation:

$y^2 = a^2 x^3$


Also known as

The semicubical parabola is also known as:

Neile's parabola, after William Neile
the cuspidal cubic.

Also see

  • Results about the semicubical parabola can be found here.

Historical Note

The semicubical parabola was discovered and rectified by William Neile, who published his findings in $1657$.

In $1659$, John Wallis published the method he had used, giving William Neile full credit.

It was the first curve to be rectified, apart from conic sections and some of the spirals.