Neile's parabola is described in Cartesian coordinates by the formula
Christiaan Huygens showed that this curve satisfies the requirement asked for in 1687 by Gottfried Leibniz, namely, the curve along which a particle may descend under gravity so that it moves equal vertical distances in equal times. Neile's parabola is the evolute of a parabola.
Related category PLANE CURVES
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