Thursday, February 16, 2012

Plane Curves: Neile's parabola (polar)

Neile's parabola (polar)

The Neile's parabola, also called semicubical parabola or semi-cubical parabola, is the curve along which a particle descending under gravity describes equal vertical spacings within equal times, making it an isochronous curve. The Neile's parabola is the evolute of a parabola. The Tschirnhausen cubic catacaustic is also a Neile's parabola.

Get copyable formulas for Neile's parabola (polar) from Differential Geometry Library (MathML, TeX, Mathematica input, Maple input)

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