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Trident of Descartes

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TridentofDescartes

The plane curve given by the equation

axy=(a+x)(a-x)(2a-x)
(1)
=x^3-2ax^2-a^2x+2a^3,
(2)

which, solving for y, gives

y=((a+x)(a-x)(2a-x))/(ax).
(3)

The plots above are for a=0.5 to 3.

See also

Trident, Trident of Newton

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Cite this as:

Weisstein, Eric W. "Trident of Descartes." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TridentofDescartes.html

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