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The Conchoid of Dürer also called Dürer's shell curve is a variant of a conchoid or plane algebraic curve. It is not a true conchoid.

- $2y^2(x^2+y^2)\; -\; 2by^2(x+y)\; +\; (b^2-3a^2)y^2\; -\; a^2x^2\; +\; 2a^2b(x+y)\; +\; a^2(a^2-b^2)\; =\; 0\; .\; ,$

Special cases include:

- a=0: the line y=0;
- b=0: the line pair $y\; =\; pm\; x\; /\; sqrt2$ together with the circle $x^2+y^2=a^2$;

- J. Dennis Lawrence (1972).
*A catalog of special plane curves*. Dover Publications.

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Last updated on Saturday August 23, 2008 at 08:31:02 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Saturday August 23, 2008 at 08:31:02 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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