Definition:Cruciform Curve
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Definition
The cruciform curve is the plane quartic curve which is the locus of the equation expressed in Cartesian coordinates as:
- $x^2 y^2 = a^2 \paren {x^2 + y^2}$
Also known as
The cruciform curve is also known by the whimsical name the policeman on point duty.
Also see
- Results about the cruciform curve can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cruciform curve
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cruciform curve