Definition:Cruciform Curve

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