Axes of Symmetry of Kappa Curve

Theorem

Let $\KK$ be a kappa curve expressed in Cartesian coordinates as:

$x^4 + x^2 y^2 = a^2 y^2$

$\KK$ has two axes of symmetry:

the $x$-axis

the $y$-axis.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): kappa curve
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): kappa curve