Cartesian Equation of Witch of Agnesi/Also presented as

Theorem

The cartesian equation of the Witch of Agnesi can also be seen presented as:

$x^2 y = 4 a^2 \paren {2 a - y}$

Some sources present the curve with the $y$-axis as the asymptote:

$x y^2 = 4 a^2 \paren {2 a - x}$

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): witch of Agnesi or versiera
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): witch of Agnesi (versiera)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): witch of Agnesi (versiera)