Equation of Strophoid in Cartesian Coordinates

Theorem

Let $S$ be a strophoid.

$S$ can be expressed with the equation:

$y^2 = x^2 \dfrac {x + a} {a - x}$

Proof

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Sources

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