Branches of Conchoid of Nicomedes are Asymptotic to Directrix

Theorem

Let $\KK$ be a conchoid of Nicomedes.

Let $\CC$ be the directrix of $\KK$.

Then $\CC$ is an asymptote to both branches of $\KK$ in both directions.

Proof

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Sources

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

• Weisstein, Eric W. "Conchoid of Nicomedes." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConchoidofNicomedes.html