Lituus is Asymptotic to Polar Axis

Theorem

Let $L$ be a lituus expressed in polar coordinates as:

$r^2 = \dfrac {a^2} \theta$

Then the polar axis is an asymptote to $L$.

Proof

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Sources

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