Asymptotes to Rectangular Hyperbola in Standard Form

Theorem

Let $\KK$ be a rectangular hyperbola in standard form.

The asymptotes of $\KK$ are the $x$-axis and the $y$-axis.

Proof

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Sources

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