Definition:Gabriel's Horn

Definition

Gabriel's horn is the name given to the solid of revolution formed by rotating about the $x$-axis the curve:

$y = \dfrac 1 x$

Also known as

This object is also known as Torricelli's trumpet for Evangelista Torricelli, who discovered that it paradoxically has a finite volume but infinite surface area.

Also see

• Volume of Gabriel's Horn
• Surface Area of Gabriel's Horn

Sources

• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Gabriel's horn