Radius of Small Circle is Smaller than Radius of Sphere

Theorem

Let $S$ be a sphere.

Let $C$ be a small circle on $S$.

Then the radius of $C$ is smaller than the radius of $S$.

Proof

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Sources

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