Definition:Hemisphere

Definition

Let $S$ be a sphere.

Let $S$ be bisected by a plane which passes through the center of $S$.

Each of the halves of $S$ into which $S$ is divided is called a hemisphere.

Hence a hemisphere is a zone of one base whose height equals the radius of $S$.

Base

The base of a hemisphere $\HH$ is the plane which bisects the sphere from which $\HH$ was formed.

Radius

The radius of a hemisphere $\HH$ is the radius of the sphere from which $\HH$ was formed.

Center

The center of a hemisphere $\HH$ is the center of the sphere from which $\HH$ was formed.

Also see

• Results about hemispheres can be found here.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): hemisphere
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): hemisphere
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hemisphere
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): hemisphere

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