Definition:Geodesic Curve

Definition

Let $A$ and $B$ be points on a surface $S$.

A geodesic curve between $A$ and $B$ is the line between $A$ and $B$ completely embedded in $S$ whose length is the smallest of all lines between $A$ and $B$.

Also known as

A geodesic curve can also be known just as a geodesic.

Sources

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