# Definition:Arc

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## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**Arc** may refer to:

- Graph theory:
- An arc of a directed graph is a line, with a directional arrow, that joins one vertex to another.

- Geometry:
- An arc is a
*specific part*of a general curve. Particular usages:- Arc of Circle: any part of its circumference;
- Arc of Cycloid: one of the parts of a cycloid between two cusps.

- An arc is a

- Topology:
- An arc from $a$ to $b$ in a topological space is a continuous injection $f: I \to T$ such that $\map f 0 = a$ and $\map f 1 = b$.