# Arc vs Curvature - What's the difference?

arc | curvature | Related terms |

## As an acronym arc

is (pathology) aids-related complex.

## As a noun curvature is

the shape of something curved.

# arc

## English

(wikipedia arc)

### Noun

(en noun)
• (astronomy) That part of a circle which a heavenly body appears to pass through as it moves above and below the horizon.
• (geometry) A continuous part of the circumference of a circle (circular arc) or of an other curve.
• A curve, in general.
• A band contained within parallel curves, or something of that shape.
• (electrics) A flow of current across an insulating medium; especially a hot, luminous discharge between either two electrodes or as lightning.
• A story arc.
• (mathematics) A continuous mapping from a real interval (typically [0, 1]) into a space.
• (graph theory) A directed edge.
• #### Synonyms

* (curve) curve, swoop * (circular arc) circular arc, circle segment * (directed edge) arrow, directed edge

### Verb

• To move following a curved path.
• * {{quote-news, year=2011
• , date=February 4 , author=Gareth Roberts , title=Wales 19-26 England , work=BBC citation , page= , passage=Gatland's side got back to within striking distance when fly-half Jones's clever pass sent centre Jonathan Davies arcing round Shontayne Hape.}}
• To form an electrical arc.

* * * ----

# curvature

## English

### Noun

(en noun)
• The shape of something curved.
• (mathematics) The extent to which a subspace is curved within a metric space.
• The extent to which a Riemannian manifold is intrinsically curved.