Definify.com
Webster 1913 Edition
Convex
Con′vex
,Adj.
[L.
convexus
vaulted, arched, convex, concave, fr. convehere
to bring together: cf. F. convexe
. See Vehicle
.] Rising or swelling into a spherical or rounded form; regularly protuberant or bulging; – said of a spherical surface or curved line when viewed from without, in opposition to concave.
Drops of water naturally form themselves into figures with a
convex
surface. Whewell.
Double convex
, convex on both sides; convexo-convex.
Con′vex
,Noun.
A convex body or surface.
Half heaven’s
convex
glitters with the flame. Tickell.
☞ This word was often pronounced con-vex' by early writers, as by Milton, and occasionally by later poets.
Webster 1828 Edition
Convex
CONVEX
,Adj.
CONVEX
,Noun.
Definition 2025
convex
convex
English
Top: a spoon with its convex side up.
Bottom: a spoon with its concave side up.
Bottom: a spoon with its concave side up.
A convex set. For any points x and y within the set, the connecting line lies within the set.
A convex polygon.
Adjective
convex (comparative more convex, superlative most convex)
- curved or bowed outward like the outside of a bowl or sphere or circle
- Whewell
- Drops of water naturally form themselves into figures with a convex surface.
- Whewell
- (mathematics, not comparable, of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
- (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
- (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.
Antonyms
Derived terms
- convex combination
- convex set
- semiconvex
Translations
curved or bowed outward like the outside of a bowl or sphere or circle
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Noun
convex (plural convexes)
References
- J[ohn] A. Simpson and E[dward] S. C. Weiner, editors (1989) The Oxford English Dictionary, 2nd edition, Oxford: Clarendon Press, ISBN 978-0-19-861186-8.