[adj. kon-veks, kuhn-; n. kon-veks]
having a surface that is curved or rounded outward. Compare concave ( def 1 ).
(of a polygon) having all interior angles less than or equal to 180°.
(of a set) having the property that for each pair of points in the set the line joining the points is wholly contained in the set.
a convex surface, part, or thing.

1565–75; < Latin convexus equivalent to con- con- + -vexus, perhaps < *wek-sos, derivative of base of vehere to convey, if original sense was “brought together (to a single point)”

convexly, convexedly [kuhn-vek-sid-lee] , adverb
convexedness, noun
subconvex, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
convex (ˈkɒnvɛks, kɒnˈvɛks)
1.  curving or bulging outwards
2.  physics having one or two surfaces curved or ground in the shape of a section of the exterior of a sphere, paraboloid, ellipsoid, etc: a convex lens
3.  maths (of a polygon) containing no interior angle greater than 180°
4.  (tr) to make convex
[C16: from Latin convexus vaulted, rounded]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

1570s, from M.Fr. convexe, from L. convexus "vaulted, arched," pp. of convehere "to bring together," from com- "together" + vehere "to bring" (see vehicle). Possibly from the idea of vaults carried together to meet at the point of a roof. Related: Convexity (c.1600). Convex lens is from 1822.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

convex con·vex (kŏn'věks', kən-věks')
Having a surface or boundary that curves or bulges outward, as the exterior of a sphere.

con·vex'i·ty n.
The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
convex   (kŏn'věks')  Pronunciation Key 
Curving outward, like the outer boundary of a circle or sphere.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
Shaping the hyperbolic, convex curve of the secondary mirror proved troublesome.
Again, the deeply modeled convex surfaces are backed by smoothed-out flat
Its ilium is distinctive, being dorsally convex in profile and with a thick
  dorsal margin.
They come in nine positive-negative pairs: one with a convex top and a drainage
  trough around the rim, the other concave.
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