con·​vex kän-ˈveks How to pronounce convex (audio) ˈkän-ˌveks How to pronounce convex (audio)
: curved or rounded outward like the exterior of a sphere or circle
: being a continuous function or part of a continuous function with the property that a line joining any two points on its graph lies on or above the graph
of a set of points : containing all points in a line joining any two constituent points
of a geometric figure : comprising a convex set when combined with its interior
a convex polygon

Examples of convex in a Sentence

Recent Examples on the Web But the convex, double-sided Wolf-Garten Interlocken Push Pull Weeder can more effectively loosen soil to cut weeds at the roots. New York Times, 1 Nov. 2023 New York would have to be on the convex part, because the whole point was to power Manhattan for a year, and planners wanted to keep it in the most advantageous position to benefit from that. Ian Frazier, The New Yorker, 11 Dec. 2023 The third-gen OLED panels use a stack of layers made of convex lenses measuring 1 micrometer. Scharon Harding, Ars Technica, 10 Jan. 2023 On the convex part, life would go on as usual, but on the concave part major changes could be expected. Ian Frazier, The New Yorker, 11 Dec. 2023 And, second, when the Earth was folded in half, what would be the concave part and what part would be convex? Ian Frazier, The New Yorker, 11 Dec. 2023 With a canny blend of concave and convex surfaces, the Gravity’s exterior design announces its progressive intent, with a backbone of elegant understatement. IEEE Spectrum, 18 Nov. 2023 That question was answered in 2017 when Michaël Rao proved that all convex tiling pentagons — and with them, all convex tiling polygons — had been found. Quanta Magazine, 30 Oct. 2023 Grimmer’s paper focused only on smooth functions, which have no sharp kinks, and convex functions, which are shaped like a bowl and only have one optimal value at the bottom. Quanta Magazine, 11 Aug. 2023

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'convex.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


Middle French or Latin; Middle French convexe, from Latin convexus vaulted, concave, convex, from com- + -vexus; perhaps akin to Latin vehere to carry — more at way

First Known Use

1571, in the meaning defined at sense 1a

Time Traveler
The first known use of convex was in 1571

Dictionary Entries Near convex

Cite this Entry

“Convex.” Dictionary, Merriam-Webster, Accessed 20 Apr. 2024.

Kids Definition


con·​vex kän-ˈveks How to pronounce convex (audio) kən- How to pronounce convex (audio)
: curved or rounded like the outside of a sphere or circle
a convex lens

Medical Definition


: curved or rounded like the exterior of a sphere or circle
convex lenses are used to correct for farsightedness
convexity noun
plural convexities
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