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==English==
{{wikipedia|lang=en}}
[[File:CCCP_Spoons.JPG|thumb|Top: a spoon with its '''convex''' side up.<br>Bottom: a spoon with its {{l|en|concave}} side up.]]
[[File:Convex_polygon_illustration1.svg|thumb|A '''convex''' set. For any points ''x'' and ''y'' within the set, the connecting line lies within the set.]]
[[File:Pentagon.svg|right|thumb|A convex polygon.]]

===Etymology===
Borrowed from {{bor|en|frm|convexe}}, from {{der|en|la|convexus||arched}}.

===Pronunciation===
* {{IPA|en|/ˈkɒn.vɛks/|/kɒnˈvɛks/|/kənˈvɛks/|a=RP}}
* {{audio|en|LL-Q1860 (eng)-Vealhurl-convex.wav|a=Southern England}}
* {{IPA|en|/ˈkɑn.vɛks/|/kɑnˈvɛks/|/kənˈvɛks/|a=GA}}

===Adjective===
{{en-adj}}

# [[curved#Adjective|Curved]] or [[bowed#Adjective|bowed]] [[outward]] like the [[outside#Noun|outside]] of a [[bowl#Noun|bowl]], [[circle#Noun|circle]], or [[sphere]].
#* {{RQ:Whewell Inductive Sciences|volume=I|chapter=Earliest Stages of Astronomy|section=9 (The Globular Form of the Earth)|page=150|passage=[D]rops of water naturally form themselves into figures with a '''convex''' surface; {{...}}}}
# {{lb|en|functional analysis|not comparable|of a [[real-valued]] [[function]] on the [[real]]s}} having an [[epigraph]] that is a convex set.
# {{lb|en|geometry|not comparable|of a [[polygon]]}} having no internal angles greater than 180 degrees.
# {{lb|en|mathematics|not comparable|of a [[set]] in Euclidean space}} arranged such that for any two points in the set, a straight line between the two points is contained within the set.

====Antonyms====
* {{l|en|concave}}

====Derived terms====
{{col-auto|en|convexed|macroconvex|microconvex|multiconvex
|biconvex
|concavo-convex
|convex combination
|convex envelope
|convex function
|convex hull
|convex lens
|convex set
|convexedly
|convexification
|convexify
|convexly
|convexness
|convexoconcave
|convexoconvex
|convexoplane
|convexity
|double-convex
|equiconvex
|hyperconvex
|nonconvex
|plano-convex
|planoconvex
|polyconvex
|pseudoconvex
|quasiconvex
|semiconvex
|subconvex}}

====Translations====
{{trans-top|curved or bowed outward like the outside of a bowl, circle, or sphere}}
* Arabic: {{t|ar|مُحَدَّب}}
* Armenian: {{t+|hy|ուռուցիկ|sc=Armn}}
* Asturian: {{t|ast|convexu}}
* Bengali: {{t+|bn|উত্তল}}
* Bulgarian: {{t+|bg|изпъкнал}}
* Catalan: {{t+|ca|convex}}
* Chinese:
*: Mandarin: {{t+|cmn|凸|tr=tū}}
* Cornish: {{t|kw|bothgrom}}
* Czech: {{t|cs|vypouklý}}, {{t|cs|vypuklý}}, {{t+|cs|konvexní}}
* Danish: {{t|da|konveks}}
* Dutch: {{t+|nl|bol}}
* Esperanto: {{t|eo|malkava}}, {{t|eo|konveksa}}
* Estonian: {{t|et|kumer}}
* Finnish: {{t+|fi|kupera}}
* French: {{t+|fr|convexe}}
* Galician: {{t+|gl|convexo}}, {{t+|gl|comba}}
* German: {{t+|de|konvex}}, {{t|de|[[nach]] [[außen]] [[gewölbt]]}}
* Greek: {{t+|el|κυρτός}}
*: Ancient: {{t|grc|κυρτός}}
* Hawaiian: {{t|haw|ʻeʻemu}}
* Hebrew: {{t|he|קעור|tr=qa'ur}}
* Hindi: {{t|hi|उत्तल}}, {{t+|hi|गुंबद}}, {{t+|hi|उन्नतोदर}}
* Hungarian: {{t+|hu|domború}}, {{t+|hu|konvex}}
* Icelandic: {{t|is|kúptur}}, {{t|is|ávalur}}
* Ingrian: {{t|izh|kupera}}
* Italian: {{t+|it|convesso}}
* Japanese: {{t+|ja|凸面|tr=とつめん, totsumen|sc=Jpan}}
* Kannada: {{t|kn|ನಿಮ್ನದರ್ಪಣ|sc=Knda}}
* Korean: {{t|ko|볼록한}}
* Kurdish:
*: Northern Kurdish: {{t+|kmr|qoqiz}}
* Latin: {{t|la|convexus}}
* Lithuanian: {{t|lt|išgaubtas}}
* Norwegian:
*: Bokmål: {{t+|nb|konveks}}
*: Nynorsk: {{t|nn|konveks}}
* Occitan: {{t+|oc|convèx}}
* Persian: {{t+|fa|کوژ}}
* Polish: {{t+|pl|wypukły}}
* Portuguese: {{t+|pt|convexo}}
* Romanian: {{t+|ro|convex}}
* Russian: {{t+|ru|вы́пуклый}}
* Sindhi: {{t+|sd|گھُٻيل}}
* Slovak: {{t|sk|konvexný}}
* Slovene: {{t+|sl|konveksen}}
* Spanish: {{t+|es|convexo}}
* Swedish: {{t+|sv|konvex}}
* Tagalog: {{t|tl|malukob}}
* Thai: {{t+|th|นูน}}
* Turkish: {{t+|tr|konveks}}, {{t+|tr|dışbükey}}
* Welsh: {{t+|cy|amgrwm|m}}, {{t|cy|amgrom|f}}
{{trans-bottom}}

===Noun===
{{en-noun}}

# Any convex [[body]] or [[surface]].
#* {{quote-journal|en|year=1714|publisher=w:Thomas Tickell|journal=Royal Progress
|passage=Half heaven's '''convex''' glitters with the flame.}}
# {{lb|en|gambling}} A [[playing card]] made convex for use in [[cheat]]ing.
#: {{cot|en|concave}}
# {{lb|en|gambling}} A small convex [[mirror]] used to cheat by observing other players' cards.
#: {{syn|en|shiner}}
#* {{quote-text|en|year=2019|author=John Philip Quinn|title=Fools of Fortune; or, Gambling and Gamblers
|passage=Of all the devices for defrauding at poker, the “shiner,” or “'''convex'''” {{...}} Modern '''convexes''' are also considerably larger than those of former days.}}

===Verb===
{{en-verb}}

# {{lb|en|intransitive}} To form a convex [[curve]] or [[surface]]; to become convex.
#* {{quote-journal|en|year=1859|month=November|work=The United Service Magazine |title=Harbours of Refuge|page=347|volume=|number=|passage=In like manner the north pier will '''convex''' seaward, extending across the bay to the extent of 1000 feet from low water, terminating in about eight fathoms, leaving a clear entrance of 500 feet between the pier heads, the depth of the entrance being from seven to eight fathoms.}}
#* {{quote-book|en|year=1926 | author=David Louis Jones | title=Diesel Engines, Marine--locomotive--stationary|page=502| passage=If the valve is ground excessively, the surfaces of the valve and cage  will '''convex''' so that the sealing contact is poor.}}
#* {{quote-book|en|year=1998| author=James Stephen Hardy, Stephen T. Hardy | title=Time-saver Details for Roof Design |page=247| passage=With thin metal flashing, as it expands, the metal between the fasteners will '''convex'''.}}
# {{lb|en|transitive}} To cause to form a convex curve or surface; to make convex.
#* {{quote-journal|en|year=1898|month=March|page=24|work=The Wood-worker |title=Tension in Saws|author=Junius|volume=17|number=1|passage=The back edge of the saw being under the lip of the cleat, use the anvil for a fulcrum and press down on the edge of the saw opposite, which will '''convex''' the plate, as the springing up concaved it, and the action of the fast and loose will be the reverse; that is, the fast will go down and the loose come up.}}
#* {{quote-book|en|year=1945| author=John Northern Hilliard | title=Card Magic: A Practical Treatise on Modern Card Conjuring |page=19| passage=This will '''convex''' the fan and hold the cards more rigidly in place.}}
#* {{quote-book|en|year=2012| chapter=Elegy| author=Tamir Greenberg| title=Poets on the Edge: An Anthology of Contemporary Hebrew Poetry|editor=| page=295| passage=In one moment the body will '''convex''' the checkered blanket, and later—the featureless absence;}}
# {{lb|en|ambitransitive}} To  [[circulate]] or cause to circulate in a [[curved]] path; to cause or exhibit [[convection]].
#* {{quote-book|en|year=2011| author=| title=Comprehensive Semiconductor Science and Technology |page=156| passage=The crystal/melt interface thus '''convexes''' into the melt; however, the convexity of the interface ( Figure 53 ) is not as strong as it is when the crucible does not rotate (Figure 52).}}
#* {{quote-book|en|year=2014| author=Amy-Elyse Neer | title=The Seven Things Cookbook|page=96| passage=The lid on will '''convex''' the heat and you'll need that after it's been chilled.}}

====References====
* {{R:OED2}}

==Catalan==
{{wikipedia|lang=ca}}

===Etymology===
{{bor+|ca|la|convexus}}.

===Pronunciation===
* {{ca-IPA|è}}<!-- per GDLC, DNV; DCVB claims /e/ everywhere, which seems strange -->

===Adjective===
{{ca-adj}}

# {{l|en|convex}}
#: {{ant|ca|còncau}}

====Related terms====
* {{l|ca|convexitat}}

===Further reading===
* {{R:ca:IEC2}}

==Dutch==

===Etymology===
Borrowed from {{bor|nl|fr|convexe}}, from {{der|nl|la|convexus}}.

===Pronunciation===
* {{IPA|nl|/kɔnˈvɛks/}}
* {{audio|nl|Nl-convex.ogg}}
* {{hyphenation|nl|con|vex}}
* {{rhyme|nl|ɛks|s=2}}

===Adjective===
{{nl-adj}}

# {{l|en|convex}}
#: {{syn|nl|bolrond}}
#: {{ant|nl|concaaf}}

====Declension====
{{nl-decl-adj}}

====Derived terms====
* {{l|nl|biconvex}}
* {{l|nl|convexiteit}}

====Descendants====
* {{desc|id|bor=1|konveks|alt=konvèks}}

==Romanian==

===Etymology===
{{bor+|ro|fr|convexe}}, from {{der|ro|la|convexus}}.

===Adjective===
{{ro-adj}}

# {{l|en|convex}}

====Declension====
{{ro-decl-adj}}

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