I. (ˈ)kän|veks, kənˈv- adjective
Etymology: Middle French or Latin; Middle French convexe, from Latin convexus vaulted, arched, convex, concave, from com- + -vexus (akin to vacillare to sway, stagger) — more at vacillate
1. : curved or rounded as the exterior or a section of a spherical or circular form — used of a spherical surface or curved line viewed from without; opposed to concave
2. : arched up : bulging out — used of that side of a curve or surface on which the tangent line or plane lies or on which normals at neighboring points diverge; opposed to concave
• con·vex·ly adverb
• con·vex·ness noun -es
II. (ˈ)kän|v- noun
( -es )
archaic : a convex body, surface, or part (as a vault or arch seen from without) ; specifically : the vault of the sky
half heaven's convex glitters with the flame — Thomas Tickell
III. ˈkänˌv-, kənˈv- verb
( -ed/-ing/-es )
: to bend convexly : bow outward in a convex curve
IV. adjective
1. : 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
2.
a. of a set of points : containing all points in a line joining any two constituent points
b. of a geometric figure : comprising a convex set when combined with its interior
a convex polygon
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