concave vs convex

concave

noun
  • A playing card made concave for use in cheating. 

  • One of the celestial spheres of the Ptolemaic or geocentric model of the world. 

  • An indentation running along the base of a surfboard, intended to increase lift. 

  • An element of a curved grid used to separate desirable material from tailings or chaff in mining and harvesting. 

  • The vault of the sky. 

  • An indented area on the top of a skateboard, providing a position for foot placement and increasing board strength. 

  • A concave surface or curve. 

verb
  • To render concave, or increase the degree of concavity. 

adj
  • Hollow; empty. 

  • Satisfying the property that all segments connecting two points on the function's graph lie below the function. 

  • Not convex; having at least one internal angle greater than 180 degrees. 

  • Curved like the inner surface of a sphere or bowl. 

convex

noun
  • A playing card made convex for use in cheating. 

  • A small convex mirror used to cheat by observing other players' cards. 

  • Any convex body or surface. 

adj
  • arranged such that for any two points in the set, a straight line between the two points is contained within the set. 

  • Curved or bowed outward like the outside of a bowl, circle, or sphere. 

  • having no internal angles greater than 180 degrees. 

  • having an epigraph that is a convex set. 

How often have the words concave and convex occurred in a corpus of books? (source: Google Ngram Viewer )