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Convex and Concave

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• In general, a figure F is said to be convex if the following condisiton is satisfied :
  "For any two points A, B in F, the line segment AB is contained in F."
  And figures that are not convex are said to be concave.
  
  
• In the case of a polygon F, the condition of "convex" becomes easier as follows :
  "Any diagonal of F, except its vertices, is contained in the interior of F ."