Definition

1. Noun:
   • The property of being concave: The quality or state of having a surface or shape that curves inward, like the interior of a bowl or a cave.
   • A concave shape or surface: A specific hollowed-out area, depression, or inward-curving form.

Usage Examples

• Noun (Property):
  • The concavity of the satellite dish helps to focus the signals.
  • Scientists measured the concavity of the lens surface.
• Noun (Shape):
  • He placed the small stone in a concavity on the rock surface.
  • The sculptor carefully carved a deep concavity into the wood.

Advanced Usage

• "Concavity of a function": In mathematics, this describes the upward or downward curvature of a function's graph.
  • The second derivative test can determine the concavity of the curve.
• "Double concavity": A shape or surface that is concave on two sides.
  • The artifact had a distinctive double concavity.

Variants and Related Words

• Concave (adj): Curving inward.
  • A concave mirror.
• Concaveness (n): The state of being concave (a less common synonym for the property sense of "concavity").
• Concavely (adv): In a concave manner.

Synonyms

• Hollowness: The state of having an empty space inside.
• Depression: A sunken or hollowed area.
• Indentation: A recess or notch in a surface.
• Incurve: A curve that turns inward.

Antonyms

• Convexity: The property of being curved or rounded outward.
• Protuberance: A thing that protrudes or bulges outward.
• Prominence: The state of projecting from a surface.

Noun

1. the property possessed by a concave shape
2. a shape that curves or bends inward