[adj., v. kon-keyv, kon-keyv; n. kon-keyv]
curved like a segment of the interior of a circle or hollow sphere; hollow and curved. Compare convex ( def 1 ).
Geometry. (of a polygon) having at least one interior angle greater than 180°.
Obsolete, hollow.
a concave surface, part, line, or thing.
Machinery. a concave piece, as one against which a drum rotates.
verb (used with object), concaved, concaving.
to make concave.

1375–1425; late Middle English (< Middle French) < Latin concavus, hollow. See con-, cave

concavely, adverb
concaveness, noun
subconcave, adjective
subconcavely, adverb
subconcaveness, noun Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
concave (ˈkɒnkeɪv, kɒnˈkeɪv)
1.  curving inwards
2.  physics having one or two surfaces curved or ground in the shape of a section of the interior of a sphere, paraboloid, etc: a concave lens
3.  maths (of a polygon) containing an interior angle greater than 180°
4.  an obsolete word for hollow
5.  (tr) to make concave
[C15: from Latin concavus arched, from cavus hollow]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

1570s, from L. concavus "hollow," from com- intensive prefix + cavus "hollow" (see cave (n.)).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

concave con·cave (kŏn-kāv', kŏn'kāv')
Curved like the inner surface of a sphere. n.
A concave surface, structure, or line.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
concave   (kŏn'kāv')  Pronunciation Key 
Curved inward, like the inside of a circle or sphere.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
Geodesic surfaces can be curved, zig-zag, concave-convex with each other in
The skull fragment also bore a concave imprint suggestive of a musket ball.
The articulating frame may also be configured to cause concave depressions
  similar to mechanical key caps in the surface.
Solid rubber outsole with concave lugs provide all-terrain grip and traction.
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