Reference > Usage > The Columbia Guide to Standard American English
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Kenneth G. Wilson (1923–).  The Columbia Guide to Standard American English.  1993.
 
concave, convex (adjs.)
 
 
The circumference, or outer edge, of a concave object is closer to the viewer, and its center curves farther away; convex objects bulge the opposite way, with the center close to the viewer and the edge or circumference curved farther away. One-half of a hollow rubber ball illustrates both forms: viewed from inside, it’s concave; from the outside, it’s convex. (Mnemonic: a cave—as in concave—is hollow too.)  1
 
 
The Columbia Guide to Standard American English. Copyright © 1993 Columbia University Press.

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