[kawr-uh-ler-ee, kor-; especially British, kuh-rol-uh-ree]
noun, plural corollaries.
Mathematics. a proposition that is incidentally proved in proving another proposition.
an immediate consequence or easily drawn conclusion.
a natural consequence or result.

1325–75; Middle English < Late Latin corollārium corollary, in Latin: money paid for a garland, a gift, gratuity. See corolla, -ary Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
corollary (kəˈrɒlərɪ)
n , pl -laries
1.  a proposition that follows directly from the proof of another proposition
2.  an obvious deduction
3.  a natural consequence or result
4.  consequent or resultant
[C14: from Latin corollārium money paid for a garland, from Latin corolla garland, from corōnacrown]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

late 14c., from L.L. corollarium "a deduction, consequence," from L. corollarium, originally "money paid for a garland," hence "gift, gratuity, something extra," from corolla "small garland," dim. of corona "crown."
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
corollary   (kôr'ə-lěr'ē)  Pronunciation Key 
A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. A corollary to that statement is that an equilateral triangle is also equiangular.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
The corollary is that people want to be in control of how far those lines are
His derelict environments are a visual corollary to his characters' disturbing
If profligacy has been their social imperative, its moral corollary is
  unflinching tolerance.
Yet there's a strange corollary to this idea: namely, a parenthesizing of the
  role played by movies in the work of movie critics.
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