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quod erat demonstrandum

[kwawd e-raht dey-mawn-strahn-doom; English kwod er-uht dem-uhn-stran-duhm]
Latin.
which was to be shown or demonstrated.

quod erat faciendum

[kwawd e-raht fah-kee-en-doom; English kwod er-uht fey-shee-en-duhm]
Latin.
which was to be done.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
quod (kwɒd)
 
n
chiefly (Brit) a slang word for jail
 
[C18: of uncertain origin; perhaps changed from quad, short for quadrangle]

quod erat demonstrandum (ˈkwɒd ˈɛræt ˌdɛmənˈstrændʊm)
 
QED (at the conclusion of a proof, esp of a theorem in Euclidean geometry) which was to be proved

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Cultural Dictionary
quod erat demonstrandum (Q.E.D.) [(kwawd er-aht dem-uhn-stran-duhm)]

A phrase used to signal that a proof has just been completed. From Latin, meaning “that which was to be demonstrated.”

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Example sentences
However, where it is necessary to prove the defamatory nature of the statement, the defamation is per quod and not per se.
Plaintiffs, however, cannot recover per quod damages.
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