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quod erat demonstrandum

[ kwawd -e-raht -dey-mawn-strahn-doom; English kwod -er-uht -dem-uhn-stran-duhm ]
/ kwɔd ˈɛ rɑt ˌdeɪ mɔnˈstrɑn dʊm; English kwɒd ˈɛr ət ˌdɛm ənˈstræn dəm /
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Latin.
which was to be shown or demonstrated.
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Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

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British Dictionary definitions for quod erat demonstrandum

quod erat demonstrandum
/ Latin (ˈkwɒd ˈɛræt ˌdɛmənˈstrændʊm) /

(at the conclusion of a proof, esp of a theorem in Euclidean geometry) which was to be provedAbbreviation: QED
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Cultural definitions for quod erat demonstrandum

quod erat demonstrandum
[ (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 New Dictionary of Cultural Literacy, Third Edition Copyright © 2005 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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