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which was to be shown or demonstrated (used especially in mathematical proofs).
Origin of Q.E.D.
1810-20; < Latin quod erat dēmōnstrandum Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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1760, abbreviation of Latin quod erat demonstrandum "which was to be demonstrated."

Online Etymology Dictionary, © 2010 Douglas Harper
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Latin quod erat demonstrandum (which was to be demonstrated)
The American Heritage® Abbreviations Dictionary, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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