Erat Demonstrandum: ‘that which was to be demonstrated’
clues: Part of QED; Latin 1 verb conjugation; QED middle; Quod
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in English language:
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is an abbreviation of the Latin phrase "quod erat
demonstrandum" (literally, "which was to be
demonstrated"). In simple terms, its use is to indicate that
something has been definitively proven.
may be written at the end of mathematical proofs to show that the
result required for the proof to be complete has been obtained.
It is not seen as frequently now as it once was, since formal
geometry is less commonly taught as a separate subject.
term is also used both formally and informally in a wide variety
of disciplines, as well as in everyday conversation in many parts
of the English-speaking world.
page from Isaac Newton’s notebook
is a translation into Latin of the original Greek (hoper edei
deixai) which was used by many early mathematicians including
Euclid and Archimedes. Benedict De Spinoza also makes extensive
use of the abbreviation Q.E.D. in his various works.
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