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The phrase quod erat demonstrandum is a translation into Latin from the Greek ὅπερ ἔδει δεῖξαι (hoper edei deixai; abbreviated as ΟΕΔ). The meaning of the Latin phrase is "that [thing] which was to be demonstrated" (with demonstrandum in the gerundive).
Q.E.D. or QED is an initialism of the Latin phrase Latin: '''quod erat demonstrandum''', meaning "that which was to be demonstrated". Literally it states "what was to be shown".
The earliest known use of the phrase quod erat demonstrandum is in the early 1600s. OED's earliest evidence for quod erat demonstrandum is from 1614, in the writing of William Bedwell, Arabist and mathematician.
Quod erat demonstrandum is a Latin phrase meaning 'which was to be demonstrated.'. It is often abbreviated as Q.E.D. and is traditionally used at the end of a mathematical proof or philosophical argument to signify that the proof has been completed successfully.
Sep 16, 2024 · Philippe van Lansberge's 1604 Triangulorum Geometriæ used quod erat demonstrandum to conclude some proofs; others ended with phrases such as sigillatim deinceps demonstrabitur, magnitudo demonstranda est, and other variants.
Q.E.D. is an acronym or initialism of the Latin phrase quod erat demonstrandum, which means "what was to be demonstrated". In other words, Q.E.D. means "something was to be proven, and now it has been done".
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“Quod erat demonstrandum…” (Latin for “Which was to be proven”) is a phrase frequently found at the end of a mathematical proof or philosophical argument. It seemed a proper title for a work of this type: a short work making use of techniques that I’ve found useful in many of my recent pieces.
