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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).
The meaning of QUOD ERAT DEMONSTRANDUM is which (is what) was to be shown (originally) —abbreviation QED—used at the end of a logical or mathematical proof.
What does the phrase quod erat demonstrandum mean? There are two meanings listed in OED's entry for the phrase quod erat demonstrandum . See ‘Meaning & use’ for definitions, usage, and quotation evidence.
8 Οκτ 2018 · The Latin quod erat demonstrandum literally means “what was to be demonstrated.” It is actually a transliteration of a phrase ancient Greek mathematicians placed at the end of logical proofs—a kind of stamp that says “I proved what I set out to.
quod erat demonstrandum in British English Latin ( ˈkwɒd ˈɛræt ˌdɛmənˈstrændʊm ) (at the conclusion of a proof , esp of a theorem in Euclidean geometry ) which was to be proved
27 Σεπ 2024 · quod erat demonstrandum (plural quae erant demonstranda) (something) which was to be proved; which was to be demonstrated.
"Q.E.D." is an abbreviation derived from the Latin phrase "quod erat demonstrandum," which translates to "which was to be demonstrated" in English. It is used at the end of a proof or argument to signify that the desired outcome or conclusion has been successfully demonstrated or proven.
