quod erat demonstrandum

English

Etymology

Borrowed from Latin quod erat dēmonstrandum (“that which was to be proved”), calqued from Ancient Greek ὅπερ ἔδει δεῖξαι (hóper édei deîxai, “precisely what was required to be proved”).

Phrase

quod erat demonstrandum (plural quae erant demonstranda)

(something) which was to be proved; which was to be demonstrated.

Derived terms

QED

Translations

Latin phrase

Arabic: وَهُوَ الْمَطْلُوبُ إثْباتِهِ‎ (wahuwa l-maṭlūbu ʾiṯbātihi)
Chinese:
Mandarin: 證明完畢, 证明完毕 (zhèngmíng wánbì)
Czech: což mělo být dokázáno, což bylo dokázat
Dutch: hetgeen te bewijzen was
Estonian: mida oligi tarvis tõestada, MOTT
Finnish: mikä oli todistettava
French: ce qu’il fallait démontrer (fr), CQFD (fr)
German: quod erat demonstrandum (de); was zu beweisen war
Greek: όπερ έδει δείξαι (el) (óper édei deíxai)
Hebrew: מה שהיה להוכיח‎ (mah shehayah lehokhiach)
Icelandic: sem sanna átti n

Japanese: 証明終わり (しょうめいおわり, shōmei owari)
Latin: quod erat dēmonstrandum
Polish: co było do okazania, co było do udowodnienia
Portuguese: quod erat demonstrandum, como queríamos demonstrar
Romanian: ceea ce trebuia demonstrat
Russian: что и тре́бовалось доказа́ть (ru) (što i trébovalosʹ dokazátʹ)
Slovak: čo bylo treba dokázať
Spanish: como queríamos demostrar
Swedish: vilket skulle bevisas
Thai: ซึ่งต้องพิสูจน์ (sêung tông písòot)
Vietnamese: điều phải chứng minh

Latin

Etymology

Literally meaning "(that) which was to be demonstrated".

Pronunciation

(Classical) IPA^(key): /kʷod ˈe.rat deː.monˈstran.dum/, [kʷɔd ˈɛ.rat deː.mõːˈstran.dũ]

(Ecclesiastical) IPA^(key): /kwod ˈe.rat de.monˈstran.dum/, [kwod ˈeː.rat de.monˈstran.dum]

Phrase

quod erat dēmōnstrandum (plural quae erant dēmōnstranda)

which was to be proved; which was to be demonstrated.

Derived terms

q. e. d., Q. E. D., QED

Portuguese

Phrase

quod erat demonstrandum

quod erat demonstrandum (which was to be demonstrated)

Synonyms

QED, CQD

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