quod erat demonstrandum

English

Etymology

Borrowed from Latin quod erat dēmōnstrandum (“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)

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

Derived terms

• Q.E.D.

Translations

Latin phrase — see also Q.E.D.

• Arabic: وَهُوَ الْمَطْلُوبُ إثْبَاتُه (wahuwa l-maṭlūbu ʔiṯbātuh)
• Armenian: ինչ որ պահանջվում էր ապացուցել (inčʻ or pahanǰvum ēr apacʻucʻel)
• 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
• Esperanto: kio estis pruvota
• Estonian: mida oligi tarvis tõestada
• Finnish: mikä oli todistettava
• French: ce qu’il fallait démontrer (fr)
• Galician: o que se quería demostrar
• German: quod erat demonstrandum (de), was zu beweisen war
• Greek: όπερ έδει δείξαι (el) (óper édei deíxai)
• Hebrew: מה שהיה להוכיח (mah shehayah lehokhiach), מה שצריך להוכיח, מה שרצינו להוכיח
• Hindi: इति सिद्धम् (iti siddham)
• Hungarian: ezt kellett bizonyítani
• Icelandic: sem sanna átti n, það sem sanna átti
• Italian: come volevasi dimostrare
• 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, vilket skulle visas
• Thai: ซึ่งต้องพิสูจน์ (sêung tông písòot)
• Vietnamese: điều phải chứng minh

Latin

Etymology

Calque of Ancient Greek ὅπερ ἔδει δεῖξαι (hóper édei deîxai, literally “(that) which was to be demonstrated”).

Pronunciation

• (Classical Latin) IPA^(key): /ˈkʷo.de.rat.deː.monsˈtran.dum/, [ˈkʷɔd̪ɛräd̪ːeːmõːs̠ˈt̪rän̪d̪ʊ̃ˑ]
• (modern Italianate Ecclesiastical) IPA^(key): /kwod ˈe.rat de.monˈstran.dum/, [kwɔd̪ ˈɛːrät̪ d̪emonˈst̪rän̪d̪um]

Phrase

quod erat dēmōnstrandum (plural quae erant dēmōnstranda)

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

Derived terms

• q. e. d., Q. E. D., QED

Norwegian Bokmål

Etymology

Borrowed from Latin.

Interjection

quod erat demonstrandum

1. quod erat demonstrandum

References

• erat demonstrandum “quod erat demonstrandum” in The Bokmål Dictionary.

Norwegian Nynorsk

Etymology

Borrowed from Latin.

Interjection

quod erat demonstrandum

1. quod erat demonstrandum

References

• erat demonstrandum “quod erat demonstrandum” in The Nynorsk Dictionary.

Portuguese

Phrase

quod erat demonstrandum

1. quod erat demonstrandum (which was to be demonstrated)

   Synonyms: QED, CQD