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

(deprecated template usage) quod erat demonstrandum (plural quae erant demonstranda)

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

Derived terms

• QED

Translations

Latin phrase

• Arabic: وَهُوَ الْمَطْلُوبُ إثْباتِهِ (wahuwa l-maṭlūbu ʔiṯbātihi)
• Chinese:

  Mandarin: 證明完畢／证明完毕, 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
• (deprecated template usage) {{trans-mid}}
• 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

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Latin

Etymology

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

Pronunciation

• (Classical Latin) IPA^(key): /kʷod ˈe.rat deː.monˈstran.dum/, [kʷɔd̪ ˈɛrät̪ d̪eːmõːˈs̠t̪rän̪d̪ʊ̃ˑ]
• (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

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Portuguese

Phrase

quod erat demonstrandum

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

Synonyms

• QED, CQD