quod erat demonstrandum

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English[edit]

Etymology[edit]

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[edit]

quod erat demonstrandum (plural quae erant demonstranda)

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

Derived terms[edit]

Translations[edit]


Latin[edit]

Pronunciation[edit]

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

Etymology[edit]

From quod the nominative neuter singular of quī ‎(that) and erat ‎(was) the third-person singular imperfect active indicative of sum ‎(I am) and dēmonstrandum ‎(thing to be proven) nominative neuter singular of dēmonstrandus which is the future passive participle of dēmonstrō ‎(I demonstrate). Literally meaning "(that) which was to be demonstrated".

Phrase[edit]

quod erat dēmonstrandum (plural quae erant dēmonstranda)

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

Derived terms[edit]


Portuguese[edit]

Phrase[edit]

quod erat demonstrandum

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

Synonyms[edit]