Q.E.D. facts for kids
Spinoza's original text of Ethics, Part 1. Q.E.D. is used at the end of DEMONSTRATIO of PROPOSITIO III. in the right page.
This page is about the Latin phrase. For other uses, see QED.
Q.E.D. is an acronym or initialism of the Latin phrase [quod erat demonstrandum] Error: {{Lang}}: text has italic markup (help), which means "what was to be demonstrated," In other words, Q.E.D. means "something was to be proven, and now it has been done".
History
In the European Renaissance, scholars often wrote in Latin. The phrases Q.E.D. was often used at the end of mathematical or philosophical proofs.
Equivalents in other languages
Q.E.D. is used in many languages, including:
| Language | Abbreviations | Stands for... |
|---|---|---|
| Arabic | و.هـ.م | وهو المطلوب إثباته |
| Bengali | অ. সি. | অতঃ সিদ্ধ |
| Croatian | Š.T.D. | što je trebalo dokazati |
| Czech | C.B.D. | což bylo dokázati |
| Estonian | M.O.T.T. | mida oligi tarvis tõestada |
| Finnish | M.O.T. | mikä on todistettu |
| French | C.Q.F.D. | ce qu'il fallait démontrer |
| German | w.z.b.w. | was zu beweisen war |
| Greek | Ο.Ε.Δ. | όπερ έδει δείξαι |
| Italian | C.V.D. | come volevasi dimostrare |
| Hebrew | .מ.ש.ל | מה שצריך להוכיח |
| Hindi | इ.सि. | इति सिद्धम् |
| Polish | c.b.d.u. | co było do udowodnienia |
| Portuguese | C.Q.D. | como queríamos demonstrar |
| Russian | ч.т.д. | что и требовалось доказать |
| Serbian | ш.т.д. | што је и требало доказати |
| Slovenian | q.e.d | (quonc)/konc enga dokaza |
| Tamil | நி.வே. | நிரூபிக்கப்படவேண்டியது |
| Thai | ซ.ต.พ. | ซึ่งต้องพิสูจน์ |
| Hungarian | E.K.B. | Ezt kellett bizonyítani |
| Spanish | Q.E.D. | queda entonces demostrado queda esto demostrado |
| Swedish | V.S.B. V.S.V |
vilket skulle bevisas vilket skulle visas |
| Vietnamese | đpcm. | Điều phải chứng minh |
Images for kids
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Philippe van Lansberge's 1604 Triangulorum Geometriæ used quod erat demonstrandum to conclude some proofs; others ended with phrases such as sigillatim deinceps demonstrabitur, magnitudo demonstranda est, and other variants.
See also
In Spanish: Quod erat demonstrandum para niños
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