"quod erat demonstrandum" meaning in English

See quod erat demonstrandum in All languages combined, or Wiktionary

Phrase

Forms: quae erant demonstranda [plural]
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”). Etymology templates: {{bor|en|la|quod erat dēmōnstrandum||that which was to be proved}} Latin quod erat dēmōnstrandum (“that which was to be proved”), {{der|en|grc|ὅπερ ἔδει δεῖξαι||precisely what was required to be proved}} Ancient Greek ὅπερ ἔδει δεῖξαι (hóper édei deîxai, “precisely what was required to be proved”) Head templates: {{head|en|phrase|plural|quae erant demonstranda|head=quod erat demonstrandum}} quod erat demonstrandum (plural quae erant demonstranda)
  1. (something) which was to be proved; which was to be demonstrated. Categories (topical): Mathematics Derived forms: Q.E.D. Translations: وَهُوَ الْمَطْلُوبُ إثْبَاتُه (wahuwa l-maṭlūbu ʔiṯbātuh) (Arabic), ինչ որ պահանջվում էր ապացուցել (inčʻ or pahanǰvum ēr apacʻucʻel) (Armenian), 證明完畢 (Chinese Mandarin), 证明完毕 (zhèngmíng wánbì) (Chinese Mandarin), což mělo být dokázáno (Czech), což bylo dokázat (Czech), hetgeen te bewijzen was (Dutch), kio estis pruvota (Esperanto), mida oligi tarvis tõestada (Estonian), mikä oli todistettava (Finnish), ce qu’il fallait démontrer (French), o que se quería demostrar (Galician), quod erat demonstrandum (German), was zu beweisen war (German), όπερ έδει δείξαι (óper édei deíxai) (Greek), מה שהיה להוכיח (mah shehayah lehokhiach) (Hebrew), מה שצריך להוכיח (Hebrew), מה שרצינו להוכיח (Hebrew), इति सिद्धम् (iti siddham) (Hindi), ezt kellett bizonyítani (Hungarian), sem sanna átti [neuter] (Icelandic), það sem sanna átti (Icelandic), come volevasi dimostrare (Italian), 証明終わり (shōmei owari) (alt: しょうめいおわり) (Japanese), quod erat dēmonstrandum (Latin), co było do okazania (Polish), co było do udowodnienia (Polish), quod erat demonstrandum (Portuguese), como queríamos demonstrar (Portuguese), ceea ce trebuia demonstrat (Romanian), что и тре́бовалось доказа́ть (što i trébovalosʹ dokazátʹ) (Russian), čo bylo treba dokázať (Slovak), como queríamos demostrar (Spanish), vilket skulle bevisas (Swedish), vilket skulle visas (Swedish), ซึ่งต้องพิสูจน์ (sêung tông písòot) (Thai), điều phải chứng minh (Vietnamese)

Inflected forms

Alternative forms

Download JSON data for quod erat demonstrandum meaning in English (5.3kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "quod erat dēmōnstrandum",
        "4": "",
        "5": "that which was to be proved"
      },
      "expansion": "Latin quod erat dēmōnstrandum (“that which was to be proved”)",
      "name": "bor"
    },
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "ὅπερ ἔδει δεῖξαι",
        "4": "",
        "5": "precisely what was required to be proved"
      },
      "expansion": "Ancient Greek ὅπερ ἔδει δεῖξαι (hóper édei deîxai, “precisely what was required to be proved”)",
      "name": "der"
    }
  ],
  "etymology_text": "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”).",
  "forms": [
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      "form": "quae erant demonstranda",
      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "quod erat demonstrandum (plural quae erant demonstranda)",
      "name": "head"
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  "lang": "English",
  "lang_code": "en",
  "pos": "phrase",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        {
          "kind": "topical",
          "langcode": "en",
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          "orig": "en:Mathematics",
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          "word": "Q.E.D."
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      "glosses": [
        "which was to be proved; which was to be demonstrated."
      ],
      "id": "en-quod_erat_demonstrandum-en-phrase-xinhYqd3",
      "qualifier": "something",
      "raw_glosses": [
        "(something) which was to be proved; which was to be demonstrated."
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "roman": "wahuwa l-maṭlūbu ʔiṯbātuh",
          "word": "وَهُوَ الْمَطْلُوبُ إثْبَاتُه"
        },
        {
          "code": "hy",
          "lang": "Armenian",
          "roman": "inčʻ or pahanǰvum ēr apacʻucʻel",
          "word": "ինչ որ պահանջվում էր ապացուցել"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "word": "證明完畢"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "zhèngmíng wánbì",
          "word": "证明完毕"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "word": "což mělo být dokázáno"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "word": "což bylo dokázat"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "word": "hetgeen te bewijzen was"
        },
        {
          "code": "eo",
          "lang": "Esperanto",
          "word": "kio estis pruvota"
        },
        {
          "code": "et",
          "lang": "Estonian",
          "word": "mida oligi tarvis tõestada"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "word": "mikä oli todistettava"
        },
        {
          "code": "fr",
          "lang": "French",
          "word": "ce qu’il fallait démontrer"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "word": "o que se quería demostrar"
        },
        {
          "code": "de",
          "lang": "German",
          "word": "quod erat demonstrandum"
        },
        {
          "code": "de",
          "lang": "German",
          "word": "was zu beweisen war"
        },
        {
          "code": "el",
          "lang": "Greek",
          "roman": "óper édei deíxai",
          "word": "όπερ έδει δείξαι"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "roman": "mah shehayah lehokhiach",
          "word": "מה שהיה להוכיח"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "word": "מה שצריך להוכיח"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "word": "מה שרצינו להוכיח"
        },
        {
          "code": "hi",
          "lang": "Hindi",
          "roman": "iti siddham",
          "word": "इति सिद्धम्"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "word": "ezt kellett bizonyítani"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "tags": [
            "neuter"
          ],
          "word": "sem sanna átti"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "word": "það sem sanna átti"
        },
        {
          "code": "it",
          "lang": "Italian",
          "word": "come volevasi dimostrare"
        },
        {
          "alt": "しょうめいおわり",
          "code": "ja",
          "lang": "Japanese",
          "roman": "shōmei owari",
          "word": "証明終わり"
        },
        {
          "code": "la",
          "lang": "Latin",
          "word": "quod erat dēmonstrandum"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "word": "co było do okazania"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "word": "co było do udowodnienia"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "word": "quod erat demonstrandum"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "word": "como queríamos demonstrar"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "word": "ceea ce trebuia demonstrat"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "što i trébovalosʹ dokazátʹ",
          "word": "что и тре́бовалось доказа́ть"
        },
        {
          "code": "sk",
          "lang": "Slovak",
          "word": "čo bylo treba dokázať"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "word": "como queríamos demostrar"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "word": "vilket skulle bevisas"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "word": "vilket skulle visas"
        },
        {
          "code": "th",
          "lang": "Thai",
          "roman": "sêung tông písòot",
          "word": "ซึ่งต้องพิสูจน์"
        },
        {
          "code": "vi",
          "lang": "Vietnamese",
          "word": "điều phải chứng minh"
        }
      ]
    }
  ],
  "word": "quod erat demonstrandum"
}
{
  "derived": [
    {
      "word": "Q.E.D."
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "quod erat dēmōnstrandum",
        "4": "",
        "5": "that which was to be proved"
      },
      "expansion": "Latin quod erat dēmōnstrandum (“that which was to be proved”)",
      "name": "bor"
    },
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "ὅπερ ἔδει δεῖξαι",
        "4": "",
        "5": "precisely what was required to be proved"
      },
      "expansion": "Ancient Greek ὅπερ ἔδει δεῖξαι (hóper édei deîxai, “precisely what was required to be proved”)",
      "name": "der"
    }
  ],
  "etymology_text": "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”).",
  "forms": [
    {
      "form": "quae erant demonstranda",
      "tags": [
        "plural"
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  ],
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    {
      "args": {
        "1": "en",
        "2": "phrase",
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      "expansion": "quod erat demonstrandum (plural quae erant demonstranda)",
      "name": "head"
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  "lang_code": "en",
  "pos": "phrase",
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        "English terms derived from Ancient Greek",
        "English terms derived from Latin",
        "English terms with non-redundant non-automated sortkeys",
        "Japanese terms with redundant script codes",
        "en:Mathematics"
      ],
      "glosses": [
        "which was to be proved; which was to be demonstrated."
      ],
      "qualifier": "something",
      "raw_glosses": [
        "(something) which was to be proved; which was to be demonstrated."
      ]
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "wahuwa l-maṭlūbu ʔiṯbātuh",
      "word": "وَهُوَ الْمَطْلُوبُ إثْبَاتُه"
    },
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "inčʻ or pahanǰvum ēr apacʻucʻel",
      "word": "ինչ որ պահանջվում էր ապացուցել"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "word": "證明完畢"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "zhèngmíng wánbì",
      "word": "证明完毕"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "word": "což mělo být dokázáno"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "word": "což bylo dokázat"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "word": "hetgeen te bewijzen was"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "word": "kio estis pruvota"
    },
    {
      "code": "et",
      "lang": "Estonian",
      "word": "mida oligi tarvis tõestada"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "word": "mikä oli todistettava"
    },
    {
      "code": "fr",
      "lang": "French",
      "word": "ce qu’il fallait démontrer"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "word": "o que se quería demostrar"
    },
    {
      "code": "de",
      "lang": "German",
      "word": "quod erat demonstrandum"
    },
    {
      "code": "de",
      "lang": "German",
      "word": "was zu beweisen war"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "óper édei deíxai",
      "word": "όπερ έδει δείξαι"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "mah shehayah lehokhiach",
      "word": "מה שהיה להוכיח"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "word": "מה שצריך להוכיח"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "word": "מה שרצינו להוכיח"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "iti siddham",
      "word": "इति सिद्धम्"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "word": "ezt kellett bizonyítani"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "tags": [
        "neuter"
      ],
      "word": "sem sanna átti"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "word": "það sem sanna átti"
    },
    {
      "code": "it",
      "lang": "Italian",
      "word": "come volevasi dimostrare"
    },
    {
      "alt": "しょうめいおわり",
      "code": "ja",
      "lang": "Japanese",
      "roman": "shōmei owari",
      "word": "証明終わり"
    },
    {
      "code": "la",
      "lang": "Latin",
      "word": "quod erat dēmonstrandum"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "word": "co było do okazania"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "word": "co było do udowodnienia"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "word": "quod erat demonstrandum"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "word": "como queríamos demonstrar"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "word": "ceea ce trebuia demonstrat"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "što i trébovalosʹ dokazátʹ",
      "word": "что и тре́бовалось доказа́ть"
    },
    {
      "code": "sk",
      "lang": "Slovak",
      "word": "čo bylo treba dokázať"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "word": "como queríamos demostrar"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "word": "vilket skulle bevisas"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "word": "vilket skulle visas"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "sêung tông písòot",
      "word": "ซึ่งต้องพิสูจน์"
    },
    {
      "code": "vi",
      "lang": "Vietnamese",
      "word": "điều phải chứng minh"
    }
  ],
  "word": "quod erat demonstrandum"
}
{
  "called_from": "page/2517",
  "msg": "UNIMPLEMENTED parse_translation_template: trans-top-see {1: 'Latin phrase', 2: 'Q.E.D.'}",
  "path": [
    "quod erat demonstrandum",
    "trans-top-see"
  ],
  "section": "English",
  "subsection": "phrase",
  "title": "quod erat demonstrandum",
  "trace": ""
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.