"porism" meaning in All languages combined

See porism on Wiktionary

Noun [English]

Audio: LL-Q1860 (eng)-Flame, not lame-porism.wav Forms: porisms [plural]
Etymology: From Ancient Greek πόρισμα (pórisma, “a deduction from a previous demonstration”). Etymology templates: {{der|en|grc|πόρισμα||a deduction from a previous demonstration}} Ancient Greek πόρισμα (pórisma, “a deduction from a previous demonstration”) Head templates: {{en-noun}} porism (plural porisms)
  1. (geometry, number theory) A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions. Categories (topical): Geometry, Number theory
    Sense id: en-porism-en-noun-e2KU1CCj Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 85 15 Disambiguation of Pages with 1 entry: 79 21 Disambiguation of Pages with entries: 90 10 Topics: geometry, mathematics, number-theory, sciences
  2. A corollary.
    Sense id: en-porism-en-noun-qSnEuoLd

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "πόρισμα",
        "4": "",
        "5": "a deduction from a previous demonstration"
      },
      "expansion": "Ancient Greek πόρισμα (pórisma, “a deduction from a previous demonstration”)",
      "name": "der"
    }
  ],
  "etymology_text": "From Ancient Greek πόρισμα (pórisma, “a deduction from a previous demonstration”).",
  "forms": [
    {
      "form": "porisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "porism (plural porisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "85 15",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "79 21",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "90 10",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions."
      ],
      "id": "en-porism-en-noun-e2KU1CCj",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "number theory",
          "number theory"
        ],
        [
          "proposition",
          "proposition"
        ],
        [
          "determinate",
          "determinate"
        ],
        [
          "indeterminate",
          "indeterminate"
        ],
        [
          "innumerable",
          "innumerable"
        ],
        [
          "solution",
          "solution"
        ]
      ],
      "raw_glosses": [
        "(geometry, number theory) A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "number-theory",
        "sciences"
      ]
    },
    {
      "categories": [],
      "examples": [
        {
          "ref": "1845, Robert Potts, Euclid's Elements:",
          "text": "Porism: something between a problem and a theorem or that in which something is proposed to be investigated.\nA Porism is a proposition in which it is proposed to demonstrate that some one thing, or more things than one, are given, to which, as also to each of innumerable other things, not given indeed, but which have the same relation to those which are given, it is to be shewn that there belongs some common affection described in the proposition.",
          "type": "quote"
        },
        {
          "ref": "1845, Robert Potts, Euclid's Elements:",
          "text": "In the original Greek of Euclid's Elements the corollaries to the propositions are called porisms.",
          "type": "quote"
        },
        {
          "ref": "1893, Florian Cajori, A History of Mathematics:",
          "text": "The term porism is vague in meaning. The aim of a porism is not to state some property or truth, like a theorem, nor to effect a construction, like a problem, but to find and bring to view a thing which necessarily exists with given numbers or a given construction, as, to find the centre of a given circle, or to find the G.C.D. of two given numbers.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A corollary."
      ],
      "id": "en-porism-en-noun-qSnEuoLd",
      "links": [
        [
          "corollary",
          "corollary"
        ]
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-porism.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/93/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/93/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav.ogg"
    }
  ],
  "word": "porism"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms derived from Ancient Greek",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "πόρισμα",
        "4": "",
        "5": "a deduction from a previous demonstration"
      },
      "expansion": "Ancient Greek πόρισμα (pórisma, “a deduction from a previous demonstration”)",
      "name": "der"
    }
  ],
  "etymology_text": "From Ancient Greek πόρισμα (pórisma, “a deduction from a previous demonstration”).",
  "forms": [
    {
      "form": "porisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "porism (plural porisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Geometry",
        "en:Number theory"
      ],
      "glosses": [
        "A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "number theory",
          "number theory"
        ],
        [
          "proposition",
          "proposition"
        ],
        [
          "determinate",
          "determinate"
        ],
        [
          "indeterminate",
          "indeterminate"
        ],
        [
          "innumerable",
          "innumerable"
        ],
        [
          "solution",
          "solution"
        ]
      ],
      "raw_glosses": [
        "(geometry, number theory) A proposition affirming the possibility of finding such conditions as will render a certain determinate problem indeterminate or capable of innumerable solutions."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "number-theory",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "Quotation templates to be cleaned"
      ],
      "examples": [
        {
          "ref": "1845, Robert Potts, Euclid's Elements:",
          "text": "Porism: something between a problem and a theorem or that in which something is proposed to be investigated.\nA Porism is a proposition in which it is proposed to demonstrate that some one thing, or more things than one, are given, to which, as also to each of innumerable other things, not given indeed, but which have the same relation to those which are given, it is to be shewn that there belongs some common affection described in the proposition.",
          "type": "quote"
        },
        {
          "ref": "1845, Robert Potts, Euclid's Elements:",
          "text": "In the original Greek of Euclid's Elements the corollaries to the propositions are called porisms.",
          "type": "quote"
        },
        {
          "ref": "1893, Florian Cajori, A History of Mathematics:",
          "text": "The term porism is vague in meaning. The aim of a porism is not to state some property or truth, like a theorem, nor to effect a construction, like a problem, but to find and bring to view a thing which necessarily exists with given numbers or a given construction, as, to find the centre of a given circle, or to find the G.C.D. of two given numbers.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A corollary."
      ],
      "links": [
        [
          "corollary",
          "corollary"
        ]
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-porism.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/93/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/93/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-porism.wav.ogg"
    }
  ],
  "word": "porism"
}

Download raw JSONL data for porism meaning in All languages combined (3.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the enwiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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.