"porism" meaning in English

{
  "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": "89 11",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "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": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "glosses": [
        "A corollary."
      ],
      "id": "en-porism-en-noun-qSnEuoLd",
      "links": [
        [
          "corollary",
          "corollary"
        ]
      ]
    }
  ],
  "word": "porism"
}

{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms derived from Ancient Greek"
  ],
  "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": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "glosses": [
        "A corollary."
      ],
      "links": [
        [
          "corollary",
          "corollary"
        ]
      ]
    }
  ],
  "word": "porism"
}