"quae erant demonstranda" meaning in Latin

{
  "etymology_text": "quae (nominative neuter plural of quī) + erant (third-person plural imperfect active indicative of sum) + dēmōnstranda (nominative neuter plural of dēmōnstrandus, future participle of dēmōnstrō)",
  "forms": [
    {
      "form": "quae erant dēmōnstranda",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "la",
        "2": "phrase",
        "head": "quae erant dēmōnstranda"
      },
      "expansion": "quae erant dēmōnstranda",
      "name": "head"
    }
  ],
  "lang": "Latin",
  "lang_code": "la",
  "pos": "phrase",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Latin entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 2 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "english": "(please add an English translation of this quotation)",
          "roman": "Itaque constat junctam CD aequalem fore, aut mino- rem, aut majorem ipsa AB, prout anguli ad eandem CD fuerint aut recti, aut obtusi, aut acuti. Quae erant demonstranda.",
          "text": "1986: Girolamo Saccheri, George Bruce Halsted (translator), Girolamo Saccheri’s Euclides vindicatus, page 24 (AMS Bookstore; ISBN 0‒8284‒0289‒2, 978‒0‒8284‒0289‒7)",
          "type": "quotation"
        }
      ],
      "form_of": [
        {
          "word": "quod erat dēmōnstrandum"
        }
      ],
      "glosses": [
        "plural of quod erat dēmōnstrandum"
      ],
      "id": "en-quae_erant_demonstranda-la-phrase-4Z~x0yAz",
      "links": [
        [
          "quod erat dēmōnstrandum",
          "quod erat demonstrandum#Latin"
        ]
      ],
      "tags": [
        "form-of",
        "plural"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈkʷae̯ ˈe.rant deː.monˈstran.da/",
      "tags": [
        "Classical-Latin"
      ]
    },
    {
      "ipa": "[ˈkʷäe̯ ˈɛrän̪t̪ d̪eːmõːˈs̠t̪rän̪d̪ä]",
      "tags": [
        "Classical-Latin"
      ]
    },
    {
      "ipa": "/ˈkwe ˈe.rant de.monˈstran.da/",
      "note": "modern Italianate Ecclesiastical"
    },
    {
      "ipa": "[ˈkwɛː ˈɛːrän̪t̪ d̪emonˈst̪rän̪d̪ä]",
      "note": "modern Italianate Ecclesiastical"
    }
  ],
  "word": "quae erant demonstranda"
}

{
  "etymology_text": "quae (nominative neuter plural of quī) + erant (third-person plural imperfect active indicative of sum) + dēmōnstranda (nominative neuter plural of dēmōnstrandus, future participle of dēmōnstrō)",
  "forms": [
    {
      "form": "quae erant dēmōnstranda",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "la",
        "2": "phrase",
        "head": "quae erant dēmōnstranda"
      },
      "expansion": "quae erant dēmōnstranda",
      "name": "head"
    }
  ],
  "lang": "Latin",
  "lang_code": "la",
  "pos": "phrase",
  "senses": [
    {
      "categories": [
        "Latin entries with incorrect language header",
        "Latin lemmas",
        "Latin multiword terms",
        "Latin phrases",
        "Latin terms with IPA pronunciation",
        "Latin terms with quotations",
        "Pages with 2 entries",
        "Pages with entries",
        "Requests for translations of Latin quotations"
      ],
      "examples": [
        {
          "english": "(please add an English translation of this quotation)",
          "roman": "Itaque constat junctam CD aequalem fore, aut mino- rem, aut majorem ipsa AB, prout anguli ad eandem CD fuerint aut recti, aut obtusi, aut acuti. Quae erant demonstranda.",
          "text": "1986: Girolamo Saccheri, George Bruce Halsted (translator), Girolamo Saccheri’s Euclides vindicatus, page 24 (AMS Bookstore; ISBN 0‒8284‒0289‒2, 978‒0‒8284‒0289‒7)",
          "type": "quotation"
        }
      ],
      "form_of": [
        {
          "word": "quod erat dēmōnstrandum"
        }
      ],
      "glosses": [
        "plural of quod erat dēmōnstrandum"
      ],
      "links": [
        [
          "quod erat dēmōnstrandum",
          "quod erat demonstrandum#Latin"
        ]
      ],
      "tags": [
        "form-of",
        "plural"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈkʷae̯ ˈe.rant deː.monˈstran.da/",
      "tags": [
        "Classical-Latin"
      ]
    },
    {
      "ipa": "[ˈkʷäe̯ ˈɛrän̪t̪ d̪eːmõːˈs̠t̪rän̪d̪ä]",
      "tags": [
        "Classical-Latin"
      ]
    },
    {
      "ipa": "/ˈkwe ˈe.rant de.monˈstran.da/",
      "note": "modern Italianate Ecclesiastical"
    },
    {
      "ipa": "[ˈkwɛː ˈɛːrän̪t̪ d̪emonˈst̪rän̪d̪ä]",
      "note": "modern Italianate Ecclesiastical"
    }
  ],
  "word": "quae erant demonstranda"
}