{
 "id": "source/haytham-mactutor",
 "class": "source",
 "slug": "haytham-mactutor",
 "label": {
  "ar": "ماكتوتر: ابن الهيثم ومسائل البواقي",
  "en": "MacTutor: Ibn al-Haytham and remainder problems",
  "ur": "میک ٹیوٹر: ابن الہیثم اور باقیوں کے مسائل"
 },
 "summary": {
  "ar": "عرض تاريخي لطريقة المضروب ومثال القسمة، لا أصل عربي فحصناه.",
  "en": "Historical account of the factorial construction, not an Arabic original inspected here.",
  "ur": "ضربی حاصل کی تشکیل کا تاریخی بیان، یہاں دیکھا ہوا عربی اصل نہیں۔"
 },
 "stub": false,
 "wings": [],
 "regions": [],
 "periods": [],
 "tags": [],
 "aliases": [],
 "themes": [],
 "data": {
  "kind": "secondary",
  "type": "article",
  "title": "Abu Ali al-Hasan ibn al-Haytham",
  "author": [
   {
    "family": "O'Connor",
    "given": "J. J."
   },
   {
    "family": "Robertson",
    "given": "E. F."
   }
  ],
  "publisher": "MacTutor History of Mathematics Archive, University of St Andrews",
  "language": "en",
  "URL": "https://mathshistory.st-andrews.ac.uk/Biographies/Al-Haytham/",
  "open_access": true,
  "reliability_note": "Page says last update November1999. Actual introduction and number-theory/analysis-synthesis passages read. Opuscula discussion gives two methods, explains factorial candidate6!+1 and says second gives all solutions; does not reproduce the second method. No original Opuscula/full Rashed edition read. Optical/twilight/priority claims elsewhere are not silently adopted.",
  "status": {
   "review": "published",
   "completeness": 3,
   "generated_by": "Copilot SDK in VS Code"
  },
  "provenance": {
   "generated_by": "Copilot SDK in VS Code",
   "model": "unknown",
   "run": "inventions-p3-b82",
   "source": "Actual selected MacTutor biography passages, not original manuscript or full bibliography reading."
  }
 },
 "prose": {},
 "degree": 0,
 "contemporaries": [],
 "updated": "2026-11-06",
 "connections": [],
 "related": [],
 "license": {
  "prose": "CC BY-SA 4.0",
  "data": "CC0 1.0"
 }
}