{
 "id": "source/hogendijk-alhazen-lemmas-1996",
 "class": "source",
 "slug": "hogendijk-alhazen-lemmas-1996",
 "label": {
  "ar": "هوخندايك — تبسيطات المؤتمن لمقدمات مسألة ابن الهيثم",
  "en": "Hogendijk — simplified lemmas for Alhazen's problem",
  "ur": "ہوگنڈائک — مسئلۂ ابن الہیثم کی تمہیدوں کی تسہیل"
 },
 "summary": {
  "ar": "دراسة للمقدمات الهندسية وتلقيها؛ قُرئت الصفحات59–75 وفُحصت59–65، لا كامل النص المحقق.",
  "en": "Study of geometrical lemmas and reception;59–75 read and59–65 inspected, not the complete edited text.",
  "ur": "ہندسی تمہیدوں اور اخذ کی تحقیق؛59–75 پڑھے،59–65 بصری طور پر دیکھے، پورا محقق متن نہیں۔"
 },
 "stub": false,
 "wings": [],
 "regions": [],
 "periods": [],
 "tags": [],
 "aliases": [],
 "themes": [],
 "data": {
  "kind": "secondary",
  "type": "chapter",
  "title": "Al-Mu'taman's Simplified Lemmas for Solving 'Alhazen's Problem'",
  "author": [
   {
    "family": "Hogendijk",
    "given": "Jan P."
   }
  ],
  "publisher": "Universitat de Barcelona, From Baghdad to Barcelona: Studies in the Islamic Exact Sciences in Honour of Prof. Juan Vernet, vol.I, pp.59–101; Anuari de Filologia XIX (1996) B-2",
  "issued": {
   "date-parts": [
    [
     1996
    ]
   ]
  },
  "language": "en",
  "URL": "https://www.jphogendijk.nl/publ/IHLemmasMut.pdf",
  "open_access": true,
  "reliability_note": "Actual author-hosted22-spread PDF and publication index/cover verified. Rotated PDF extraction is garbled: rendered/OCR-read printed59–75 (PDF1–9), visually inspected cover/59 and60–65, not entire article, Arabic manuscript or full Sabra1982 article. Distinguishes Ibn al-Haytham's conic proofs from al-Mu'taman's adaptations;70–71 explicitly finds incomplete concave discussion and no evidence all later optical applications improved. Quartic equivalence in70 note is modern, not medieval algebra. Possible Western Arabic recension is a hypothesis, not surviving witness authenticated here. Quotes/translations of al-Mu'taman must not be assigned wholesale to Ibn al-Haytham.",
  "status": {
   "review": "published",
   "completeness": 2,
   "generated_by": "Copilot SDK in VS Code"
  },
  "provenance": {
   "generated_by": "Copilot SDK in VS Code",
   "model": "unknown",
   "run": "inventions-p3-b50",
   "source": "Actual author publication index, cover/selected59–75 and inspected59–65; source binaries/OCR outside git."
  }
 },
 "prose": {},
 "degree": 0,
 "contemporaries": [],
 "updated": "2026-11-06",
 "connections": [],
 "related": [],
 "license": {
  "prose": "CC BY-SA 4.0",
  "data": "CC0 1.0"
 }
}