{
 "id": "source/nayrizi-mactutor",
 "class": "source",
 "slug": "nayrizi-mactutor",
 "label": {
  "ar": "ماكتوتر: النيريزي وتلقي مفاهيم الماهاني",
  "en": "MacTutor: al-Nayrizi and al-Mahani's ratio concepts",
  "ur": "میک ٹیوٹر: نیریزی اور ماہانی کے نسبتی مفاہیم"
 },
 "summary": {
  "ar": "سيرة وتعليق إقليدس وتبني مفاهيم النسبة، لا إثبات لقاء معلم وتلميذ.",
  "en": "Biography, Euclid commentary and adoption of ratio concepts, not proof of a teacher-pupil meeting.",
  "ur": "سوانح، اقلیدسی شرح و نسبتی مفاہیم کا اختیار، استاد شاگرد ملاقات کا ثبوت نہیں۔"
 },
 "stub": false,
 "wings": [],
 "regions": [],
 "periods": [],
 "tags": [],
 "aliases": [],
 "themes": [],
 "data": {
  "kind": "secondary",
  "type": "article",
  "title": "Abu'l Abbas al-Fadl ibn Hatim Al-Nayrizi",
  "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-Nayrizi/",
  "open_access": true,
  "reliability_note": "Actual complete biography body read. Says al-Nayrizi adopts concepts proposed by al-Mahani, who probably worked in Baghdad before his arrival. Does not establish a personal meeting. Original commentary/manuscripts or bibliography studies not read.",
  "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-b81",
   "source": "Actual MacTutor body, not an original ratio manuscript."
  }
 },
 "prose": {},
 "degree": 0,
 "contemporaries": [],
 "updated": "2026-11-06",
 "connections": [],
 "related": [],
 "license": {
  "prose": "CC BY-SA 4.0",
  "data": "CC0 1.0"
 }
}