{
 "id": "source/vahabzadeh-khayyam-mathematician",
 "class": "source",
 "slug": "vahabzadeh-khayyam-mathematician",
 "label": {
  "ar": "بيجان وهاب زاده: الخيام رياضياً",
  "en": "Bijan Vahabzadeh: Khayyam as mathematician",
  "ur": "بیژن وہاب زادہ: خیام بطور ریاضی دان"
 },
 "summary": {
  "ar": "قسم المتوازيات المقروء من المقال ومن نسخة المؤلف،مع بيان فرضيات البرهان.",
  "en": "Actually read parallels section and author-deposited version,with proof assumptions explained.",
  "ur": "اصل پڑھے ہوئے متوازی خطوط اور مصنف کی نسخہ بندی،برہان کے مفروضوں سمیت۔"
 },
 "stub": false,
 "wings": [],
 "regions": [],
 "periods": [],
 "tags": [],
 "aliases": [],
 "themes": [],
 "data": {
  "kind": "secondary",
  "type": "article",
  "title": "Khayyam, Omar xiv. As Mathematician",
  "author": [
   {
    "family": "Vahabzadeh",
    "given": "Bijan"
   }
  ],
  "publisher": "Encyclopaedia Iranica,XVI/5,2019,pp498–509;HAL author deposit hal-05487369",
  "issued": {
   "date-parts": [
    [
     2019
    ]
   ]
  },
  "language": "en",
  "URL": "https://www.iranicaonline.org/articles/khayyam-omar/khayyam-omar-xiv-as-mathematician/",
  "open_access": true,
  "reliability_note": "Actual web commentary/parallels section and HALPDF cover/authorpages1–4 read,authorpage3visually inspected. https://hal.science/hal-05487369v1/file/Khayyam_as_mathematician.pdf . Cover verifies author/publication2019/498–509;24Feb2026 is deposit,not publication. Citations author-p1–p4 refer to manuscript-style pagination,not inferred printedpages.1077/470 completion report;convergence/divergence premises equivalent to parallel axiom,equidistance ambiguity,three summit-angle cases,eight propositions,Nasir reception,Saccheri comparison. Does not prove axiom from remaining neutral axioms. Primary commentary/Rashed+Vahabzadeh2000 not thereby 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-b73",
   "source": "Actual selected scholarly web section and author-deposited PDF selected authorpages1–4,cover metadata;not entire article or original commentary."
  }
 },
 "prose": {},
 "degree": 0,
 "contemporaries": [],
 "updated": "2026-11-06",
 "connections": [],
 "related": [],
 "license": {
  "prose": "CC BY-SA 4.0",
  "data": "CC0 1.0"
 }
}