{"book":"adl0258","page":224,"text":"۲۱۹\n\nمثال ۵ قاسم مشترک اعظم ۴لا۲ - ۱۶لا + ۱۸ و ۶لا۳ - ۴لا۲ - ۲۰لا + ۲۴ سر معلوم\nجمله اول = ۲(لا۲ - ۸لا + ۹) وجمله دوم = ۲(۳لا۲ - ۲لا - ۱۰لا + ۱۸)\nپس قاسم مشترک اعظم مطلوب = قاسم مشترک اعظم مضروبات دو حدود کثیره\nضرب (قاسم مشترک اعظم ۲ و ۲)\nلا - ۸لا + ۹ (۳لا۲ - ۲لا - ۱۰لا + ۱۸ ( ۳لا + ۲۲\n۳لا۲ - ۲۴لا + ۲۷لا\n۲۲لا۲ - ۱۰لا - ۲۷لا + ۱۸\n۲۲لا۲ - ۱۷۶لا + ۱۹۸لا\n۱۶۶لا - ۲۲۵لا + ۱۸\nلا۲ - ۸لا + ۹\n۴۱\n۴۱لا۲ - ۱۶۶لا + ۱۱۰۷\n۴۱لا۲ - ۸لا - ۹ (۴۱لا۲ - ۱۶۶لا + ۱۱۰۷( لا\n۴۱لا۲ - ۳۲۸لا - ۳۶۹لا\n۱۶۲لا - ۳۶۹لا + ۱۱۰۷\n۱۶۲لا - ۱۲۹۶لا - ۱۴۵۸لا\n۹۲۷لا - ۲۵۶۵لا ( ۹\n۴۱\n۱۰۳لا - ۲۸۵لا ( ۹۲۷لا - ۲۵۶۵لا ( ۹\n۱۰۳لا - ۸۲۴لا + ۹۲۷لا\n۵۳۹لا - ۳۴۹۲لا ( ۵۳۹\nلا + ۱۲\nلا۲ - ۸لا + ۹ ( لا + ۱۲ ( لا۲ - ۸لا + ۹(لا - ۲۰\nلا۲ + ۱۲لا\n- ۲۰لا + ۹\n- ۲۰لا - ۲۴۰\nپس قاسم مشترک اعظم مطلوب = ۲(لا + ۱۲ + ۳)","chars":751,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00224.jpg","first_page":1,"last_page":309,"title":"Kitāb-i jabr va muqābalah ‏كتاب جبر و مقابله Silsilah-ʼi Mūʼallifāt-i Madrasah-i Mubārakah-i Ḥabībīyah-ʼi Dār al-Salṭanah-ʼi Kābul","permalink":"https://afghanpress.org/book/adl0258/224","canvas":"https://afghanpress.org/iiif/adl0258/canvas/224","source":"https://afghanistandl.nyu.edu/books/adl0258/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0258_download.pdf","rights":{"image":{"statement":"Public domain. NYU states: \"All works presented on this website are, unless otherwise indicated, in the public domain. The images available on this website may be freely reproduced, distributed and transmitted by anyone for any purpose, commercial or non-commercial.\"","uri":"http://rightsstatements.org/vocab/NoC-US/1.0/","holder":"New York University Libraries","source":"https://afghanistandl.nyu.edu/about.html","delivery":"Images are served from a copy mirrored by this project, not from NYU's servers, under the reproduction terms above.","endorsement":"This is an independent project. It is not affiliated with, endorsed by, or reviewed by New York University."},"text":{"statement":"Machine-generated transcription, dedicated to the public domain under CC0 1.0. No warranty of accuracy: see the provenance block on every page.","uri":"https://creativecommons.org/publicdomain/zero/1.0/","holder":"Steps Ventures"}},"provenance":{"text_produced_by":"gemini-3.1-pro-preview","thinking_level":"low","read_completed":"2026-08-09","per_page_confidence":null,"per_page_confidence_note":"Not recorded during the corpus run. No calibrated per-page score exists, and none is estimated here.","human_reviewed":false,"accuracy_context":"Roughly two thirds of characters agree with a modern printed edition of the same text. Much of the disagreement is editorial, not misreading. Treat the transcription as a finding aid and read the page image before quoting.","primary_source":"The page image. The text is an index into it."}}