{"book":"adl0258","page":237,"text":"۲۳۲\n۸۹ طریق دریافت نمودن مثل مشترک اصغر دو جمله که\nمضروبات اصلیه آنها ظاهر نباشد\nفرض کنید که ا وب دو جمله جبر یه است و قاسم مشترک اعظم آنها ع است\nپس ا و ب را بر ع تقسیم کنید و فرض کنید که خارج قسمت ا و ب میباشند\nلهذا ا = اَ ع و ب = بَ ع\nو چون اَ بَ هیچ یک مضروب اصلی مشترک ندارند. لہذا ہر مثل مشترک\nا و ب بالضرور بر اَ ضرب ع ضرب بَ بطور مضروب شامل میباشد\nلهذا مثل مشترک اصغر مطلوب = اَ رع بَ\nو چون اَ رع بَ = اَ (رع بَ) = اَ بر ع ضرب ب\nیا = (اَ رع) بَ = ا ضرب بَ بر ع\nلهذا مثل مشترک اصغر مطلوب = ا بر ع ضرب ب\nیا = ا ضرب بَ بر ع\nپس برای دریافت نمودن مثل مشترک اصغر دو جمله جبریه یکی را\nبر قاسم مشترک اعظم آنها تقسیم کنید و خارج قسمت را در جمله دیم ضرب بکنید\nنتیجه اگر ص مثل مشترک اصغر ا و ب باشد ظاهر است که\nص ضرب ع = ا ضرب ب پس حاصل ضرب مثل مشترک اصغر\nو قاسم مشترک اعظم دو جمله جبریه مساوی حاصل ضرب دو جمله مفروضه کورتیا","chars":820,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00237.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/adl0258/237","canvas":"https://afghanpress.org/iiif/adl0258/canvas/237","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."}}