{"book":"adl0258","page":216,"text":"۲۱۱\nمثال ۴ قاسم مشترک اعظم آ - ۱۶لا وآ + ۶لا - ۱۰لا + ۸لا را معلوم کنید\nجمله اول = (آ + ۴لا) (آ - ۴لا)\n= (آ + ۴لا) (۱ + ۲لا) (۱ - ۲لا)\nوجمله دوم = (۱ - ۲لا) (آ + ۳ولا - ۴لا)\n= (۱ - ۲لا) (۱ - لا) (آ + ۴لا)\nپس قاسم مشترک اعظم مطلوب = (۱ - ۲لا)\nتنبیه اگر چه مضروبات جمله دوم ظاهر نیست مگر قیاساً معلوم میشود\nکه یکی از مضروبات جمله اول مضروب جمله دوم نیز خواهد بود و بعد از امتحان\nظاهر میشود که ۱ - ۲لامضروب جمله دوم است\nمسئله (۴۹)\nقاسم مشترک اعظم جملہای ذیل را معلوم کنید -\n(۱) آ - اب وآ + ۲آب + آب (۲) لا س - لا س ولا س + لاس\n(۳) ۶(لا - ۹) و ۱۵(لا + ۲۷) (۴) ۱۲(آ - آب ج) و۲۰(آ ب ج + آب ج)\n(۵) م ن - ۲ م ن + م ن و (م ن - م ن) (۶) ۴آلا - ۹ولا و ۴ولا + ۶ولا\n(۷) ۸آب - ۳۲آب و ۸آب + ۲۴آب\n(۸) ۹لاس - ۳۶لاس و ۲۴لاس - ۴۸لاس\n(۹) ۶آب - ۲۴آب و ۴آب + ۳۲آب\n(۱۰) ۴۸آآ(لا + لا) (لا آ - لا آ) و ۶۴(لاآ - لاآ) (لاآ + لاآ)\n(۱۱) ۲۴(لا - آ) و۴۰(لا + لا آ + آ) (۱۲) ۵۶(لا آ - لاآ) و ۷۲(لاآ + ۳ ولا + ۲ ولا)","chars":883,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00216.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/adl0258/216","canvas":"https://afghanpress.org/iiif/adl0258/canvas/216","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."}}