{"book":"adl0258","page":226,"text":"۲۲۱\n(۱۸) م۴+۳م۳+۷م۲+۹م+۸ و ۶م۴+۵م۳+۱۳م۲+۷م+۱۲\n(۱۹) ۲لآ-۱۹لآ+۲۱لا-۶ ولآ+۲۱لآ+۳لا-۶\n(۲۰) ۱۲لآ۳-۳۰لآ۲+۱۲۶لا+۹۰ و ۱۵لآ-۲۵لآ+۱۲۵لا-۷۵\n(۲۱) ۸للا۴+۱۱لآ۳+۱۶۲لآ۲+۷لا+۹ و ۱۲للا۴+۲۸لآ۳+۲۷لآ۲+۱۰۸لا+۲۰\n(۲۲) لآ-۵لآ+۶لا+۱۲ ولآ-۸لآ-۲۴لا-۳۲\n(۲۳) لآ+۵لآ+۳لآ-۴الا-۴۰ ولآ-۴لآ+۲۵لا+۷۵\n(۲۴) ۴لآ۴-۸لآ۳+۲۸لآ۲-۴۴لآ+۳۲ و ۶لآ۴+۴لآ۳-۱۲لآ۲-۳۴لآ+۹۶ و آ\n(۲۵) ۹لآ-۸الآی-۱۳الآی۲-۴۸لآسی-۱۲ی۲ و ۶لآ+۳لآی+۵لآسی+۴لآسی۲+۸سی۴\n(۲۶) ۲لآ-۱۱لآ-۹ و ۳لآ+۱۱لآ+۸\n(۲۷) ۳م۴+۱۰م۳-۲۰م۲-۱۱۲م+۳۰ و ۶م۴+۱۰م۳-۲۵م۲+۲۵م-۱۵۰\n(۲۸) لآ+۲لآ-۵لآ-۷لا+۳ و ۳لآ-۳لآ-۸الآ+لآ+۳لا+۳\n۵۸ چند قاعده دیگر در باب معلوم کردن قاسم مشترک اعظم جملها جبرئیه\nفرض کنید که ا و ب دو جمله جبریه است و نیز فرض کنید که ا و ب هیچجمله\nذوحد واحد مضروب مشترک ندارد پس اگر م ون وط و ق اینقسم چهار عدد باشند\nکه م وق-ن ط صفر نباشد پس در انصورت قاسم مشترک اعظم ا و ب بعینه قاسم\nمشترک اعظم م ا+ن ب و ط ا+ق ب میباشد بشرط اینکه مضروبات مشترک\nعددی قبل از عمل جدا شوند- و دلیل قواعد سابقه بقرار ذیل است:-\nفرض کنید که ع قاسم مشترک اعظم ا و ب و ع قاسم مشترک اعظم م ا+ن ب","chars":968,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00226.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/adl0258/226","canvas":"https://afghanpress.org/iiif/adl0258/canvas/226","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."}}