{"book":"adl0258","page":205,"text":"٢٠٠\nبعد از ملاحظه معلوم میشود که جمله مفروضه باینچنین دو حصه منقسم شده میتواند\nکه هر حصه بر لا-١ بدو طریق ذیل بدون باقى تقسیم میشود:-\n(١)لا (لآ-٢لا+١)-٦(لا-١) (٢)لآ(لا-١) ٤لا(لا-١)-٦(لا-١)\nپس بطریق اول لآ-٣لآ- ٥لا+٦=لا(لا-١)-٦(لا-١)\n=(لا-١) {لا (لا-١) - ٦}\n=(لا-١)(لآ-لا-٦)\n=(لا-١)(لا-٣)(لا+٢)\nتنبیه درین مثال نیز اگر لا=١ یا ٣ و یا -٢ باشد قیمت جمله معروضه صفر خواهد بود\nپس ظاهر است که هرگاه در یک جمله جبریه اِ بجای لا نوشته شود\nو قیمت جمله صفر باشد در انصورت لا-١ یک مضروب جمله مذکور میباشد\nو مثال ذیل بقرار اصول فوق حل میشود:-\nمثال ٥لآ+لآ-٢١لا-٣٨ را بمضروبات تفریق کنید:-\nبعد از امتحان معلوم میشود که اگر -٢ بجای لا نوشته شود جمله مفروضه صفر میباشد\nلهذا لا+٢ یک مضروب جمله مفروضه خواهد بود\n.٠. لآ+لآ-٢١لا-٣٨=لآ(لا+٢)-لا(لا+٢)-١٩(لا+٢)\n=(لا+٢)(لآ-لا-١٩)\nمثال ٦٨لآ+١٦لا-٩ را بمضروبات تفریق کنید\nظاهر است که جمله مفروضه باینچنین دو حصه منقسم شده میتواند که هر حصه آن\nبر ٢لا-١ بدو طریق ذیل بدون باقى تقسیم میشود:-","chars":913,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00205.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/adl0258/205","canvas":"https://afghanpress.org/iiif/adl0258/canvas/205","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."}}