{"book":"adl0258","page":267,"text":"٢٦٢\n\n(٢١) قیمت جمله ذیل معلوم کنید لا+٢ و - لا -٢ و ٣ اگر لا = ١-ب / ١+ب\n(٢٢) ثابت کنید که لا+١ / ١-ب + لا+ج / لا-ج = ٣ - ٦ وب ج / (لا-١)(لا-ب)(لاج)\nوقتیکه لا = ٢ (١ ب + ب ج + ج ١) / ١ + ب + ج\n(٢٣) اگر لا = ١ب+ب ج+ج ١ / ١+ب+ج ثابت کنید که لا+١ / لا-١ + ب+٢لا / ب-٢لا + ج+٢لا / ج-٢لا = ٣+ ٦ ا ب ج / (ا-٢لا)(ب-٢لا)(ج-٢لا)\n(٢٤) قیمت جمله ذیل را معلوم کنید لا٢ - (ب+ج) لا / (لا-ب)(لا-ج) + لا٢ -(ج+ا) لا / (لا-ج)(لا-ا)\n+ لا٢ -(ا+ب) لا / (لا-ا)(لا-ب) اگر لا = ٣ ا ب ج / ا ب + ب ج + ج ا\n(٢٥) قیمت لا٢-ی٢+لا / ی٢-لا+ی را معلوم کنید اگر لا = ا-ب / ا+ب و ی = ا+ب / ا-ب باشد\n(٢٦) قیمت لا٣+اوب لا٢-ا١٢ب٢ لا+٢ا٣ب + ب٣ / لا٣+٢ ا ب لا٢+ ١٠ا٢ب٢ لا+ ٣ ا٣ب +ب٣ معلوم کنید اگر لا= ا٢+ب٢ / ا٢-ب٢\n(٢٧) قیمت لای +٣ (لا٢-ی) ١ ب - ٨ ا ب٢ / ی٤ + ٩ اوب ی٢+١٨ ا٢ب٢ × ا٢-ب٢ / ا٢+ب٢ را معلوم کنید-\nاگر لا= ١+ب و ی = ١-ب باشد\n(٢٨) قیمت لا٣+اوب لا٢-٢ا٢ب٢ / لا٢ ی٢ + (لا٢+٢ی٢) ا٢ب+٢ا٢ب٢ - ١٢+اوب+ب٢ / ١٢+اوب+ب٢ معلوم کنید\nاگر لا= ١+ب و ی = ١-ب باشد\n(٢٩) لا٢ / لا+١ + لا / لا٢-١ - ١ / لا٢-١ را مختصر کنید:-\n(٣٠) لا٢-(١-ب)٢ / (لا+ب)٢-١٢ + ١٢-(لا-ب)٢ / (لا+١)٢-ب٢ + ب٢-(لا-١)٢ / (١+ب)٢-لا٢ را مختصر کنید","chars":1068,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00267.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/adl0258/267","canvas":"https://afghanpress.org/iiif/adl0258/canvas/267","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."}}