{"book":"adl0258","page":166,"text":"۱۶۱\n۶۹ تقسیم جمله ذو حدود کثیره برجمله ذو حد واحد\nبحکم نتیجه ۳ فقره ۴۶\nا (ب + ج) + د + ی + ف + ....) = اب + اج + اد + ای + اف +...\nلهذا (ا ب + ا ج + ا د + ا ی + ....) ÷ ا = ب + ج + د + ی + ... =\n= (ا ب ÷ ا) + (ا ج ÷ ا) + (ا د ÷ ا) + (ا ی ÷ ا) + ...\nپس قاعده تقسیم ذو حدود کثیره بر ذو حد واحد این است\nکه هر حد ذو حدود کثیره بر مقسوم علیه تقسیم شود\nو مجموع این خارج قسمتها جزوی خارج قسمت مطلوب میباشد\nمثال ۱ ۴ لا۴ - ۶ لا۳ + ۱۰ لا۲ را بر - ۲ لا تقسیم کنید\nخارج قسمت مطلوب = ۴ لا۴ - ۶ لا۳ + ۱۰ لا۲ / - ۲ لا\n= ۴ لا۴ / - ۲ لا + - ۶ لا۳ / - ۲ لا + ۱۰ لا۲ / - ۲ لا\n= - ۲ لا۳ + ۳ لا۲ - ۵ لا\nمثال ۲ ۹ لا۵ - ۴ لا۴ - ۲ لا۲ را بر ۳ لا۲ تقسیم کنید\nخارج قسمت مطلوب = ۹ لا۵ - ۴ لا۴ - ۲ لا۲ / ۳ لا۲\n= ۹ لا۵ / ۳ لا۲ + - ۴ لا۴ / ۳ لا۲ + - ۲ لا۲ / ۳ لا۲\n= ۳ لا۳ - ۴ / ۳ لا۲ - ۲ / ۳","chars":761,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00166.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/adl0258/166","canvas":"https://afghanpress.org/iiif/adl0258/canvas/166","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."}}