{"book":"adl0258","page":104,"text":"۹۹\nوحاصل ضرب -ب = - اً ب + ا ب۲ + ب۳\n.: حاصل ضرب = اً۳ - ۳ اً ب + ب۳\nتنبیه - تشریح عمل فوق\nاولاً مضروب ومضروب فیه نظر بقولی متناقصه تنظیم شده\nزیر یکدیگر نوشته وتحت آن یک خط عرضی کشیده شده است بعد\nاز ان حاصل ضرب هر حد مضروب فیه در کل حدود مضروب اینطور\nنوشته شده که حدود مشابهه زیر حدود مشابهه وحدود غیر مشابهه جدا\nمیباشند و بعد از ضرب حد اخیر مضروب فیه در تحت آن یک خط عرضی\nکشیده شده است وبعد از ان همه سطور عمودی جمع شده اند-\nمثال ۲ ۳اً۲ - ۳ لا - ۵ الا را در - ۳ لا + ۳ اً + ۵ الا ضرب کنید\nاول مضروب ومضروب فیه هر دو را نظر بقولی متزایده لاً تنظیم کنید\nپس مضروب = ۳ اً۲ - ۵ ا لا - ۳ لاً\nمضروب فیه = ۳ اً + ۵ ا لا - ۳ لاً\n۹ اً۳ - ۱۵ اً۲ لا - ۹ اً لاً\n+ ۱۵ اً۲ لا - ۲۵ اً لاً - ۱۵ ا لاً۲\n- ۹ اً لاً + ۱۵ ا لاً۲ + ۹ لاً۳\nحاصل ضرب = ۹ اً۳ - ۳۴ اً لاً + ۹ لاً۳","chars":755,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00104.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/adl0258/104","canvas":"https://afghanpress.org/iiif/adl0258/canvas/104","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."}}