{"book":"adl0258","page":129,"text":"۱۲۴\nامثله (۲۶)\nمکعب جملہای ذیل را معلوم کنید :-\n(۱) ۱-۲ا\t(۲) ۲-۳لا\t(۳) ۳-۴لا\n(۴) ۵م-۴ن\t(۵) ۲ط-۵ق\t(۶) ۲لا-ی-۶\n(۷) ۲م-۳ن-ط\t(۸) ل-م-ن\nجملہای ذیل را حل کنید :-\n(۹) (ا+۲ب)۳-۳(ا+۲ب)۲(ا-۲ب)+۳(ا+۲ب)(ا-۲ب)۲-(ا-۲ب)۳\n(۱۰) (۳لا-۸ی)۳-(۳لا-۷ی)۳-۳(۳لا-۸ی) (۳لا-۷ی) (لا-ی)\n(۱۱) (۵لا-۸)۳-(۳لا-۸)۳-۶لا(۵لا-۸)(۳لا-۸)\nقیمت عددی جملہای ذیل را معلوم کنید :-\n(۱۲) م۳-۱۲م۲ن+۴۸من۲-۶۴ن۳\tاگرم= ۱۲ ون= ۳\n(۱۳) ۲۷ا۳-۱۳۵ا۲+۲۲۵ا -۱۲۵\tاگرا= ۴\n(۱۴) ۸-۱۹ا+۲۷ا۲-۲۷ا۳\tاگرا= ۳\n(۱۵) ۲۱۶-۴۴ا لا+۱۰۸لا۲-۲۷لا۳\tاگر لا= ۳\n(۱۶) اگر ا - ۱/ا = ۳ باشد قیمت عددی ا۳-(۱/ا۳) را معلوم کنید\n(۱۷) اگر ج - ۱/ج = ۵ باشد قیمت عددی ج۳-(۱/ج۳) را معلوم کنید\n(۱۸) اگر لا- ی = ۳ باشد ثابت کنید که لا۳-ی۳- ۹لا ی = ۲۷\n(۱۹) اگر ط-۲ق = ۴ باشد ثابت کنید که ط۳-۸ق۳-۲۴ ط ق= ۶۴\n(۲۰) اگر ۲ا-۳ب = ۵ باشد ثابت کنید که ۸ا۳-۲۷ب۳-۹۰ اب= ۱۲۵","chars":764,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00129.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/adl0258/129","canvas":"https://afghanpress.org/iiif/adl0258/canvas/129","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."}}