{"book":"adl0258","page":85,"text":"پس اگر دو عدد صحیح و متحدالاشاره در یکدیگر ضرب شود حاصل ضرب مثبت خواهد بود\nو نیز اگر دو عدد صحیح و مختلف الاشاره در یکدیگر ضرب شود حاصل ضرب منفی خواهد بود\nو همین قاعده در ضرب کسور نیز جاری میباشد مثلاً چون ٢/٣- = ١/٣-٢\nیعنے چون -٢/٣ بدو دفعه تفریق حصه سوم یک واحد حاصل میشود لهذا\nحاصل ضرب لادر-٢/٣ بدو دفعه تفریق حصه سوم لا حاصل خواهد شد\nبنابرین (-٢/٣) × لا = -لا/٣ -لا/٣ = -٢لا/٣\nهمچنین (-٢/٣) × ٤/٥ = -٤/١٥ -٤/١٥ = -٨/١٥\nو (-٢/٣) × (-٤/٥) = -(-٤/١٥) -(-٤/١٥)\n= +٤/١٥ +٤/١٥ = ٨/١٥ و علیٰ ہذا القیاس\nپس قاعده اشارات بطور وضاحت حسب ذیل خواهد بود:-\nاگر اشارات مضروب و مضروب فیه متحد باشند حاصل ضرب مثبت خواهد بود\nو اگر اشارات مضروب و مضروب فیه مختلف باشند حاصل منفی خواهد بود\nنتیجه چونکه (-لا) × (-لا) = لا٢ و نیز (+لا) × (+لا) = لا٢\nلہٰذا لا٢\\ = لا+- پس ظاهر است که هر جمله جبریه دو جذر مربع دارد که قیمت\nمطلق انها با هم مساوی و اشارات آنها مختلف میباشند-","chars":854,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00085.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/adl0258/85","canvas":"https://afghanpress.org/iiif/adl0258/canvas/85","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."}}