{"book":"adl0258","page":163,"text":"۱۵۸\n۶۷ قاعده اشارت تقسیم\nچون ا × (- ب) = - ا ب\nبموجب تعریف فقره ۶۵ ( - ا ب ) ÷ ا = - ب } ....(۱)\n( - ا ب ) ÷ ( - ب ) = ا\nو چون (- ا ) × (- ب) = ا ب\n∴ ا ب ÷ (- ا ) = - ب } .........(۲)\nو ا ب ÷ (- ب) = - ا\nو نیز ا ب ÷ ا = ب }\nا ب ÷ ب = ا\nپس از ۱ و ۲ و ۳ قاعده ذیل اخذ میشود:-\nهرگاه مقسوم و مقسوم علیه متحد الاشارت باشند خارج قسمت مثبت\nو هرگاه مختلف الاشارت باشد خارج قسمت منفی خواهد بود یعنی از اشارت\nمشابهه + و از اشارت غیر مشابهه - پیدا میشود چنانچه در ضرب نیز همین قاعده جاریست\n۶۸ تقسیم یک جمله مفرد بر جمله مفرد دیگر\nبرای معلوم نمودن قاعده تقسیم یک جمله مفرد بر جمله دیگر اینصورتهای\nذیل ملاحظه شود:-\n(۱) چون ۳ ا۲ ب × ۵ ا۳ ب۲ ج = ۱۵ ا۵ ب۳ ج\nلهذا (۱۵ ا۵ ب۳ ج) ÷ (۵ ا۳ ب۲ ج) = ۳ ا۲ ب\nپس اگر مقسوم = ۱۵ ا۵ ب۳ ج\n= ۳ × ۵ × ا۲ × ا۳ × ب × ب۲ × ج } ....(۱)\nو مقسوم علیه = ۵ ا۳ ب۲ ج\nخارج قسمت = ۳ ا۲ ب","chars":793,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00163.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/adl0258/163","canvas":"https://afghanpress.org/iiif/adl0258/canvas/163","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."}}