{"book":"adl0258","page":178,"text":"۱۷۳\nو بقرار فوق ثابت شده میتواند که لا-ا یکی از مضروبات لا-ا ولا-ا ولا-ا\nو غیره میباشد پس لا-ا دائماً یکی از مضروبات لا-ا خواهد بود بشرط انکه\nن عدد صحیح باشد پس ظاهر است که برای همه قیمتهای ن که مثبت\nوصحیح باشند لا-ا بر لا-ا بدون باقی تقسیم شده میتواند -\nباز چون لا+ا = (لا-ا)+٢ او یک حصه ازین یعنی لا-ا بر لا-ا\nبدون باقی تقسیم شده میتواند لیکن ٢ ا بدون باقی تقسیم نمیشود -\n:: لا+ا بر لا-ا بدون باقی تقسیم شده نمیتواند-\nپس اگر ن عدد مثبت و صحیح باشد\nلا-ا دائماً لا-ا را بدون باقی تقسیم میکند }.... (١)\nلیکن لا+ا را هرگز بدون باقی تقسیم کرده نمیتواند\nنتیجه لا+ا در انوقت لا-ا را بدون باقی تقسیم کرده میتواند که ن عدد\nصحیح و جفت باشد-\nزیرا که اگر ن جفت باشد (ا)=او ::لا-ا = لا- (ا)\nوچون ن طاق باشد (ا)=-ا و :: لا-ا = لا+(ا)\nو نیز لا+ا = لا- (-ا)\nاشارت این امر از روی قانون اشارات ظاهر است مثلاً (-ا) = ا\n::(ا) =(-ا)*(-ا)=-ا و (ا) = (-ا) * (-ا) * (-ا) = ا\nهذا القياس يعنی بقرار زوج يا فرد بودن قوت طاقت قولی (-ا) مثبت یا منفی میباشد","chars":929,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00178.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/adl0258/178","canvas":"https://afghanpress.org/iiif/adl0258/canvas/178","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."}}