{"book":"adl0258","page":45,"text":"۴۰\nبنابرین علی العموم (+ ا) + (+ ب) = + (ا + ب) یا اختصارا (ا)\n+ (ب) = ا + ب پس هرگاه دو مقدار مثبت جمع کرده شوند مجموع\nآنها یک مقدار مثبت میباشد که قیمت مطلق آن برابر مجموع قیمت های\nمطلق مقادیر مذکور میباشد\n۲۸ - حاصل جمع یک مقدار منفی با مقدار منفی دیگر\nفرض کنید که در شکل فوق و اَ = ۲ میل و اَبَ = ۳ میل است و اینکه\nاَ طرف چپ و است و بَ طرف چپ اَ چنانکه در شکل ظاهر است\nپس و اَ را - ۲ و اَ بَ را - ۳ تعبیر خواهد کرد\nپس اگر یک شخص از و روانه شده به اَ در یک ساعت و از اَ تابَ\nدر یک ساعت دیگر برسد ظاهر است که آنشخص در دو ساعت\nمذکور مسافت و بَ یعنے - ۵ میل را طی کرده است؟\nپس چونکه مسافت طی شده ساعت اول) + (مسافت طی شده\nساعت دوم) = (مسافت طی شده در دو ساعت مذکور میباشد)\nلهذا (-۲) + (-۳) = - ۵ پس علی العموم (- ا ) + (- ب) =\n-(ا + ب) لهذا هرگاه دو مقدار منفی جمع کرده شود مجموع آنها مقدار منفی میبا","chars":799,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00045.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/adl0258/45","canvas":"https://afghanpress.org/iiif/adl0258/canvas/45","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."}}