{"book":"adl0258","page":64,"text":"۵۹\nآن مقدار را که از یک مقدار دیگر تفریق یا منها شود مفروق میگویند\nو آن مقدار را که ازان کدام مقدار دیگر تفریق شود مفروق منه و باقی را\nفرق یا حاصل تفریق مثلاً اگر ا - ب = ج باشد ا مفروق منه است\nو ب مفروق و ج فرق یا حاصل تفریق\n۳۴- مفهوم تفریق یک مقدار مثبت همانست که مفهوم جمع آنمقدار\nمنفی میباشد که قیمت مطلق آن مقدار منفی مساوی قیمت مقدار\nمثبت مذکور است و نیز مفهوم تفریق یک مقدار منفی همانا\nکه مفهوم جمع آن مقدار مثبت میباشد که قیمت مطلق آنمقدار\nمساوی قیمت مطلق مقدار منفی مذکور است -\nچونکه ۳ + ۴ = ۷ لہذا ۷ - ۳ = ۴ = ۷ + (-۳) باز چونکه ۶ + (-۲) = ۴\nلہذا ۴ - ۶ = -۲ = ۴ + (-۶) لہذا دائماً ا - ب = ا + (-ب)\nمفهوم تفریق یک مقدار مثبت همانست که مفهوم جمع آن مقدار منفی\nمیباشد که قیمت مطلق آن مقدار منفی مساوی قیمت مطلق مقدار مثبت\nمذکور است -","chars":740,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00064.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/adl0258/64","canvas":"https://afghanpress.org/iiif/adl0258/canvas/64","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."}}