{"book":"adl0290","page":268,"text":"علم حساب ۲۶۱\n\n۴۴ × ۵ = ۲۲۰ (زیرا که ۵۲۸ = ۴۴)\n۱۲ ۵۲۸ ۴۴ × ۱۲\n۳۳ × ۹ = ۲۹۷ (زیرا که ۵۲۸ = ۳۳)\n۱۶ ۵۲۸ ۳۳ × ۱۶\n۲۴ × ۱۱ = ۲۶۴ (زیرا که ۵۲۸ = ۲۴)\n۲۴ ۵۲۸ ۲۴ × ۲۴\n۱۶ × ۱۷ = ۲۷۲ (زیرا که ۵۲۸ = ۱۶)\n۳۳ ۵۲۸ ۱۶ × ۳۳\n\nپس کسر هائیکه مخرج آنها متحد است حسب\nذیل میباشند :-\n\n۲۲۰ و ۲۹۷ و ۲۶۴ و ۲۷۲\n۵۲۸ ۵۲۸ ۵۲۸ ۵۲۸\n\nامثله نمبر ۶۳\nکسور ذیل را به این چنین کسور تحویل کنید\nکه مخرج امثله حتی الامکان اقل و متحد باشد :-\n\n(۱) ۱/۲ و ۵/۸ (۲) ۳/۱۰ و ۷/۱۵\n(۳) ۷/۱۶ و ۳/۲۰ (۴) ۱/۴ و ۱/۳ و ۱/۵\n(۵) ۲/۳ و ۳/۴ و ۵/۶ (۶) ۵/۶ و ۷/۹ و ۶/۸\n(۷) ۳/۸ و ۷/۹ و ۵/۱۲ (۸) ۸/۱۵ و ۷/۱۸ و ۲۱/۳۰\n(۹) ۵/۱۶ و ۷/۲۴ و ۱۱/۴۰ (۱۰) ۲/۱۵ و ۳/۲۰ و ۱/۱۰۰\n(۱۱) ۲۱/۵۰ و ۷/۶۰ و ۸۱/۹۰ (۱۲) ۱/۲۵ و ۲/۳۵ و ۳/۶۰\n(۱۳) ۱/۳ و ۳/۴ و ۱/۶\n(۱۴) ۲ و ۱/۴ و ۱/۸ (۱۵) ۳ و ۵ و ۷/۱۲","chars":704,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00268.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/268","canvas":"https://afghanpress.org/iiif/adl0290/canvas/268","source":"https://afghanistandl.nyu.edu/books/adl0290/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0290_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."}}