{"book":"adl0290","page":97,"text":"علم حساب -۱\n۹۰\n\nفرض کنید که مربع ۳۴۶ مطلوب است\n۳۹۲ = ۴۶ + ۳۴۶\n۳۰۰ = ۴۶ - ۳۴۶\n۱۱۷۶۰۰ = ۳۰۰ × ۳۹۲\n۴۶۲ = (۴۶ + ۳۰۰) × (۴۶ - ۳۴۶) + ۲۴۶\n∴ ۴۶۲ = ۵۲ × ۴۰ + ۳۶\n= ۲۰۸۰ + ۳۶\n= ۲۱۱۶\n∴ مربع مطلوب = ۱۱۷۶۰۰ + ۲۱۱۶ = ۱۱۹۷۱۶\n\nامثله نمبر ۱۷\nضرب اعداد ذیل را بواسطه اجزائی که زیاده\nاز ۲۰ نباشد معلوم کنید:-\n(۱) ۲۸ در ۲۴ (۲) ۸۰۲۵ در ۲۴\n(۳) ۵۴۹۳ در ۷۲ (۴) ۹۲۱ در ۱۴۴\n(۵) ۸۷۲ در ۲۸۰ (۶) ۲۴۷ در ۱۲۸\nدر امثله ذیل حاصل ضرب دریافت کنید\nلاکن عمل از دو سطر زیاده نباشد:-\n(۷) ۶۹۲۵ × ۳۲۸ (۸) ۸۲۵ × ۷۲۹","chars":473,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00097.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/97","canvas":"https://afghanpress.org/iiif/adl0290/canvas/97","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."}}