{"book":"adl0290","page":96,"text":"علم حساب ۱۰\n۸۹\n۴۷- ترکیب مختصر دریافت\nنمودن مربع اعداد\nاگر در عددِ مفروض دو هندسه با شد هندسۀ\nیکن را با عدد مذکور جمع کنید و نیز هندسۀ یکن را\nاز عدد مفروض تفریق نمائید و هر دو ماحصل یعنی\nحاصل جمع و حاصل تفریق را با هم ضرب نموده\nبر حاصل ضرب مربع هندسۀ یکن را زیادہ کنید\nمثلاً فرض کنید که مربع ۴۷ مطلوب است\n۵۴ = ۷ + ۴۷\n۴۰ = ۷ - ۴۷ دهم در دهم دلار دهم دار\n۲۱۶۰ = ۴۰ × ۵۴ برویم دار کنتم باغ لهم دار\n۴۹ = ۲(۷)\n۴۹ + ۲۱۶۰ = ۲(۴۷) ∴\n= ۲۲۰۹ جواب\nاگر عدد مفروض بر سه یا زیاده از سه هندسه مشتمل\nباشد دو یا زیاده هندسه های اوّل را مانند یک هندسه\nتصور کرده طریق فوق را به عمل آورید - فرض","chars":574,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00096.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/96","canvas":"https://afghanpress.org/iiif/adl0290/canvas/96","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."}}