{"book":"adl0131","page":209,"text":"مساحت\n۱۹۸\nکتاب\n\nواگر در جواب زیاده تر صحت منظور نباشد پس عدد ۳/۱۴۱۵۹۲۶\nمراتب کسور عشاریه موافق ضرورت در عمل آرید.\n(۱۶۱) رقبه دایره معلوم است نصف قطر دائره مذکور را دریافت کنید\nقاعده\nرقبه را بر ۲۲/۷ تقسیم کنید و خارج قسمت را جذر بکشید واگر در جواب\nزیاده صحت منظور دارید پس رقبه مذکور را بر ۳/۱۴۱۶ تقسیم کرده\nخارج قسمت را جذر بکشید حاصل جذر نصف قطر مطلوب خواهد بود.\n(۱۶۲) تمثیلات\n(۱) رقبه دائره ۱۰۰ مربع فث است نصف قطر رقبه مذکور را معلوم کنید.\n۱۰۰ ÷ ۲۲/۷ = ۱۰۰ × ۷/۲۲ = ۷۰۰/۲۲ = ۳۱٫۸۱۸ جذر ۳۱٫۸۱۸ = ۵٫۶۴\nپس نصف قطر دائره تقریبا ۵٫۶۴ فث جواب مطلوب است.\n(۲) رقبه دائره یک ایکیڑست پس نصف قطر دائره مذکور را دریافت کنید\nدر یک ایکیڑ ۴۸۴۰ مربع گز میباشند.\n۴۸۴۰","chars":653,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00209.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/209","canvas":"https://afghanpress.org/iiif/adl0131/canvas/209","source":"https://afghanistandl.nyu.edu/books/adl0131/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0131_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."}}