{"book":"adl0131","page":169,"text":"کتاب\n۱۵۸\nمساحت\n\nکه از نقطه د بالای ی ج کشیده شود (چه خواه از طرف بیرون\nباشد یا اندرون) پس نقطه د حجه است و مثلث ی د ج\nرا سقف سلام میگویند. رقبه سطح قائم الزاویه الف ب ج ی\n۳۰ × ۲۴ مربع فث یا ۷۲۰ مربع فث است.\nو مثلث ی د ج ۱۰ × ۲۴ × ۱/۲ مربع فث است پس رقبه کل دبه\n۸۴۰ مربع فث مطلوب است.\n(۲) یک ضلع مثلث متساوی الاضلاع یک فث است\nرقبه مثلث مذکور را دریافت کنید.\nنصف مجموعه اضلاع ۳/۲ است و ۳/۲ - ۱ = ۱/۲ و ۳/۲ × ۱/۲ × ۱/۲ و\n× ۱/۲ = ۳/۱۶ پس در رقبه تعداد مربع فث ها جذر ۳/۱۶ یعنی\n۱/۴ جذر ۳ است بطرز دیگر که در دفعه (۶۵) بیان کرده شد که\nکه ارتفاع مثلث متساوی الاضلاع وقتیکه ضلع مثلث مذکور\nیک باشد نصف جذر ۳ است پس بموجب دفعه (۱۳۹)\nرقبه آن","chars":630,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00169.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/169","canvas":"https://afghanpress.org/iiif/adl0131/canvas/169","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."}}