{"book":"adl0131","page":58,"text":"کتاب ۴۷ مساحت\n\nحاصل ضرب ۲۲۵ = ۷ × ۳۵ اینچ / ۲\nجذر ۲۲۵ اینچ\nضلع مطلوب ۱۵،۱۶۵ اینچ جواب مطلوب است\n\n۱۵،۱۶۵\n۲۲۵،۰۰۰۰\n۱\n۱۲۵\n۲۰۵ ۲\n۳۰۱/ ۲۰۰۰\n۱۸۳۹\n۳۱۳۵/ ۱۶۱۰۰\n۱۵۶۲۵\n۴۷۵\n\n(۲) وتر ۲۱۷ گز و یک ضلع ۳،۱۴ فُٹ اند پس ضلع دیگر را دریافت کنید\n\n۲۱۷ گز = ۸۱۱ فُٹ\nمجموعهٔ وتر و ضلع معلوم ۸۱۱ + ۳۱۴ = ۱۱۱۵\nفرق وتر و ضلع معلوم ۸۱۱ - ۳۱۴ = ۴۱۷\nحاصل ضرب ۱۱۱۵ × ۴۱۷ = ۵۲۱۰۵\nجذر ۵۲۱۰۵ =\n\n۸۱۱ فُٹ ۴، ۳۱ فُٹ\n۱۲۵،۷۲ فُٹ ضلع مطلوب است\n۲۲۵،۷۲\n۵۲۱۰۵،۰۰\n۴\n۴۲/ ۱۲۱\n۸۴\n۴۴۵/ ۳۷۰۵\n۲۲۲۵\n۴۸۹۵/ ۶۹۰۰\n۵۳۴۸\n۷۵۵\n\nضلع مطلوب ۷۲۵، فُٹ جواب مطلوب است -\n\n۶۵ - (۱) چند تمثیلات می نویسیم که حل آنها بر قواعد مذکور بالا منحصر اند\n\n(۲) یک ضلع مثلث قائم الزاویه ۴۰۸ فُٹ است و مجموعهٔ وتر و ضلع دیگر ۵۷۸ فُٹ است پس وتر و ضلع مثلث قائم الزاویه را دریافت کنید","chars":704,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00058.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/58","canvas":"https://afghanpress.org/iiif/adl0131/canvas/58","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."}}