{"book":"adl0131","page":184,"text":"کتاب ۱۷۳ مساحت\n\n۷/۱۲ × ۷ = ۴۲ مربع فث است و در مثال دوم مجموعه عمودها ۵/۵ گز اس\nپس رقبه ۵/۵ × ۸۸ = ۲۴۲۰ است یعنی رقبه مطلوب = ۲۴۲۰\nمربع گز است\n(۱۴۸) وقتیکه وترهای ذواربعة الاضلاع یکدیگر را بر زاویه ها\nقائمه قطع کنند پس قاعده رقبه در ذیل است -\nقاعده\nنصف حاصل ضرب هر دو وترها رقبه مطلوب خواهد بود -\nثبوت قاعده مذکور از روی شکل بدیهی است - فرض کنید که\nالف ب ج د شکل ذواربعة الاضلاع است و الف ج و ب د وتر\nقائمه ها بر زاویه ها تقاطع کنند م و ان\nو فرضا نقطه تقاطع وترهای ج ی ا\nمذکوری است و از نقاط الف د ب ب\nو ج متوازی ب د و از نقاط","chars":526,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00184.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/184","canvas":"https://afghanpress.org/iiif/adl0131/canvas/184","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."}}