{"book":"adl0131","page":165,"text":"کتاب\n۱۵۴\nمساحت\n\n۳ گز = ۹ فٹ و ۴ فٹ ۶ انچ = ۴ ۱/۲ فٹ\n۹ × ۴ ۱/۲ = ۹ × ۹/۲ = ۸۱/۲ و ۱/۲ × ۸۱/۲ = ۸۱/۴ = ۲۰ ۱/۴\nپس رقبهٔ مثلث ۲۰ ۱/۴ مربع فٹ است۔\n(۴۰) قاعدۂ یک مثلث ۷۵ فٹ به ارتفاع ۳۶ فٹ است رقبهٔ\nمثلث مذکور را دریافت کنید۔\nنصف ۳۶ ۱۸ است :: ۷۵ × ۱۸ = ۱۰ ام پس رقبهٔ مثلث\nمذکور ۱۰ ام مربع فٹ مطلوب است۔\n(۴۱) اگر رقبهٔ مثلث و دو امتدادهای مثلث یعنی از قاعده\nو ارتفاع یکی اوشان معلوم باشد پس دیگر را دریافت کرده میتوانیم\nچرا که اگر دو چند رقبه را بر ارتفاع تقسیم کنیم پس خارج قسمت قاعده\nمطلوب خواهد بود۔ و اگر دو چند رقبه بر قاعده تقسیم کنیم پس\nخارج قسمت ارتفاع مطلوب خواهد بود۔\n(۴۲) اگر هر سه اضلاع مثلث معلوم باشند پس رقبهٔ مثلث\nمذکور را","chars":633,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00165.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/165","canvas":"https://afghanpress.org/iiif/adl0131/canvas/165","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."}}