{"book":"adl0946","page":273,"text":"۲۶۶\n\nدرجه است هرگاه زاویه محاطی\nدر دست باشد زاویه مرکزی مقابل\nآنرا بسهولت میتوان بدست\nآورده چون اندازه گرفتن زاویه\nمرکزی بسیار آسان است بنابرین\nاندازه زاویه محاطی را نیز بواسطه آن معلوم می کنیم-\n۳۰۰- مسئله- زاویه محاطی ۱ را با زاویه مرکزی\nمقابلش مقایسه کنید-\nابتدا فرض می کنیم یکی از اضلاع زاویه قطر دائره باشد (ش ۲۱۳)\nاز نقطه ۱ به ه وصل می کنیم مثلث ۱ ح ه متساوی الساقین\nاست زیرا که دو ضلع ه ح و ه ۱ دو شعاع یک دائره اند و زاویه\nمرکزی ۱ ه د زاویه خارجی مثلث\nاست و مساوی است با مجموع\nدو زاویه داخلی غیر مجاور مثلث یعنی\nزاویه ۱ و ح و چون این دو زاویه","chars":549,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00273.jpg","first_page":1,"last_page":327,"title":"Handasah-ʼi musaṭṭaḥah barā-yi ṣinf-i haftum-i makātib-i rushdīyah, bi-qarār-i prūghram-i Vizārat-i Jalīlah-ʼi Muʻārif-i Afghānistān هندسۀ مسطحه :هندسۀ مسطحه","permalink":"https://afghanpress.org/book/adl0946/273","canvas":"https://afghanpress.org/iiif/adl0946/canvas/273","source":"https://afghanistandl.nyu.edu/books/adl0946/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0946_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."}}