{"book":"adl0946","page":278,"text":"۲۷۱\n\n٣۰٦- مسئله - يك زاویه داخلی را با زوایای\nمرکزی و محاطی که همان قوس را از دائره جدا\nمینمایند مقایسه کنید.\nفرض می کنیم ل یک زاویه\nداخلی باشد (ش ٢٢٠) که دو قوس\nو ح و اَ جَ را از دائره جدا\nمی نماید برای اندازه گرفتن آن\nزاویه کافی است که زاویه محاطی\nمساویش را اندازه بگیریم از نقطه وَ وتر وَ حَ را بموازات جَ حَ\nرسم می کنیم زاویه اَ مساوی با زاویه ل است حال میگو یم اندازه\nزاویه وَ نصف قوس و جَ است ولی این قوس مجموع دو قوس\nوَ حَ و جَ حَ می باشد (٢٩٤) پس می توانیم بگوئیم -\nقضیه - هر زاویه داخلی مساوی است با نصف\nمجموع دو زاویه مرکزی که همان قوسها را از دائره\nجدا میکند.","chars":570,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00278.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/adl0946/278","canvas":"https://afghanpress.org/iiif/adl0946/canvas/278","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."}}