{"book":"adl0946","page":279,"text":"۲۷۲\n۳۰۷ - هرگاه دو قوس ا ج و اَ جَ بدرجه و دقیقه و ثانیه\nاندازه گرفته شده باشند\nاندازه زاویهٔ داخلی ل\nنصف مجموع آنها است.\n۳۰۸- زوایای\nخارجی- فرض میکنیم ل\nیک زاویه خارجی باشد\n(ش۲۲۱) از نقطه خط ا حَ\nرا بموازات ح حَ رسم میکنیم زاویه محاطی تشکیل می شود\nکه مساوی با زاویه ل است اندازه زاویهٔ نصف اندازه زاویهٔ\nمرکزی است که مقابل به قوس ا جَ باشد ولی این قوس مساوی\nاست با تفاضل دو قوس ا ج و اَ جَ است زیرا که ا ح =\nح جَ پس می توانیم بگوئیم-\nقضیه- هر زاویهٔ خارجی مساوی است با نصف\nتفاضل دو زاویهٔ مرکزی که همان قوس های اثر دائره","chars":521,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00279.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/adl0946/279","canvas":"https://afghanpress.org/iiif/adl0946/canvas/279","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."}}