{"book":"adl0946","page":46,"text":"۳۹\nل ه م و د ه ل و ل ه د بدست می‌آید که متواتراً بک یک دیگر مجاورند و مجموع شان زاویۀ مخصوص ا ه ج ه ل یا ۱۸۰ درجه است\nسر ۴۷\nواضح است که مجموع آنها تغییر نمیکند هر قدر عده نیم خط ها را زیاد یا کم کنیم پس ازین دو قضیّۀ ذیل حاصل می‌شود :\nقضیّه - مجموع زوایائیکه دو بدو با هم مجاورند و آخرین دو ضلع آنها بر استقامت يك خط است مساوی است با دو زاویۀ قائمه :\n۵۲ - حال یک نیم خط ه ل را ملاحظه می کنیم (س ۴۸) و فرض می کنیم که ۸۰ ازاویۀ مجاوره با یک دیگر از رأس ه رسم شده باشد که ضلع اول آنها ه ل باشد می دانیم که آخرین ضلع آنها ه د در امتداد ه ل واقع خواهد شد حال اگر باز هم از نیم خط\nسر ۴۸","chars":580,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00046.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/adl0946/46","canvas":"https://afghanpress.org/iiif/adl0946/canvas/46","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."}}