{"book":"adl0946","page":76,"text":"۶۹\n\nبر روی هم واقع شدند البته زوایای مقابل به آن با هم بر\nروی هم واقع میگردند پس\nبا هم مساوی اند.\nثانیاً - اگر ابتدا فرض\nکنیم که زوایا با هم مساوی\nاند به همان طریق ممکن است\nآن ها را بواسطه دوران\nبدور نقطه ه بر هم منطبق\nنمود پس چون قوس ها\nهم بر روی هم واقع می شوند مساوی اند.\nاز مطالب فوق قضایای ذیل نتیجه می شوند.\nقضیه - قوس های مساوی از يك دائره زوایای\nمرکزی مساوی جدا میکنند.\nقضیه - زوایای مرکزی مساوی در يك دائره\nمقابل به قتی مساوی اند.","chars":439,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00076.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/adl0946/76","canvas":"https://afghanpress.org/iiif/adl0946/canvas/76","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."}}