{"book":"adl0946","page":186,"text":"۱۷۹\n\nاز ونتائج میباشد.\n۲۱۹ - قضایای عکس - عکس قضایای فوق بسهولت\nبر ما ثابت میشود.\nمثلاً هرگاه دو وتر غیر مساوی باشند لازم می آید که قسی\nمقابل به آنها نیز غیر مساوی باشند زیرا که اگر مساوی باشند\nلازم می آید که قسی نیز با هم مساوی باشند و این خلاف فرض\nاست.\nو نیز در این حالت وتر بزرگتر مقابل بقوس بزرگتر است\nزیرا که اگر بر عکس باشد لازم می آید که وتر بزرگتر کوچک تر باشد\nو این نیز خلاف فرض است پس می گوئیم.\nقضایای عکس - در يك دائره یا دو دائره مساویه\nاولاً - هر گاه دو وتر با هم مساوی باشند دو قوس\nمقابل بآنها نیز مساویند.\nثانیاً - هرگاه دو وتر با هم غیر مساوی باشند دو قوس\nمقابل بآنها هم غیر مساویند و قوس بزرگتر","chars":611,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00186.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/adl0946/186","canvas":"https://afghanpress.org/iiif/adl0946/canvas/186","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."}}