{"book":"adl0946","page":317,"text":"۳۱۰\nاستفاده می کنیم.\n۲ عا ۳ - تبصره - حل مسائل فوق معلوم می کنید که اگر\nبیش از سه خط مفروض باشد غالباً ممکن نیست دائره بر تمام\nآنها مماس کرد زیرا دائرۀ که بر سه تای آن ها مماس باشد\nممکن است بر چهارمی مماس نگردد .\nهر گاه نتائج فوق را با نتائج ۱۹۸ و ۱۹۹ و ۲۰۰ نزدیک\nکنیم می بینیم که هرگاه یک نقطه از دائره یا یک مماس مفروض\nباشد دائرۀ مطلوبه غیر معین است و هر گاه دو نقطه از دائره یا\nدو مماس مفروض باشد مرکز دائرۀ دائرۀ مطلوبه دارای یک\nمکان هندسی است و هرگاه سه نقطه یا سه مماس مفروض\nباشد در یک حالت یک جواب و در حالت دیگر چهار\nجواب دارد و هرگاه بیش از سه نقطه یا بیشتر از سه مماس\nمفروض باشد مسئله بکلی غیر ممکن است .","chars":614,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00317.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/adl0946/317","canvas":"https://afghanpress.org/iiif/adl0946/canvas/317","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."}}