{"book":"adl0946","page":171,"text":"۱۴۴\n\nبر روی محور تناظر قطعه خط ج د واقع است و همچنین دائره که\nبر دو نقطه ج و د عبور کند مرکزش بر روی محور تناظر قطعه خط\nج د خواهد بود.\nچون دو قطعه خط ا ج و ج د همدیگر را قطع کرده اند پس دو\nمحور تناظر آنها هم که بطور نقطه چین نموده شده اند یک دیگر\nرا در نقطه ه قطع خواهند بود (۱۹۶) پس نقطه ه مرکز دائره\nمطلوب است که از سه نقطه ا و ج و د خواهد گذشت در اینجا\nمی بینیم که مسئله بیش از یک جواب ندارد زیرا که هر نقطه\nدیگری غیر از ه از سه نقطه ا و ج و د بیک فاصله نخواهد بود\nپس مرکز دائره مطلوبه نیست و از اینجا معلوم می شود که اگر\nبقاعده دیگری بتوانیم مرکز دائره مطلوبه را پیدا کنیم آن نقطه\nبر روی نقطه ه خواهد افتاد پس می گوئیم:\nقضیه - بوسه نقطه غیر واقعه بر استقامت\nيك خط هموار میتوان يك دائره عبور داد و\nبیش از يك دائره ممکن نیست .","chars":728,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00171.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/adl0946/171","canvas":"https://afghanpress.org/iiif/adl0946/canvas/171","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."}}