{"book":"adl0946","page":296,"text":"۲۸۹\n\nبواسطه تناظر دو مماس اح و ا ح تساوی های ذیل\nنتیجه می شود.\nه ا ح = ه ا ح ح ه ا = ح ه ا ح ا = ا ح\nپس چنین بیان میکنیم.\nقضیه - از هر نقطه واقعه در خارج دائره همواره\nمیتوان بر ان دائره دو مماس رسم نمود دو قطعه خطی\nکه بین دو نقطه تماس و نقطه مفروضه واقع اند با هم\nمساویند.\nخطی که نقطه مفروضه را بمرکز دائره وصل\nمیکند منصف زاویه ایست که از تقاطع دو مماس\nتشکیل میشود و همچنین منصف زاویه ایست\nکه از دو شعاع دو نقطه تماس حاصل می گردد.\n۳۲۳- مسئله - بر دائره مماسی موازی با خط\nمفروضی رسم کنید.\n۳۳۱ دائره ه و خط مفروض ل را نشان می دهد برود","chars":532,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00296.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/adl0946/296","canvas":"https://afghanpress.org/iiif/adl0946/canvas/296","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."}}