{"book":"adl0946","page":124,"text":"۱۱۷\n\nخواص آن را معلوم کنیم .\nفرض می کنیم (ش ۱۱۶) ا ج د مثلثی باشد که محور تناظر\nا ه را قبول میکند - پس لازم می آید\nکه دو راس ج و د نسبت به ا ه\nمتناظر باشند.\nحال اگر این شکل را بدور ا ه\nتا کنیم ا د بر ا ج منطبق می شود\nو چنین معلوم می شود که مثلث\nمفروض متساوی الساقین و دو\nضلع ا د و ا ج با هم مساوی اند\nپس میگوئیم : ش ۱۱۷\nقضیه عکس ۱۴ - هر گاه مثلثی محور تناظری\nکه از یکی یک راسش گذشته باشد قبول کند متساوی\nالساقین است و دو ضلع مساوی ازان رأس\nخارج شده اند .","chars":454,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00124.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/adl0946/124","canvas":"https://afghanpress.org/iiif/adl0946/canvas/124","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."}}