{"book":"adl0946","page":127,"text":"۱۲۰\n\nعمود بر محور تناظر واقع شده اند با یکدیگر متناظر اند و مثلث\nمحور تناظر اه را قبول می نماید پس متساوی الساقین است\n(۱۵۱) و می گوئیم :\nقضیه ـ اگر در مثلثی منصف يك زاويه ارتفاع\nمثلث هم باشد آن مثلث متساوی الساقین\nاست .\n۱۵۵ - برای سائر امثله شاگردان باید به مسئله ۱۲\nرجوع کنند .\n۱۵۶ - مثلث متساوی الاضلاع ـ کلیه آنچه را\nکه در باب مثلث متساوی الساقین مذکور داشتیم در مثلث\nمتساوی الاضلاع نیز صدق می کند ولی در آنجا با هر\nدو ضلع می توان استدلال نمود زیرا که تمام اضلاع آن\nبا هم مساویند - پس\nمثلث متساوی الاضلاع دارای سه محور\nتناظر است و منصف الزوايا ميانه ها و ارتفاعات","chars":566,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00127.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/adl0946/127","canvas":"https://afghanpress.org/iiif/adl0946/canvas/127","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."}}