{"book":"adl0946","page":254,"text":"۲۴۷\nپس این دو مثلث مساوی میگردند و دو ضلع ج و د ان نیز با هم\nمساوی می گردند و شکل مفروض متوازی الاضلاع است.\nپس میتوانیم بگوائیم .\nقضیه - هر گاه در ذو اربعة اضلاع محدبی\nدو ضلع مقابل با هم مساوی و موازی باشند ان\nشکل متوازی الاضلاع است .\n۲۸۲ - مسئله - خواص نقطهٔ مشترکه دو قطر را\nتحقیق کنید.\nمتوازی الاضلاع\nا ج د ن مفروض است\nدو قطر ا د د ج ن یک\nدیگر را در نقطه ه قطع میکنند\nس ۱۹۸\n(س ۱۹۸) از توازی اضلاع دو زاویه ا ن ج و ن ج د چون\nمتبادله داخله اند با هم مساویند و بهمین دلیل دو زاویه ا د ج\nو د ا ن نیز با هم مساویند میباشند از طرف دیگر دو ضلع ا ن","chars":543,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00254.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/adl0946/254","canvas":"https://afghanpress.org/iiif/adl0946/canvas/254","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."}}