{"book":"adl0946","page":125,"text":"۱۱۸\n۱۵۲- حال عکس قضیهٔ ۱۴۹ را امتحان می کنیم.\nمیخواهیم خواص مثلثی را که دارای دو زاویهٔ\nمساویست معلوم کنیم.\nفرض می کنیم ا ج د مثلثی باشد که در ان ج = دَ\n(س ۱۱۱ ) .\nضلع ج د محور تناظر ه ل را که بر وسطش در نقطهٔ ه\nعمود است قبول می کند حال اگر شکل را در امتداد محور\nه ل تا کنیم نقطهٔ ج بر روی نقطهٔ د و ج ه بر روی ه د\nواقع می گردد چون دو زاویهٔ جَ و دَ مساویند ضلع\nج ا هم بر روی ضلع د ا می افتد پس این دو خط نسبت\nبه ه ل متناظره اند و ازان چنین نتیجه می شود که آن ها\nدر روی ه ل همدیگر را قطع می کنند ( ۱۳۶ ) و با یک دیگر\nمساوی اند زیرا که بر روی هم واقع شده اند پس میگوئیم.\nدوّیم قضیه عکس ۱۴۹ - اگر مثلثی دارای دو\nزاویهٔ مساوی باشد اضلاع مقابل بآن دو زاویه","chars":652,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00125.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/adl0946/125","canvas":"https://afghanpress.org/iiif/adl0946/canvas/125","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."}}