{"book":"adl0946","page":152,"text":"۱۴۵\nدو خط در کنار ضلع غیر مجاور بزاویه قائمه رسم کنیم (سو ۱۳۳ )\nچون گونیا و ستاره را برداریم س ۱۳ بدست می آید دو\nزاویه و ن ل ر ج د ل با هم مساویند زیرا که هر دو یک\nزاویه گونیا هستند (س ۱۳۵) .\nحال ثابت\nمی کنیم که دو خط\nاو و ج ح با هم\nموازیند زیرا که\n(م۱۷۹) آن نسبت\nبه نقطه ه وسط\nدن متناظرند دو\nزاویه ل د ج\nبا زاویه ج د ل چون متقابل براست با آن مساوی است\nبنابر این با زاویه و ن ل مساوی است .\nحال اگر ه ل و ح ح را بقدر ۱۸۰ درجه بدور نقطه ه\nمو ۱۳۵\nل\nد\nه\nن\nو\nج\nم\nل\nح\nو\nز\nی\nر\nا\nک\nه\nس\nه\nر\nد\nو\nی\nک\nز\nا\nو\nی\nه\nگ\nو\nن\nی\nا\nه\nس\nت\nن\nد\n(\nس\n۱\n۳\n۵\n)\n.\nح\nا\nل\nث\nا\nب\nت\nم\nی\nک\nن\nی\nم\nک\nه\nد\nو\nخ\nط\nا\nو\nو\nج\nح\nب\nا\nه\nم\nم\nو\nا\nز\nی\nن\nد\nز\nی\nر\nا\nک\nه\n(\nم\n۱\n۷\n۹\n)\nآ\nن\nن\nس\nب\nت\nب\nه\nن\nق\nط\nه\nه\nو\nس\nط\nد\nن\nم\nت\nن\nا\nظ\nر\nن\nد\nد\nو\nز\nا\nو\nی\nه\nل\nد\nج\nب\nا\nز\nا\nو\nی\nه\nج\nد\nل\nچ\nو\nن\nم\nت\nق\nا\nب\nل\nب\nر\nا\nس\nت\nب\nا\nآ\nن\nم\nس\nا\nو\nی\nا\nس\nت\nب\nن\nا\nب\nر\nا\nی\nن\nب\nا\nز\nا\nو\nی\nه\nو\nن\nل\nم\nس\nا\nو\nی\nا\nس\nت\n.\nح\nا\nل\nا\nگ\nر\nه\nل\nو\nح\nح\nر\nا\nب\nق\nد\nر\n۱\n۸\n۰\nد\nر\nج\nه\nب\nد\nو\nر\nن\nق\nط\nه\nه","chars":891,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00152.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/adl0946/152","canvas":"https://afghanpress.org/iiif/adl0946/canvas/152","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."}}