{"book":"adl0946","page":129,"text":"۱۲۲\nمن بعد هر وقت طول عمود بگوئیم مقصودمان طول قطعه\nخط ه ا است و نیز هر وقت طول مائل را نام ببریم مقصود\nمان طول قطعه خط های ه ج و ه د می باشد .\n۱۵۹- عدم تساوی عمود و مائل ۔ ابتدائی بیینیم\nکه طول عمود ه ا و طول مائل ه ج با هم مساوی نیستند\nش۱۲۰ زیرا که اگر\nمساوی بودند لازم\nمی آمد که مثلث ج ه ا\nمتساوی الساقین\nباشد و خطی که نقطه ه\nرا بوسط ج و وصل نماید ارتفاع آن می گردد و آن وقت\nدو خط عمود از یک نقطه بر خطی فرود آورده ایم و این محال\nاست .\n۱۶۰- مسئله - میخواهیم خط عمود را با یک خط\nمائل مقایسه کنیم .","chars":499,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00129.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/adl0946/129","canvas":"https://afghanpress.org/iiif/adl0946/canvas/129","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."}}