{"book":"adl0946","page":100,"text":"۹۳\n\nچون نقطۂ ک روی خط ل هم است پس نقطۀ متناظره\nاش روی ل واقع خواهد شد بعبارت اخری لازم می آید\nکه دو خط متمائز ل و لَ دو نقطه مشترک داشته باشند\nو این محال است. درین جا فرض اینکه خط ل از نقطۂ ه\nمرور نکند لازم است زیرا که آن وقت نقطۂ ل از ه متمائز\nبوده متناظرش ل با خودش بر روی هم واقع نمی\nشوند پس\nدو خط متناظرۀ ل و لَ یکدیگر را قطع نمی کنند\n۱۲۰- تعریف - دو خط واقعۀ در یک سطح که\nیک دیگر را تلاقی نمی کنند با هم موازی‌ند.\nباید دانست که از عدم تلاقی مقصود ما نه فقط آنست\nکه قسمتهای مرسومه در سطح یک دیگر را تلاقی نمی کنند بلکه\nهر قدر آن ها را از طرفین امتداد دهیم یک دیگر را قطع\nننمایند.\n۱۲۱- از کلیه آنچه مذکور شد نتائج ذیل را","chars":623,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00100.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/adl0946/100","canvas":"https://afghanpress.org/iiif/adl0946/canvas/100","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."}}