{"book":"adl0946","page":163,"text":"۱۵۶\n\nاین محال است.\nثانیاً - اگر ل ن موازی با ا د باشد (س۱۴۲) آن وقت دو\nخط ج م و ل ن که هر دو با ا د موازی هستند خود شان\nنیز با هم موازی خواهند بود زیرا که اگر موازی نباشند.\nیک دیگر را قطع خواهند نمود آن وقت لازم می آید که از نقطهٔ\nتقاطع آن ها دو خط بموازات خط ا د رسم شده\nباشد و این محال است پس حتماً با هم موازیند و چنین\nمی گوئیم :\nقضیه - اگر دو خط با هم موازی باشند هر\nخط که یکی ن ل\nاز آنها م م\nرا قطع کند د ا\nدیگری را\nهم قطع خواهد نمود هر گاه دو خط با خط ثالثی\nموازی باشند با هم موازیند.","chars":490,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00163.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/adl0946/163","canvas":"https://afghanpress.org/iiif/adl0946/canvas/163","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."}}