{"book":"adl0946","page":164,"text":"۱۵۷\n۱۹۳ - عکس قضیه ۱۸۶ - دیدیم که هرگاه زوایائیکه\nدو خط با خط ثالثی تشکیل میدهند دو بدو مساوی یا مکمل\nهم باشند آن دو خط باهم موازی اند.\nعکس این\nقضایا نیز صحیح است\nزیرا که از یک نقطه\nبیش از یک موازی\nبا خط مفروضی نمی\nتوان رسم کرد مثلاً (س ۱۶۳) هرگاه دو خط ا د وج م باهم\nموازی باشند خط ل ن دو زاویه داخله در یک طرف خط\nومکمل تشکیل می دهد اگر این زوایا با هم مکمل نباشند لازم\nمی آید که آن دو خط یک دیگر را قطع کنند (ع۱۸) .\nاز روی ملاحظات ۱۶۴ بسهولت می فهمیم که زوایای\nمتناوبه داخلی و متناوبه خارجی ومتقارنه نیز با هم مساویند\nپس.","chars":523,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00164.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/adl0946/164","canvas":"https://afghanpress.org/iiif/adl0946/canvas/164","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."}}