{"book":"adl0946","page":154,"text":"۱۴۷\nبین دو خط ۱ و́ و ح ج واقع اند موسومند بزواياى دخله\nو چهار زاویهٔ دیگر ۲ و ۳ و ۷ و ۸ را زوایاى خارجه مینامند\nدو زاویهٔ داخلى ۱ و ۶ كه در دو طرف و و́ واقعند\nو غير مجاوند موسومند بزواياى متناوبه داخله و دو\nزاویهٔ ۴ و ۵ نیز متناوبه داخله میباشند .\nدو زاویهٔ خارجى ۳ و ۸ را كه در دو طرف و و́ واقع\nو غیر مجاورند زوایای متناوبه خارجه می نامند دو\nزاویه ۲ و ۷ نیز متناوبه خارجه می باشند .\nدو زاویهٔ غير مجاوره را که یکی خارجی و دیگری داخلی و\nدر یک طرف و و́ باشد زوایای متقارنه می گویند .\nمثلاً دو زاویهٔ ۲ و ۵ و دو زاویهٔ ۱ و ۸ و دو زاویهٔ ۴ و ۷\nو دو زاویهٔ ۳ و ۶ با هم متقارنه اند .\n۱۸۵ - حال به ۱۸۳ برمی گردیم تساوى دو زاویهٔ\nمتقارنه و́ ن ل و ج د́ ل برای اثبات موازی بودن\nآن خطوط کافی است پس چنین بیان می کنیم .","chars":708,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00154.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/adl0946/154","canvas":"https://afghanpress.org/iiif/adl0946/canvas/154","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."}}