{"book":"adl0946","page":48,"text":"۴۱\n\nجمع تغییر نمی کند هرگاه عده زوایا را تغییر دهیم یعنی زیاد یا کم کنیم\nپس این مطلب را چنین بیان می کنیم :\nقضیه - مجموع زوایائیکه پی در پی با یکدیگر\nمجاورند و تمام سطح را می پوشانند مساوی است\nبا چهار قائمه .\n۵۴ - زوایای محدب - زوایای مقعّر - دو زاویه مساوی\nبا هم مثلاً ۴۵ درجه رسم می کنیم (س ره و س ۵) و مانند شکل ها\nشور می زنیم در س ره در\nقسمت هاشور زده می توان\n۴۵ زاویهٔ یک درجه پی در پی\nمجاور قرار داد که آخرین اضلاع\nآنها ج ، و ج ا باشند سر ۵\nو در قسمت هاشور زده س ره می توان از ا ، شروع کرده\n۳۶۰ - ۴۵ = ۳۱۵\nزاویهٔ یک درجه پی در پی مجاور قرار داد که آخرین ضلع آن","chars":566,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00048.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/adl0946/48","canvas":"https://afghanpress.org/iiif/adl0946/canvas/48","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."}}