{"book":"adl0946","page":43,"text":"۳۶\n\nمعلوم کردن این مسئله خیلی آسان است زیرا که آن دو زاویه\nرا که در مجاورت یک دیگر قرار میدهیم اگر مکمل هم باشند مجموع آنها\n۱۸۰ درجه است و آن وقت (ع ۴) اضلاع خارجی آنها بر\nاستقامت یک خطند و اگر مکمل هم نباشند اضلاع خارجی\nآنها بر استقامت یک خط نخواهند بود ازین روی می توان\nگفت :\n\nهرگاه دو زاویه مجاور مکمل یکدیگر باشند\nاضلاع خارجی انها بر استقامت يك خطند.\n\n۴۷- تعریف و قضیه- درینجا در بیان دو مطلب فوق\nقدری تامل می کنیم زیرا که آن ها مطالب جدیدی را که کشف\nکرده ایم بیان می کنند این طور بیانات را قضیه می گویند ولی\nباید قضیه را از تعریف مجری نمود زیرا که تعریف باشی جدیدی\nرا می شناساند (ع۳۰ تعریف زاویه) در صورتی که قضیه را\nنتیجه است که از امتحان دقیق شکل معینی بدست می آوریم و\nاین امتحان خاصیت جدیدی از آن شکل را بر ما معلوم مینماید.","chars":732,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00043.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/adl0946/43","canvas":"https://afghanpress.org/iiif/adl0946/canvas/43","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."}}