{"book":"adl0946","page":158,"text":"۱۵۱\nمجموع دو زاویه ۱ و ۲ از دو قائمه کوچک تر باشد مجموع دو\nزاویه دیگر یعنی ۳ و ۴ از دو قائمه بزرگتر خواهد گردید.\nپس همیشه یکی ازین دو مجموع بزرگتر از دو قائمه است.\nحال فرض می کنیم که مجموع دو زاویه ۱ و ۲ بزرگتر\nاز دو قائمه باشند.\nپس زاویه ۲ بزرگتر از مکمل زاویه ۱ است و اگر نیم\nخطی مانند م ه رسم کنیم بقسمی که دو زاویه ۱ ن م و ن م ه\nمکمل یک دیگر شوند این خط در درون زاویه ۲ واقعه شده\nعلاوه بر آن با آن نیز موازی خواهد بود (۱۸۶)\nدو نیم خط ن و و م د که در دو طرف م ه واقع شده\nاند نمی توانند یک دیگر را تقاطع کنند ولی دو امتداد اشان تو\nوم د یک دیگر را قطع خواهند کرد پس خاصیت ذیل را که\nمشهور بمطلب اقلیدس است بیان میکنیم:\n۱۸۸- مطلب اقلیدس- هرگاه دو خط را خط\nثالثی قطع کند بقسمی که با آنها زوایای داخلی","chars":698,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00158.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/adl0946/158","canvas":"https://afghanpress.org/iiif/adl0946/canvas/158","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."}}