{"book":"adl0946","page":234,"text":"۲۲۷\n\nباشد.\nپس لازم است چنین داشته باشیم.\n۱ < ۲ + ۳ > ۳ - ۲\n(در اینجا مقصود از اعداد اضلاع مفروضه است)\n۲ کوچک تر یا اکثراً مساوی با است (ابتدائی\n۲۶۲) پس ۳ - ۲ حتماً کوچک تر از ۱ می باشد و فقط\n۳ + ۲ > ۱ باقی می ماند.\nپس معلوم شد که هرگاه مجموع دو ضلع اصغر بزرگتر باشد\nاز ضلع اعظم مسئله همواره ممکن است و مثلث بدون این شرط\nوجود نخواهد داشت.\nچون ضلع اعظم کوچک تر از مجموع دو ضلع اصغر است.\nپس بطریق اولی ضلعی که بزرگترین ضلع مثلث نباشد از مجموع\nدو ضلع دیگر کوچک تر خواهد بود.\nپس چنین بیان می کنیم.\nقضیه - هر ضلع مثلث کوچکتر است از مجموع","chars":531,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00234.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/adl0946/234","canvas":"https://afghanpress.org/iiif/adl0946/canvas/234","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."}}