{"book":"adl0946","page":44,"text":"۳۷\n\n۶۸ - فرض و مستنبط - حال برمیگردیم به قضیه ع۴ در آنجا\nزوایای مجاوره را تحصیل می نمائیم ولی آنها زوایای غیرمعین\nنیستند زیرا که اضلاع خارجی آنها بر استقامت یک خطند\nاین مسئله را فرض می نامیم ۔ همین که این فرض را کردیم از آن\nاستنباط می نمائیم که آنها مکمل یک دیگرند پس می توان نتیجه\nع۴ را چنین بنویسیم .\nقضیه ۔ گفتگو ما بر سر زوایای مجاوره است.\nفرض: اضلاع خارجی آنها بر استقامت یک خطند .\nمستنبط ۔ آنها مکمل یک دیگرند.\nبهمین طریق نتیجه ع۶ این طور نوشته می شود.\nقضیه ۔ گفتگو ما بر سر زوایای مجاوره است.\nفرض - آنها مکمل یک دیگرند .\nمستنبط- اضلاع خارجی آنها بر استقامت یک خطند.\n۶۹ - قضایای معکوسه - از دو مثال فوق بر ما معلوم\nمی شود که آن دو قضیه روابط زیادی با هم دارند زیرا که فرض یکی","chars":681,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00044.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/adl0946/44","canvas":"https://afghanpress.org/iiif/adl0946/canvas/44","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."}}