{"book":"adl0946","page":59,"text":"۵۲\nدو زاویۀ ه ل ج و ه ل ج که بر هم منطبق می شوند مساوی\nاند - علاوه بران باهم مجاورند ولی قائمہ نیستند زیرا که اضلاع\nخارجی آنها بر استقامت یک خط نیستند .\nفقط نقطۀ ج طوری است که دو زاویۀ ه ج ل و ه ج ل\nقائمہ هستند پس معلوم شود که از نقطۀ ه پیش از یک خط\nعمود بر ا د نمیتوان رسم کرد - پس می گوئیم :\nقضیہ - از نقطۀ واقعۀ در خارج خطی بیش از\nيك خط عمود بران نمیتوان رسم نمود.\n۶۷ - ترسیم شکل با گونیا مانند ع۶ بیش از یک طریقہ\nنداشت بنابر این بر ما معلوم کرده بود که نمی توان پیش از یک\nعمود رسم کرد بعد ها خواهیم دید که بعضی اسباب های دیگر موجود\nکه بوسیلۀ آنها هم از نقطۀ واقعۀ در خارج خطی می توان خطی\nبران عمود نمود از روی امتحانات بعد دانستیم که تمام نتائج آنها\nیکی خواهد بود ازینجا اختلاف بین تجربہ و تحقیقات علمی معلوم میشود.\n۶۸ - تعریف - وقتیکه دو خط بدون آنکہ عمود باشند","chars":766,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00059.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/adl0946/59","canvas":"https://afghanpress.org/iiif/adl0946/canvas/59","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."}}