{"book":"adl0946","page":314,"text":"۳۰۷\nو بہمین طریق ثابت می کنیم که نقطهٔ ه روی منصف داخلی\nزاویهٔ ج و منصف های خارجی دو زاویهٔ ا و د می باشد.\n۳۳۹ - دو منصف خارجی - دو منصف ح و د\nرا ملاحظه می کنیم بدواً مانند نمرهٔ سابق ثابت می کنیم که نقطهٔ\nه ممکن نیست در زاویهٔ متقابل براس زاویهٔ ا از مثلث باشد\nزاویهٔ ح د ه مساوی است با ج - ۹۰\nو زاویهٔ د ح ه مساوی است با ح - ۹۰\nو چون این دو زاویه را با هم جمع کنیم چنین می شود\nد + ح - ۱۸۰\nپس مجموع این دو زاویه از ۱۸۰ کمتر است و از روی\nمطلب اقلیدس نقطه ه در همان طرف ضلع د ح واقع است\nکه مثلث مفروض رسم گردیده است.\nاز آنچه گفتیم چنین نتیجه می شود که نقطهٔ ه مرکز دائرهٔ\nایست که در زاویهٔ ا محاط شده باشد.\nولی چون نقطه ه از سه ضلع مثلث بیک فاصله است","chars":649,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00314.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/adl0946/314","canvas":"https://afghanpress.org/iiif/adl0946/canvas/314","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."}}