{"book":"adl0709","page":57,"text":"٥٥\n\n٣٧٨٩٦ > ٢٤٣٠٠ آمد . پس معلوم شد که خارج قسمت از ١٠٠ اعظم است .\nاکنون مقسوم علیه را یعنی عدد ٢٤٣ را به ١٠٠٠ ضرب کنیم . حاصل ضرب ٢٤٣٠٠٠ میشود . مگر اینسفر از مقسوم ؛ زیاده تر شد یعنی :\n٢٤٣٠٠٠ > ٣٧٨٩٦ آمد . پس معلوم شد که خارج قسمت از ١٠٠٠ اصغر است .\nاز ٢ مناقشه فوق ؛ چنین ظاهر و ثابت شد که خارج قسمت مطلوب ؛ از ١٠٠ اعظم و از ١٠٠٠ اصغر است . حال آنکه عددیکه مابین ١٠٠ و ١٠٠٠ محصور باشد ٣ مرتبه داشته میباشد .\nپس ؛ برای تعیین عدد مراتب خارج قسمت میباید که پیشروی مقسوم علیه آنقدر صفر بمانیم که مرتبه های مقسوم علیه بقدر مرتبه های مقسوم گردد . درین اثنا هرگاه مقسوم علیه در مقسوم ؛ داخل باشد عدد مرتبه های خارج قسمت ؛ يك زیاده تر از صفر هائیکه مانده شد میباشد . و اگر","chars":667,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00057.jpg","first_page":1,"last_page":61,"title":"Prūghrām-i ʻilm-i ḥisāb barā-yi shāgirdān-i makātib-i ʻaskarīyah Maḥmu Sāmī پروغرام علم حساب براى شاگردان مکاتب عسکرية","permalink":"https://afghanpress.org/book/adl0709/57","canvas":"https://afghanpress.org/iiif/adl0709/canvas/57","source":"https://afghanistandl.nyu.edu/books/adl0709/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0709_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."}}