{"book":"adl0709","page":56,"text":"٥٤\n\nتنبيه : — در مثال فوق ؛ چون مقسوم عليه\n۱۰ آدم است يعنى عدد معين است . بخيال ؛\nچنين ميرسد كه متعارفه اول ؛ مجروح شد .\nخير ؛ مجروح نشد . چرا كه مراد ؛ پورتقال را\n۱۰ حصه كردن است . لهذا مقسوم عليه ؛\nآدم نميباشد بلكه ۱۰ عدد مطلق ميباشد .\nلازمه : — عدد مرتبه هاى خارج قسمت را\nقبل از تقسيم ؛ دانستن موجب استفاده است .\nبقرار ذيل ؛ تعيين كرده ميشود :\n\nمثلا : ٣٧٨٩٦ ÷ ٢٤٣\n\nخارج قسمت ؛ عبارت از چنين عدد است كه\nوقتيكه به مقسوم عليه ضرب شود حاصل ضرب ؛\nمساوى باشد به مقسوم .\n\nدرين مثال : مقسوم چون ٥ مرتبه است\nبايد مقسوم عليه به ۱۰۰ ضرب شود . اگر\nضرب كنيم :\n\n٢٤٣ × ١٠٠ = ٢٤٣٠٠ ميشود . مگر\nحاصل ضرب ؛ مساوى به مقسوم نشد يعنى :","chars":617,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00056.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/adl0709/56","canvas":"https://afghanpress.org/iiif/adl0709/canvas/56","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."}}