{"book":"adl0709","page":54,"text":"٥٢\nچنين يك عدد تام اعظم پيدا كنيم كه وقتيكه بهمراه مقسوم عليه ضرب شود حاصل ضرب از مقسوم ؛ قابل طرح باشد . پيدا كردن عدد تام اعظم را ( تقسيم ) مینامند .\nنتيجه : — از تعريفات فوق ؛ چنین فهمیده میشود كه خارج قسمت را با مقسوم عليه ؛ ضرب كرده بهمراه باقی اگر جمع كنيم حاصل جمع به مقسوم بايد كه مساوی باشد . وباقی ؛ از مقسوم عليه دائما اصغر است !\nمتعارفه ۱ : — چون خارج قسمت ؛ عبارت از یکی از پارچه های مقسوم است لهذا از جنس مقسوم میباشد . باقی نیز از جنس مقسوم است . پس :\nمقسوم ؛ يك عدد معين ؛ و مقسوم عليه يك عدد مطلق است .\nمتعارفۀ ٢ : — هرگاه يك عدد را بردیگر عدد ؛ تقسيم نمودن ممكن نباشد مقسوم را به جزو اصغر خود تحویل نمودن لازم است .","chars":633,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00054.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/adl0709/54","canvas":"https://afghanpress.org/iiif/adl0709/canvas/54","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."}}