{"book":"adl0709","page":26,"text":"٢٤\nاز دو مثال فوق ؛ چنین ظاهر شد که\nضرب ؛ عبارت از عملیات جمع است .\nمگر عدد ها را زیر بزیر نوشته کرده جمع\nنمودن چون خیلی صبر و زمان میخواهد\nلهذا قاعدة ذیل که بسیار آسان است\nاختراع نموده نامش را ( ضرب )\nگفته اند .\n٥٧ - در نظریة ضرب یعنی در قاعدة ضرب ؛\n٤ حال تصور کرده میشود .\nحال اول : - مضروب و مضروب\nفیه ؛ اعداد طبیعیه باشند یعنی هر یکی از\nمضروب ها ؛ خرد تر از ١٠ باشند .\nدر حال مذکور ؛ حاصل ضرب\nبواسطة عملیات جمع پیدا میشود . مگر\nبرای اینکه آسان گردد میباید که حاصل\nضرب همه اعداد طبیعیه یعنی حاصل ضرب\nعدد هائیکه يك رقم داشته باشند حفظ\nکرده شود . برای مدعای مذکور بقرار","chars":570,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00026.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/adl0709/26","canvas":"https://afghanpress.org/iiif/adl0709/canvas/26","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."}}