{"book":"adl0709","page":32,"text":"۳۰\n\nضرب اصلی پیدا میشود .\n٦٠ - حال ٤ : - مضروب و مضروب فيه ؛\nهر دو مرکب باشند یعنی هر دو ؛ بسیار\nرقم دار باشد .\nمثلا : ٦٤٩ X ٤٣٨٧\nدرین مثال ؛ مضروب فيه عبارت\nاز مجموع : ٦٠٠ + ٤٠ + ٩\nمیباشد .\n\nپس ؛ حاصل ضرب مطلوب عبارت از\n٦٠٠ کره ٤٣٨٧ و\n٤٠ کره ٤٣٨٧ و\n٩ کره ٤٣٨٧ میباشد . یعنی\nاگر اینها را ضرب کرده حاصل ضرب\nجزئی های شان را جمع کنیم حاصل ضرب\nکلی یعنی حاصل ضرب اصلی پیدا میشود .\nحال آنکه قاعدۀ ضرب نمودن ٦٠٠\nو ٤٠ و ٩ بهمراه ٤٣٨٧ در\n۳ حال سابق دیده شد .","chars":449,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00032.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/adl0709/32","canvas":"https://afghanpress.org/iiif/adl0709/canvas/32","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."}}