{"book":"adl0709","page":42,"text":"٤٠\n\nنتیجه : - يك عددرا که به صفر ؛ ضرب\nکنیم حاصل ضرب ؛ صفر میشود .\nچرا که : صفر ؛ عبارت از حاصل طرح\nيك عدد از نفس خود میباشد .\nمثلا : ٥ × ٠ = ٠ میشود .\nزیرا :\nصفر = مثلا : ( ٣ – ٣ ) میباشد .\nاین را که به پنج ضرب کنیم : ٥ (٣ – ٣)\nاین هم :\n٣ - ٣\n٣ - ٣\n٣ - ٣\n٣ - ٣\n٣ - ٣\n٠ = ١٥ – ١٥ = ٣ × ٥ – ٣ × ٥\nمیشود .","chars":303,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00042.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/adl0709/42","canvas":"https://afghanpress.org/iiif/adl0709/canvas/42","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."}}