{"book":"adl0709","page":37,"text":"٣٥\n\nباشند (مضروبات کثیره) نامیده میشوند . مثلا :\n٩ × ١٢ × ٧ × ٥ × ٣\nاز مثال مذکور چنین معلوم میشود که\nاول ٣ به ٥ ضرب میشود و حاصل ضرب به ٧\nو حاصل ضرب آنها به ١٢ و حاصل ضرب\nآنها به ٩ ضرب میشود .\nدعوی ١ : — هر گاه محل مضروبین ؛\nتبدیل شود حاصل ضرب بدل نمیشود . مثلا :\n٧ × ٣ تماماً به ٣ × ٧ مساوی میباشد .\nزیرا : | | | | | | |\n| | | | | | | ٧ دانه ٣\n| | | | | | |\n٣ دانه ٧\nاگر عدد مضروبات از دو زیاده باشد هم\nحکم دعوی صحیح است . مثلا :\n٣ × ٥ × ٧ = ٧ × ٥ × ٣ میباشد .\nدعوی ٢ : — هر گاه حاصل ضرب مضروبات\nکثیره را بيك عدد ضرب كردن ؛ لازم باشد","chars":535,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00037.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/adl0709/37","canvas":"https://afghanpress.org/iiif/adl0709/canvas/37","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."}}