{"book":"adl0290","page":237,"text":"علم حساب ١\n٢٣٠\nحاصل ضرب عاد اعظم و ذو اضعاف اقل آن اعداد می باشد مثلاً ٢ عاد اعظم و ١٢ ذو اضعاف اقل ٤ و ٦ است\nپس ٤ × ٦ = ٢ × ١٢\nبنابرین برای معلوم کردن ذو اضعاف اقل دو عدد قاعده ذیل مقرر میباشد :-\nحاصل ضرب دو عدد را بر مقسوم علیه اعظم آنها تقسیم کنید خارج قسمت ذو اضعاف اقل مطلوب خواهد بود *\nمثال - ذو اضعاف اقل ٣٨ و ٥٧ را معلوم کنید - عاد اعظم ٣٨ و ٥٧ = ١٩\n∴ ذو اضعاف اقل ٣٨ و ٥٧ = ٣٨ × ٥٧ ÷ ١٩\n= ٣٨ × ٣ = ١١٤ جواب\n٩٤ - قاعده دریافت نمودن ذو اضعاف اقل سه یا زیاده اعداد این است که اول ذو اضعاف اقل دو عدد را معلوم کنید و بعد ازان ذو اضعاف اقل این ذو اضعاف اقل و عدد سوم را دریافت کنید و علی هذا القیاس همین عمل را جاری دارید پس ذو اضعاف اقل اخیر ذو اضعاف اقل مطلوب","chars":665,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00237.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/237","canvas":"https://afghanpress.org/iiif/adl0290/canvas/237","source":"https://afghanistandl.nyu.edu/books/adl0290/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0290_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."}}