{"book":"adl0290","page":228,"text":"علم حساب ۱\n۲۲۱\n۲ و ۳ و ۶ افزون تر است *\n۹ عاد اعظم چند اعداد مساوی حاصل ضرب\nاجزای متبائن مشترکه آن اعداد می باشد *\nمثال ۱ عاد اعظم ۱۸ و ۳۰ معلوم کنید:-\n۱۸ = ۲ × ۳ × ۳ و ۳۰ = ۲ × ۳ × ۵\nاجزای مشترک این اعداد ۲ و ۳ می باشد-\nبنابرین عاد اعظم مطلوب = ۲ × ۳ = ۶\nتنبیہ- برای معلوم کردن عاد اعظم ضروری\nنیست که اجزای متبائن جمیع اعداد دریافت کرده\nشود بلکہ صرف این قدر کافی است که اجزای\nمتبائن یک عدد معلوم کرده شود و حاصل ضرب\nآن اجزای متبائن دریافت نموده شود که هر یکی\nرا از اعداد مفروض باقی مانده برابر تقسیم میکنند *\nمثال ۲ عاد اعظم ۸۴ و ۱۴۰ و ۱۶۸ معلوم\nکنید :-\nاکنون ۸۴ = ۲ × ۲ × ۳ × ۷\nپس ظاهر است که هر یکی از اعداد باقی مانده\nبر ۲ × ۲ × ۷ برابر تقسیم می شود لاکن بر ۳ تقسیم\nنمی شود بنابرین عاد اعظم مطلوب =","chars":702,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00228.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/228","canvas":"https://afghanpress.org/iiif/adl0290/canvas/228","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."}}