{"book":"adl0290","page":70,"text":"علم حساب\n۶۳\nمثلاً\n۸ = ۲ + ۲ + ۲ + ۲ = ۴ × ۲\nو ۴ × ۲ = ۴ + ۴\n= ۸\nماحصل هر دو برابر است یعنی ۲ × ۴ = ۴ × ۲\nبنابرین هرگاه ضرب دو عدد مطلوب باشد\nطالب علم حساب را باید که عدد کلان را مضروب\nو عدد خورد را مضروب فیه بسازد که در عمل\nضرب سهولت باشد - مثلاً اگر سوال این باشد\nکه ۴۳ و ۵۲۳ را در یک دیگر ضرب کنید\nطالب العلم را لازم که ۵۲۳ را بالا و ۴۳\nرا زیر بنویسد *\nامثلہ نمبر ۱۰\nحاصل ضرب اعداد ذیل را دریافت کنید :-\n(۱) ۳۷۵ × ۵۴ (۲) ۹۰۴ × ۹۸\n(۳) ۷۴۰ × ۶۹ (۴) ۹۷۲ × ۳۴۵\n(۵) ۷۶۲ × ۸۹۰ (۶) ۸۰۷۲ × ۹۷۲\n(۷) ۷۰۸ × ۷۰۸ (۸) ۴۶۳ × ۳۴۰۸\n(۹) ۸۲۳۹ × ۵۰۰۹ (۱۰) ۹۰۴۵ × ۸۰۰۷\n(۱۱) ۹۰۴۰۷ × ۶۰۵۰","chars":567,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00070.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/70","canvas":"https://afghanpress.org/iiif/adl0290/canvas/70","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."}}