{"book":"adl0290","page":63,"text":"علم حساب ۵۶\nحاصل ضرب مرتبه دوم و سوم وغیره را محاذی\nصورت مرتبه دوم و سوم وغیره انه مراتب بگذارید:\nمثال ۲۰۹۵ را در ۳ ضرب کنید :-\nاعداد مضرب و مضرب فیه را بطریق ذیل\nبنویسد :-\n۲۰۹۵ مضروب\n۳ مضروب فیه\n۶۲۸۵ حاصل ضرب\nدلیل عمل چونکه سه مرتبه ۵ احد ۱۵ احد\nمیشود - بنا برین ۵ را زیر احاد نوشتیم و یک را\nبطریق حاصل نگه داشتیم که آن را با عشرات جمع\nنمائیم - باز چون ۳ مرتبه ۹ عشره ۲۷ عشره میشود\nو یک عشره را که سابق حاصل داشتیم نیز\nبان جمع کردیم مجموعه ۲۸ عشره شد. بنابراین ۸\nرا زیر مرتبه عشرات نوشتیم و ۲ را بطریق حاصل\nنگه داشتیم که آن را با مآت جمع نمائیم - *\nباز چون ۳ مرتبه صد صفر صفر می شد و با این\nصفر را که از عشرات سابق بطریق حاصل\n* ۰ = ۳ × ۰ چرا که ۰ + ۰ + ۰ = ۰ +","chars":661,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00063.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/63","canvas":"https://afghanpress.org/iiif/adl0290/canvas/63","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."}}