{"book":"adl0290","page":503,"text":"۳۳\n\n(۱۵۰) - دو یا زیاده کسور اعشاریه متوالی را\nمدام بکسور اعشاریه متوالی متشابه تبدیل کرده\nمیتوانیم مثلاً ۲ ، ۳ ، ۲ ، ۴۵ ، و ۶۸ ، ۲۵، وغیره\nکسور اعشاریه متوالی است و دران اعظم تعداد\nہندسہ ہائے غیر متوالی ۲ است و تعداد ہندسہ\nہائے متوالی در اول او در دوم ۲ و در سوم\n۲ است و ذو اضعاف اقل ۱ و ۲ و ۳\nشش میباشد بنا برین کسور اعشاریه متوالی\nفوق بکسور متشابه بطریق ذیل تبدیل خواهد\nشد :-\nاگر در ہر یکی از کسور مذکور تعداد\nہندسہ ہا ۸ باشد از ۸ ہندسہ تعداد ہندسہ\nہائے غیر متوالی ۲ و تعداد ہندسہ ہائے متوالی\n۶ خواهد بود (دو ہندسہ اول غیر متوالی\nمیباشد)\nپس ۲ ، ۳ = ۳۳۳۳۳۳ ، ۲\n۲ ، ۴۵ = ۴۵۴۵۴۵ ، ۲\n۶۸ ، ۲۵ = ۶۸۶۸۶۸ ، ۲۵","chars":604,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00503.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/503","canvas":"https://afghanpress.org/iiif/adl0290/canvas/503","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."}}