{"book":"adl0290","page":510,"text":"۴۰\n\n(۱۵۳) جمع و تفریق کسور اعشاریه متوالی\nقاعده جمع :-\nاول کسور اعشاریه را متشابه سازید و بعد ازان\nحسب معمول جمع کنید و بر هندسه اخریٰ حاصل جمع\nآن حاصل را زیاده کنید که از جمع هندسه طرف\nچپ کل دور ها که در یک قطار عمودیست\nپیدا میشود در این حاصل جمع متشابه به کسور\nاعشاریه مفروض خواهد بود و عمل تفریق نیز\nبغیّه بهمین طریق است صرف این قدر فرق\nاست درین صورت حاصل مذکور را تفریق\nکرده میشود +\nمثال ۱ جمع کنید :- ۲،۳۷۵ ف و ۸۱۷۲ و ۴،۳۱\n\nطریق عمل\n۲ ، ۳۷۵ ف = ۲۰۲۷۵۷۵۷۵\n۸۱۷۲ = ۸۱۷۲۱۷۳۱ ،\n۴،۳۱ = ۴،۳۱\n\n۷،۵۰۳۰۷۴۸۸\n۱\n\n۷،۵۰۳۰۷۴۸۹\nجواب","chars":520,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00510.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/510","canvas":"https://afghanpress.org/iiif/adl0290/canvas/510","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."}}