{"book":"adl0290","page":498,"text":"۲۸\nصورت عمل تقسیم تمام خواهد شد و کسر اعشاریه\nمتناهی خواهد بود :-\n(۲) ۷/۱۲ = ۷/۳×۲×۲ درین صورت عمل تقسیم\nتمام نمی شود و کسر اعشاریه غیر متناهی خواهد\nبود *\nامثله نمبر ۹۲\nدر امثله ذیل معلوم کنید که اگر کسور عام\nرا به کسور اعشاریه تبدیل کنیم اعشاریه متناهی\nخواهد بود یا نه *\n(۱) ۱/۳ (۲) ۳/۴ (۳) ۵/۶ (۴) ۲۱/۲۴\n(۵) ۲۷/۵۰ (۶) ۲ ۲۹/۴۲ (۷) ۳۳/۱۲۱ (۸) ۱۳/۱۴۰\n(۹) ۳۲/۵۱۰ (۱۰) ۱۰۱/۱۵۵ (۱۱) ۳ ۱۸/۷۲ (۱۲) ۹/۴۵\n(۱۳) ۷ ۱/۲ (۱۴) ۵۲/۹۶ (۱۵) ۱۱/۱۲ ۱۱\n(۱۶) از ۱ الی ۲۰ آن اعداد را بنویسید که اگر آنها\nدر مخرج کسر عام باشند کسر اعشاریه\nغیر متناهی را پیدا کنند *\n(۱۴۵) در کسور اعشاریه غیر متناهی لازم\nاست که چند هندسه بار بار واقع شود مثلاً","chars":619,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00498.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/498","canvas":"https://afghanpress.org/iiif/adl0290/canvas/498","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."}}