{"book":"adl0290","page":473,"text":"۳\n(۱۳۱) عددی که بقرار اصول این نظام نوشته\nشود آنرا کسر اعشاریه میگویند و آن حصه\nکسر اعشاریه که بطرف چپ علامت اعشاریه\nمیباشد صحیح و حصه که به طرف راست این\nعلامت میباشد کسر گفته میشود این چنین رقم\nرا کسر اعشاریه به این سبب می نامند که هندسه\nهای طرف راست علامتِ اعشاریه این قسم\nکسور را ظاهر میکنند که مخرج آنها ۱۰ یا کدام\nقوت ده میباشد مثلاً ۲،۳۴ = ۲ + ۳/۱۰ + ۴/۱۰۰\n(۱۳۲) - اگر طرف راست کسر اعشاریه صفر یا\nاصفار زیاده کرده شود در قیمت آن هیچ فرق\nنمی آید مثلاً ۲،۳۵ = ۲،۳۵۰ = ۲،۳۵۰۰ چرا\nکه صفر یا اصفار مذکور کمیت مقامی هندسه های\nعدد را تبدیل نمی کند :\nعدد صحیح را به کسر اعشاریه تحویل کرده میتوانیم\nبه این طریق که در حصه کسر صفرها نوشته شود مثلاً\n۱۲ = ۱۲،۰۰ لیکن قیمت حصه کسر یک رقم به\nمقدار دهم یا صدم یا هزارم کم میشود اگر یک یا\nدو یا سه صفر قریب علامت اعشاریه به طرف راست","chars":771,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00473.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/473","canvas":"https://afghanpress.org/iiif/adl0290/canvas/473","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."}}