{"book":"adl0290","page":559,"text":"۸۹\nاعشاریه دران مقام گذاشته می شود که جذر اعداد\nصحیح ختم شود ظاهر است که اگر کسر اعشاریه را\nمربع کنیم درین مربع تعداد هندسه های اعشاریه\nجفت خواهد بود بنابرین اگر کسر اعشاریه مربع\nکامل باشد در حالت اختصار تعداد هندسه های\nاعشاریه نصف هندسه عدد مجذور خواهد بود\nجذر کسر اعشاریه که مربع کامل نباشد تمام نمیشود\nو در این صورت تعداد هندسه های اعشاریه\nغیر منتهی خواهد بود و جذر را تا آن مرتبه که\nمطلوب باشد معلوم کرده می توانیم *\nدر جذر کسر اعشاریه اگر تعداد هندسه\nهای اعشاریه طاق باشد آنها را بزیادتی\nیک صفر بجانب راست جفت کرده میتوانیم*\nمثال ۱ جذر ۱۱٫۹۰۲۵ و ۵۶۲۵٫ را معلوم کنید\n\n۳٫۴۵\n۱۱٫۹۰۲۵\n۹\n۶۴ ۲۹۰\n۲۵۶\n۶۸۵ ۳۴۲۵\n۳۴۲۵\nx\n\n٫۷۵\n٫۵۶۲۵\n۴۹\n۱۴۵ ۷۲۵\n۷۲۵","chars":639,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00559.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/559","canvas":"https://afghanpress.org/iiif/adl0290/canvas/559","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."}}