{"book":"adl0290","page":258,"text":"۲۵۱\nعلم حساب ۱\nصورت و مخرج کدام کسر بر یک عدد معلوم\nتقسیم کرده شود در قیمت آن کسر تفاوت پیدا\nنمی شود *\n۱۰۱- هر عدد صحیح را در صورت کسر نوشته\nمیتوانیم و مخرج آن هر قدر که بخواهیم فرض کرده\nمی توانیم *\nمثلاً ۳ = ۳/۱ = ۶/۲ = ۹/۳ = ۱۲/۴ و غیره *\n۱۰۲- از بیان کسر فوق ظاهر است که\nاگر کدام عدد صحیح را این چنین کسر ساختن\nمطلوب باشد که مخرج آن یک عدد خاص باشد\nآن عدد صحیح را در مخرج ضرب نموده حاصل\nضرب را بالای همان مخرج بنویسید مثلاً فرض\nکنید که از ۶ = ۶/۱ این چنین کسر ساختن مطلوب\nاست که مخرج آن ۵ یا ۱۴ باشد *\nپس ۶ = ۶/۱ = ۶ * ۵ / ۱ * ۵ = ۳۰/۵ } و علی هذا القياس\nو ۶ = ۶/۱ = ۶ * ۱۴ / ۱ * ۱۴ = ۸۴/۱۴ }\nامثله نمبر ۵۷\n(۱) هر یکی از ۲ و ۵ و ۷ و ۱۰ را بصورت یک","chars":650,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00258.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/258","canvas":"https://afghanpress.org/iiif/adl0290/canvas/258","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."}}