{"book":"adl0938","page":500,"text":"۴۹۳\nاز مضروب کم می آید، استاد را باید که این وجه را بخوبی فهمانده پریشانی شانرا\nرفع نماید؛ این قاعده را بقرار دفعات ذیل تقسیم نمائید:-\nدفعه اول- کسور * عدد صحیح- مثلاً ۳/۸ * ۴- حالا این سخن را\nاعاده نمائید که معنی ۴ * ۳ میباشد ۳+۳+۳+۳ پس ۳/۸ * ۴ مساویست\n۱۲/۸ = ۴*۳/۸ = ۳/۸ + ۳/۸ + ۳/۸ + ۳/۸ صحت این را بذریعه امثله\nمختلف نشان بدهید- سپس این قاعده را اخذ نمائید که چون کدام کسر را\nهمراه کدام عدد صحیح ضرب میکنید- پس شمار کننده آن کسر را همراه آن عدد صحیح\nضرب نمائید؛ نیز ۴*۳/۸ = ۳/۲ = ۴*۳/۸ و ۳/۸/۴ = ۳/۲ بنابراین\n۴ * ۳/۸ = ۳/۸/۴ = ۳/۲ پس ازین ثبوت قاعده ذیل هم اخذ شده میتواند\nکه اگر کدام کسور را همراه عدد صحیح ضرب میدهید، نسب نمای آن کسور را\nبر عدد صحیح تقسیم کنید.\nدفعه دوم- کسور ضرب کسور- مثلاً ۳/۴ * ۲/۳ مطلبش اینست که از ۳/۴\nحصه یک شی ۲/۳ حصه بگیرید.\nب\nج","chars":760,"image":"https://storage.googleapis.com/adl-page-images/adl0938/00500.jpg","first_page":1,"last_page":719,"title":"ʻIlm al-taʻalīm عالم التعليم","permalink":"https://afghanpress.org/book/adl0938/500","canvas":"https://afghanpress.org/iiif/adl0938/canvas/500","source":"https://afghanistandl.nyu.edu/books/adl0938/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0938_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."}}