{"book":"adl0938","page":490,"text":"۴۸۳\n\nدفعه چهارم (۱) قاعده ذواضعاف اقل بذریعه اجزای ضربی\nاجزای مفرد هر عدد را معلوم نموده، از دو عدد همجنس یکی را\nبگیرید، و اعدادیکه همجنس خود نداشته باشند آنها را هم گرفته همه را با هم ضرب کنید\nحاصل ضرب ذواضعاف اقل خواهد بود.\nمثلاً ذواضعاف اقل سه، چهار\nو شش را معلوم کنید:\n(۲) قاعده ذواضعاف اقل بذریعه تقسیم\nجمله اعدادیرا که ذواضعاف اقل آنها را معلوم میکنید، براعداد\nمفرد خرد تقسیم کرده بروید، تا حدیکه در آخر اعداد مشترک نمانند، پس حاصل\nضرب جمله مقسوم علیه و اعداد تقسیم نشده، ذواضعاف اقل شان خواهد بود\nمثلاً ذواضعاف اقل ۳ و ۴ و ۵ و ۶ و ۱۲ را\nمعلوم کنید.\nذواضعاف اقل = ۲ * ۲ * ۳ * ۵ = ۶۰ جواب\nکسور\nتصور کسور سه پارچه کاغذ رنگه را که در طول مساوی باشند، بگیرید:","chars":661,"image":"https://storage.googleapis.com/adl-page-images/adl0938/00490.jpg","first_page":1,"last_page":719,"title":"ʻIlm al-taʻalīm عالم التعليم","permalink":"https://afghanpress.org/book/adl0938/490","canvas":"https://afghanpress.org/iiif/adl0938/canvas/490","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."}}