{"book":"adl0290","page":699,"text":"۲۲۹\n\nاجتماع ۲ : ۳ و ۶ : ۷ حسب ذیل میباشد :-\n۲ × ۶ : ۳ × ۷ یعنی ۴ : ۷\n۲۰۷ - چهار مقدار آن وقت باهم متناسب می باشد که نسبت اول و دوم مساوی نسبت سوم و چهارم باشد مثلاً ۳ و ۴ و ۹ و ۱۲ باهم متناسب است چرا که\n۳ : ۴ = ۹ : ۱۲\nتنبیه - هر گاه چهار مقدار باهم متناسب باشد لازم نیست که همه از یک جنس و یک نوع باشد مگر این قدر ضروری است که دو مقدار اول و دو مقدار آخر هم جنس باشد.\nطریق کتابت اعداد متناسب حسب ذیل است :-\n۳ : ۴ = ۹ : ۱۲ یا ۳ : ۴ :: ۹ : ۱۲ و تلفظ آن بالفاظ ذیل میشود :-\n\" نسبت ۳ و ۴ مساوی نسبت ۹ و ۱۲ است\"\nدر تناسب فوق ۳ و ۱۲ را طرفین میگویند و ۴ و ۹ را وسطین\n۲۰۸ - هر گاه چهار عدد بقرار ذیل متناسب","chars":599,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00699.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/699","canvas":"https://afghanpress.org/iiif/adl0290/canvas/699","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."}}