{"book":"adl0290","page":700,"text":"۲۳۰\n\nباشد :- اول : دوم : : سوم : چهارم پس\nظاهر است که دوم : اول : : چهارم :\nسوم و چهارم : سوم : : دوم : اول و\nاگر کل مقادیر هم جنس باشد نیز اول :\nسوم : : دوم : چهارم\n\n۲۰۹ - در هر تناسب حاصل ضرب\nطرفین مساوی حاصل ضرب وسطین می باشد\nمثلاً ۴ : ۳ = ۶ : ۸ : : ۳ × ۸ = ۴ × ۶\n\n:- یکی از طرفین = حاصل ضرب وسطین / طرف دیگر\n\nو یکی از وسطین = حاصل ضرب طرفین / وسط دیگر\n\n۲۱۰ - اگر سه مقدار هم جنس باشد و نسبت\nاول و دوم و سوم باشد در آن صورت تناسب\nرا تناسب مسلسل می گویند مثلاً ۲ و\n۴ و ۸ تناسب مسلسل دارند و ۴ اوسط\nتناسب است و نیز ظاهر است که مربع اوسط\nتناسب مساوی حاصل ضرب دیگر ارکان تناسب\nمسلسل می باشد -","chars":591,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00700.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/700","canvas":"https://afghanpress.org/iiif/adl0290/canvas/700","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."}}