{"book":"adl0131","page":210,"text":"کتاب ۱۹۹ مساحت\n۴۸۴۰÷۴۱۴۱|۳=۱۵۴۰|۱۲ و جزر ۱۵۴۰|۱۲، ۳۹،۲۵ پس\nنصف قطر دائره تقریبا ۳۹،۲۵ گز جواب مطلوب است -\n(۱۶۳) رقبه آن مدور حلقه که در میان دو هم مرکز دائره ها باشد معلوم کنید\nقاعده\nرقبه هر یک دائره را دریافت کنید و از رقبه دائره بیرونی رقبه اندرونی\nدائره را تفریق کنید - و یا مجموعه های نصف قطر ها را در حاصل تفریق آنها\nضرب بدهید و حاصل ضرب را در ۲۲|۷ ضرب بدهید و یا اگر در جواب\nزیاده صحت منظور باشد پس در ۳،۱۴۱۶ ضرب بدهید پس رقبه\nمذکور نصف حاصل ضرب مجموعه محیط ها و فرق نصف قطر ها است و یا\nنصف حاصل ضرب مجموعه نصف قطرها و فرق محیط ها است -\n(۱۶۴) تمثیلات\n(۱) مرکز نصف قطر دو هم مرکز دائره ۱۰ فت و ۱۲ فت اند پس رقبه\nحلقه مدور را دریافت کنید -","chars":643,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00210.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/210","canvas":"https://afghanpress.org/iiif/adl0131/canvas/210","source":"https://afghanistandl.nyu.edu/books/adl0131/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0131_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."}}