{"book":"adl0131","page":213,"text":"کتاب ۲۰۲ مساحت\n\nاول ظاهر میکند که رقبه دائره برابر میباشد بارقبه آن مثلث\nکه قاعده مثلث مذکور مساوی محیط دائره و برابر ارتفاع نصف قطر\nباشد ثبوت پوره در لیاقت مبتدی گنجایش ندارد مگریم\nکه صرف وجوهات که ثبوت بروجوهات ممکنی است در ذیل بیاینمی\nفرض کنید که اندرون دائره یک شکل کثیر الاضلاع منتظم که تعه\nاضلاع کثیر الاضلاع منتظم مذکور از حد زیاده باشد بسازیم پس از\nبیان ذیل صاف ظاهرست که اول در رقبه کثیر الاضلاع مذکور\nو در رقبه دائره چندان فرق بسیار نخواهد بود-\nدوم در مجموعه اضلاع مثلث مذکور ومحیط دائره بسیار کم تفاوت خواه\nسوم اگر از مرکز دائره بکدام ضلع کثیر الاضلاع عمود که کشیده شود\nدر عمود مذکور و در نصف قطر دائره شاید که بسیار کم تفاوت خواهد بود\nاز یکجا کردن خطوط در مرکز دائره و در زاویه های کثیر الاضلاع\nکثیر الاضلاع مذکور بسیار مثلث های برابر تقسیم خواهد شد\nو مجموعه","chars":770,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00213.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/213","canvas":"https://afghanpress.org/iiif/adl0131/canvas/213","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."}}