{"book":"adl0131","page":164,"text":"کتاب\n۱۵۳\nمساحت\n\nو ارتفاع مثلث و سطح قائم الزاویه یک باشد پس مثلث\nاز سطح قائم الزاویه نصف میباشد.\n(۱۳۹) رقبهٔ مثلث را دریافت کنید.\nقاعده\nنصف قاعده را به ارتفاع ضرب بدهید حاصل ضرب رقبهٔ مطلوب خواهد\nصاف ظاهر است که خواه نصف حاصل ضرب قاعده و ارتفاع\nرا بگیریم و خواه نصف قاعده را به ارتفاع ضرب بدهیم و خواه\nنصف ارتفاع را با قاعده ضرب بدهیم نتیجه مذکور در کل صورتها\nیک خواهد بود. از هر سه صورت‌های مذکور هر یک که در عمل\nاستعمال آن آسان باشد بعمل آورده شود.\n(۱۴۰)\nتمثیلات\n(۱) قاعدهٔ مثلث سه گز و ارتفاع مثلث ۴ فٹ ۶ انچ است\nرقبهٔ مثلث مذکور را دریافت کنید","chars":547,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00164.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/164","canvas":"https://afghanpress.org/iiif/adl0131/canvas/164","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."}}