{"book":"adl0131","page":30,"text":"کتاب ۱۹ مساحت\n\nزاویه ب غ ط برابر زاویه متبادله\nغ ط ج است-\n\n۲۲- فرض کنید که کدام ضلع مثلث الف ب ج ضلع ب ج تا نقطه د\nخارج کرده شده است پس زاویه خارجه الف ج د برابر خواهد بود بهر\nدو زاویه های داخله مقابل خود-\n\nثبوت- فرض کنید که خط ج می متوازی الف ب است-\nپس زاویه می ج د برابر است بزاویه الف ب ج-\n(دفعه ۳۰) وزاویه الف ج ی برابر ست بزاویه الف ب ج دفعه (۲۲)\nپس کل زاویه الف ج د برابر مجموعه زاویه های الف ب ج و ب ا ج\n۲۳- هرسه زاویه های مثلث یکجا شده برابر دو قائمه ها میشوند-\nثبوت- بموجب دفعه (۲۲) مجموعه زاویه های الف ب ج\nوب الف ج برابر است بزاویه الف ج د ازین سبب مجموع هر\nزاویه ها الف ب ج و ب الف ج و الف ج ب برابرست بمجموعه","chars":621,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00030.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/30","canvas":"https://afghanpress.org/iiif/adl0131/canvas/30","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."}}