{"book":"adl0131","page":35,"text":"کتاب\n۳۴\nمساء\n\nکشیده شود برخط مماس عمود خواهد بود.\n۳۲- فرض کنید که زاویه های ب الف د و ب ی د\nبر یک قطع دائره ب الف ی د واقع اند پس این\nزاویه ها برابر خواهند بود.\n۳۳- اگر فرض کرده شود که الف ب قطر دائره است و ج نقطه\nدائره است و ازین نقطه الف ج و ب ج خطوط کشیده شوند\nپس الف ج ب زاویه قائمه خواهد شد.\n۳۴- فرض کنید که الف ب ج د و ی ف این چنین دو مثلث ها اند\nاز زاویه های انها زاویه الف برابرست بزاویه د و زاویه ب مساوی\nبزاویه ی و زاویه ج برابرست بزاویه ف پس اضلاع زاویه های بر\nمتناسب خواهند بود یعنی اگر ضلع ی ف از ضلع ب ج دو چند است پس\nف د از ضلع ج الف و ضلع د ی از ضلع الف ب دو چند خواهد بود\nضلع ی ف از ضلع ب ج سه چند باشد پس ضلع های ف د و د ی نیز الف د\n\nنے الم","chars":658,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00035.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/35","canvas":"https://afghanpress.org/iiif/adl0131/canvas/35","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."}}