{"book":"adl0131","page":28,"text":"مساحت\nکتاب\n۱۴\n\nثبوت ـ فرض کنید که ب ی بر خطوط ج د عمود است پس زاویه ب د\nبرابر مجموعه زاویه‌های الف ب ی و ی ب د برابر ست و از همین سبب\nالف ب ج و الف ب د مجموعه دو زاویه ها برابر مجموعه سه زاویه های\nالف ب ج و الف ب ی و ب د است مگر زاویه ی ب د قائمه است\nو مجموعه زاویه‌های الف ب ج و الف ب ی برابر زاویه قائمه می ب ج\nاست - پس الف ب ج و الف ب د زاویه ها با هم یکجا شده برابر دو قائمه ها اند\n۱۹- فرض کنید که الف ب و ج د\nدو خطوط مستقیم یکدیگر را به نقطه ی تقاطع\nمی‌کنند - پس زاویه الف ی ج برابر زاویه ب ی د خواهند بود و زاویه\nالف ی د برابر زاویه ب ی ج خواهد بود ـ\nثبوت ـ الف ی ج و ج ی ب زاویه ها یکجا شده برابر دو\nقائمه ها اند و ج ی ب و ب ی د زاویه ها یکجا شده برابر دو قائمه ها اند\n(دفعه ۱۸) ازین سبب زاویه‌های الف ی ج و ج ی ب یکجا شده","chars":729,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00028.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/28","canvas":"https://afghanpress.org/iiif/adl0131/canvas/28","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."}}