{"book":"adl0131","page":32,"text":"کتاب ۲۱ مساحت\n\nبهرصورت باهم برابر خواهند بود -\n۲۸ - اگر سطح متوازی الاضلاع و قائمه الزاویه بر یک قاعده در میان یک خط\nمتوازی واقع باشند پس هر دو سطح ها با هم برابر خواهند بود - فرض کنید که\nسطح متوازی الاضلاع الف ب ج د و سطح قائمه الزاویه الف ب ی ف\nبر یک قاعده الف ب و یک در میانی خطوط متوازی الف ب و ف ج\nواقع اند -\n\nپس سطح متوازی الاضلاع برابر خواهد بود به سطح قائمه الزاویه یعنی هر دو شکل\nبرابر جای احاطه خواهند کرد یا رقبه انها باهم برابر خواهند بود -\nثبوت - این سخن ظاهر است که مثلث ب ی ج برابر است بمثلث\nالف ف د دفعه (۳۷) و این واضح میشود که شکل الف ب ج د برابر ست\nبشکل الف ب ی ف و بجای این سخن که سطح متوازی الاضلاع و قائمه الزا\nدر میان یک متوازی خطوط واقع اند بموجب (دفعه ۱۳) ما اینرا گفته میتوانیم","chars":703,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00032.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/32","canvas":"https://afghanpress.org/iiif/adl0131/canvas/32","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."}}