{"book":"adl0131","page":78,"text":"کتاب مساحت\nب ج را با ج د و علیٰ ہٰذالقیاس باشد پس هر دو اشکال مذکور\nمتشابه خواهند بود-\n(٢٧) برای متشابه بودن شکال مستقیم الاضلاع بودن دو خاًصیت\nضروریست یعنی (مساوات زاویه ها و تناسب اضلاع) یعنی مساوات\nزاویه ها و تناسب ضلاع از نظریات علم هندست ثابت است که\nاگر در دو مثلث ها از خاصیت های مذکور یک خاصیت باشد\nپس خاصیت دیگر ضرور خواهد بود- و نیز از عملیات ثبوت متذکره\nبالا بآسانی بهم میرسد- مثلاً دو مثلث از کاغذ بریده تقسیم بسازید\nکه ضلاع یک مثلث از ضلاع مثلث دیگر دو چند یا سه چند\nباشند پس نظیره زاویه ہای مثلث های مذکور را از گذاشتن\nبالای یکدیگر خود معلوم میشود که نظیره زاویه های مثلث های\nمذکور باهم برابراند مگر در شکال مستقیم الاضلاع که از سه اضلاع\nزیاده تر اضلاع داشته باشند یک خاصیت بغیر خاصیت دیگر","chars":702,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00078.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/78","canvas":"https://afghanpress.org/iiif/adl0131/canvas/78","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."}}