{"book":"adl0131","page":77,"text":"کتاب\n۶۶\nمساح\n۴ : ۳ : : ۵۲ : بلندی درخت : بلندی درخت مذکور:\n= ۳۹ فث جواب مطلوب است-\n(۷۰) از مثلث های مشابه خود بخود خیال مشابه مستقیمته الاضل\nپیدا میشود و مشابه مستقیمته الاضلاع عین آن اشکال را گویند\nهای متناظره مشابه مستقیمته الاضلاع با هم برابر باشند وضلائع\nزاویه های برابر مشابه مستقیمته الاضلاع متناسب نظیر یکدیگر\n(۷۱) مثلاً اگر الف ب ج دی و الف ب ج دی در دو\nمخمس زاویه های\nد\nی\nد\nج\nی\nالف\nج\nب\nب\nالف\nالف و ب و ج و د و ی جدا جدا برابر زاویه های الف\nب و ج و د و ی باشند و ضلاع گرد زاویه های مذکورتنا\nباشند یعنی الف ب را نسبت که باب ج است همان نسر\nالف ب را باب ج و نسبت که ب ج را با ج دوست همان نمی\nدین بارها","chars":606,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00077.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/77","canvas":"https://afghanpress.org/iiif/adl0131/canvas/77","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."}}