{"book":"adl0131","page":80,"text":"کتاب ۶۹ مساحت\n\nشکل دوم نیز نظیره از قاعده تناسب معلوم کرده میشود.\n(۷۵) اشکال متشابه بطریقیکه با خطوط مستقیم محدود میباشند با خطوط\nمنحنی نیز محیط میباشند مثلا دو نقشه هائی یک ملک طوال و عرضا\nمختلف داشته باشند پس هر دوی شان متشابه خواهند بود اگر\nاز نقشه های مذکور در یک نقشه پیمانه یک انچ باشد و در نقشه دوم\nپیمانه نصف انچ باشد که یک میل را تعبیر کند پس خطیکه در یک نقشه باشد\nخط نظیر آن در نقشه دوم دو چند آن خواهد بود.\n(۷۶) مفهوم متشابه بودن بتعریف ذیل خوب ذهن نشین می شود\nکه متشابه آن اشکال را گویند که صورت هائی آنها یکسان باشند\nمگر طول و عرض آنها مختلف باشند کل دائره ها اشکال متشابه\nمیباشند.\n(۷۷) چند تمثیلات اشکال متشابه راحل کرده در ذیل رقم میشوند.\n(۱) در شکل دفعه (۷۳) فرض کنید که","chars":686,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00080.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/80","canvas":"https://afghanpress.org/iiif/adl0131/canvas/80","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."}}