{"book":"adl0131","page":64,"text":"کتاب ٥٣ مساحت\n\nمطلوب خواهد بود -\n\n(٥) اگر دو اضلاع و قاعده مثلث متساوی الساقین معلوم باشند پس\nقاعده معلوم کردن ارتفاع مثلث مذکور در ذیل است\nقاعده\nاز مربع کدام ضلع یعنی (یک ضلع معلومه) مربع نصف قاعده را تفریق کنید\nپس جذر حاصل تفریق ارتفاع مطلوب خواهد بود - یا آنکه حاصل ضرب مجموعه\nو فرق ضلع معلوم و نصف قاعده را جذر معلوم کنید ارتفاع مطلوب خواهد بود\n(٦) اگر هر سه اضلاع مثلث معلوم باشند یک ضلع را قاعده\nفرض کرده قاعده معلوم کردن ارتفاع در ذیل است -\nقاعده\nاز نصف مجموعه هر سه اضلاع هر یک ضلع را جدا جدا منها کنید بعده\nنصف مجموعه و هر سه منها شده اضلاع را باهم ضرب داده حاصل ضربرا\nجذر معلوم کنید و بعده دو چند جذر معلومه را بر قاعده مفروضه","chars":636,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00064.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/64","canvas":"https://afghanpress.org/iiif/adl0131/canvas/64","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."}}