{"book":"adl0131","page":186,"text":"کتاب\n۱۷۵\nمساحت\n\nفرض کنید که الف ب ج د یک شکل ذواربعۃ الاضلاع است.\nالف ب و ج د اضلاع با هم متوازی اند\nو از نقطہ ج بالای الف ب ج ی عمود\nب ی ا\nو از نقطہ الف بالای ج د الف ب عمود بکشید پس رقبہ مثلث\nالف ب ج = ۱/۲ × الف ب × الف ف و رقبہ مثلث الف د ج\n= ۱/۲ ج د × الف ف قابل تصور است که الف ف = ج ی پس\nرقبه ذواربعۃ الاضلاع ج ی و نصف مجموعہ حاصل ضرب الف ب\nو ج د است پس از بیان مذکورہ بالا قاعدہ مندرجہ ذیل حاصل میشود\n(۱۵۱) رقبه ذوزنقہ را دریافت کنید۔\n\nقاعدہ\nهر دو اضلاع متوازی را با عمودی فاصله ضرب داده نصف کنید\nرقبه مطلوب خواهد بود.\nو خواه نصف اضلاع متوازی را با عمودی فاصله ضرب بدهید.","chars":578,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00186.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/186","canvas":"https://afghanpress.org/iiif/adl0131/canvas/186","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."}}