{"book":"adl0131","page":174,"text":"کتاب\n۱۶۳\nمساحت\n\nج د الف رقبه های مثلث ها = ۱/۲ ی د × الف ب + ۱/۲ د ف ×\nب ج × ۱/۲ د غ × الف ج = ۱/۲ ی د × الف ب × ۱/۲ می د × ب ج\n+ ۱/۲ ی د × الف ج = ۱/۲ ی د ( الف ب + ب ج + الف ج )\nپس ی د × ( الف ب + ب ج + الف ج ) دو چند رقبه مثلث\nالف ب ج است - پس ی د = دو چند رقبه مثلث الف ب ج / الف ب + ب ج + الف ج\nپس نتیجه از مثال مذکوره بالا اینچنین است که اگر دو چند رقبه مثلث را\nبر مجموعه اضلاع مثلث مذکور تقسیم کنید پس خارج قسمت نصف قطر\nدائره مذکور که اندرون مثلث مذکور ساخته شود خواهد بود -\n(۶) از تمثیلات چهارم و پنجم دفعه (۱۴۴) ظاهر است که اندرون\nو بیرون مثلث دائره ها که کشیده شوند در قطر های دائره های\nمذکور نسبت ذیل خواهد بود -\nیعنی قطر دائره بیرونی : قطر دائره اندرونی : : اضلاع مثلث\nو حاصل ضرب مجموعه اضلاع مثلث : هشت چند رقبه مثلث -","chars":731,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00174.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/174","canvas":"https://afghanpress.org/iiif/adl0131/canvas/174","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."}}