{"book":"adl0131","page":75,"text":"مساحت ۶۴ کتاب\n\nپس ی ف را بطریق ذیل معلوم خواهیم کرد-\n۵ : ۶ :: ۷ ، ی ف : ی ف = ۷×۶ / ۵ = ۴۲ / ۵ = ۸ ۲/۵\n(۲) فرض کنید که الف ب = ۵ و الف ج = ۴ و د ی = ۷\nپس د ف را بطریق ذیل بیان و معلوم خواهیم کرد-\n۵ : ۴ :: ۷ : د ف = ۷×۴ / ۵ = ۲۸ / ۵ = ۵ ۳/۵\n\nف ج\nی د ب الف\n\n(۶۸) در عملیات و نظریات علوم ریاضیه از تشابه مثلث ها کارهای\nبسیار بظهور می آیند- مثلاً بدفعه (۶۵) بیان کرده شده است که\nکه اگر یک ضلع مثلث متساوی الاضلاع ۱ فُت باشد پس ارتفاع این\nمثلث مذکور ۸۶۶ ۰ فُت خواهد بود پس تناسب مذکور همیشه در ضلاند[؟]\nو ارتفاع مثلث متساوی الاضلاع خواهد ماند پس اگر یک ضلع مثلث متـ\nمتساوی الاضلاع ۷ فُت باشد ارتفاع مثلث مذکور ۸۶۶ ۰×۷ ذیل\nفُت خواهد شد","chars":629,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00075.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/75","canvas":"https://afghanpress.org/iiif/adl0131/canvas/75","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."}}