{"book":"adl0131","page":172,"text":"کتاب ۱۶۱ مساحت\n\nزاویه ب ا د است پس بموجب دفعه (۳۴) مثلث ا ب د و مـ\nا ی ج متشابه اند-\nو بهمین سبب ا ب را از ا د آن نسبت است آنکه ا ی را از ا ج\nاست-\nو از همین سبب ا ب × ا ج = ا د × ا ی\nیا ا ی = ا ب × ا ج = ا ب × ا ج × ب ج\n ا د ا د × ب ج\nو ازان این نتیجه می برآید که قطر این دائره آنکه بر مثلث ساخته شود\nبرابر آن خارج قسمت میباشد آنکه بر تقسیم کردن رقبه دو چند\nحاصل ضرب اضلاع معلوم بر آید- یعنی اگر اضلاع مثلث را\nبا هم ضرب کرده بر رقبه دو چند آن تقسیم کرده شود آنوقت\nخارج قسمت قطر آن دائره خواهد بود آنکه بر این مثلث ساخته شود\nمثلاً فرض کنید که اضلاع مثلث ۲۴ انچ و ۲۸ انچ و ۳۰ انچ میباشد\nبموجب دفعه (۱۲۸) رقبه آن ۳۳۶ مربع انچ است ازین سبب","chars":635,"image":"https://storage.googleapis.com/adl-page-images/adl0131/00172.jpg","first_page":1,"last_page":381,"title":"Kitāb-i ʻIlm i masāḥat کتاب عالم ا مساحت","permalink":"https://afghanpress.org/book/adl0131/172","canvas":"https://afghanpress.org/iiif/adl0131/canvas/172","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."}}