{"book":"adl0946","page":180,"text":"۱۷۳\nفاصلهٔ بین المرکزین کوچک تر است از تفاضل دو\nشعاع.\n\n۲۱۱- دوائر متحدالمرکز - حال اگر در شکل سابق باز\nهم حرکت نقطهٔ ه‌ را امتداد دهیم بر روی نقطه ه واقع\nمی شود آن وقت دو دائره متحدالمرکز می شوند و آن حالت\nمخصوصی از قضیهٔ سابق است اگر از نقطهٔ ه باز هم ه‌ را\nحرکت دهیم عیناً همان مطالب که گفتیم معکوساً بدست می آید.\n\n۲۱۲- خلاصه - فاصله بین المرکزین را بواسطهٔ حرف\nف و اشعه دو دائره را بدو حرف س و سَ نمایش میدهیم\nکلیهٔ نتایجی را که سابقاً دیدیم در جدول ذیل خلاصه میشود.\nدوائر خارجی سَ + س > ف\nدوائر مماس خارجی سَ + س = ف\nدوائر متقاطعه س + سَ > ف > سَ - س\nدوائر مماس داخلی سَ - س = ف\nدوائر داخلی سَ - س > ف","chars":605,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00180.jpg","first_page":1,"last_page":327,"title":"Handasah-ʼi musaṭṭaḥah barā-yi ṣinf-i haftum-i makātib-i rushdīyah, bi-qarār-i prūghram-i Vizārat-i Jalīlah-ʼi Muʻārif-i Afghānistān هندسۀ مسطحه :هندسۀ مسطحه","permalink":"https://afghanpress.org/book/adl0946/180","canvas":"https://afghanpress.org/iiif/adl0946/canvas/180","source":"https://afghanistandl.nyu.edu/books/adl0946/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0946_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."}}