{"book":"adl0946","page":131,"text":"۱۲۴\nنا مرکز ه بزرگتر از شعاع ه و می باشد از آنچه گفتیم میتوانیم\nچنین نتیجه بگیریم .\nقضیه - عمود همواره اقصر است از مایلی که از\nهمان نقطه شروع شده باشد .\n۱۶۱ - فاصله یک نقطه از یک خط - فاصلۀ هر\nنقطه از خطی طول عمودی است که از ان نقطه برآن\nخط فرود آمده باشد .\nمعلوم می شود که فاصلۀ هر نقطه از خطی کوتاه ترین قطعه\nخطی است که آن نقطه را به آن خط وصل می نماید.\n۱۶۲ - مماس بر دائره در یک نقطه - مماس خطی\nرا گویند که با دائره بیش از يك نقطه اشتراك\nنداشته باشد .\nسابقاً دیدیم که هر خطی که بانتهاى شعاع دائرۀ عمود\nباشد مماس بر ان دائره است .\nنقطۀ اشتراک دائره و خط را نقطۀ تماس گویند.","chars":575,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00131.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/adl0946/131","canvas":"https://afghanpress.org/iiif/adl0946/canvas/131","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."}}