{"book":"adl0946","page":51,"text":"۴۴\nمیگوئیم .\nاز آنچه مذکور شد چنین معلوم می شود :\n۵۶ - تعریف - دو زاویه را در صورتی متقابل\nبرأس می گویند که اضلاع یکی از امتداد دادن\nاضلاع دیگری در آن طرف راس حاصل شود.\n۵۷ - قضیه - دو زاویهٔ متقابل براس با هم\nمساوی اند.\nزیرا که هر دو مکمل یک زاویه اند (۵۴)\n۵۸ - تبصره - در ۵۵ مسئله داشتیم که جوابش فوراً بنظر\nمیآمد فقط دلیلی نبود که ضلعی را بر دیگری ترجیح داده آن را امتداد\nدهیم در وقتیکه هر دو را امتداد داده نتایج آنها را مقایسه کردیم\nقضیه را کشف کردیم که سابقاً بنظرمان نمی آمد .\nاین قاعده غالباً در هندسه نتایج خوب دارد زیرا وقتیکه\nشکلی را بتوان بچندین طریقه ترسیم نمود غالباً ترسیم تمام آنها و\nمقایسهٔ نتایج حاصله برای ما فائده خواهد داشت .","chars":645,"image":"https://storage.googleapis.com/adl-page-images/adl0946/00051.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/adl0946/51","canvas":"https://afghanpress.org/iiif/adl0946/canvas/51","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."}}