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Library / Mathematics / Archimedes / Braille

Archimedes ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

104,558 braille cells · 112 embossed pages at 40×25 · 405 unrepresentable characters omitted

⠞⠓⠑⠀⠊⠝⠝⠑⠗⠲⠀⠠⠞⠓⠑⠎⠑⠀⠁⠎⠎⠥⠍⠏⠞⠊⠕⠝⠎⠀⠁⠗⠑⠀
⠋⠥⠝⠙⠁⠍⠑⠝⠞⠁⠇⠀⠞⠕⠀⠓⠊⠎⠀⠊⠝⠧⠑⠎⠞⠊⠛⠁⠞⠊⠕⠝⠂⠀⠺⠓⠊⠉⠓⠀
⠏⠗⠕⠉⠑⠑⠙⠎⠀⠞⠓⠗⠕⠥⠛⠓⠕⠥⠞⠀⠃⠽⠀⠍⠑⠁⠝⠎⠀⠕⠋⠀⠋⠊⠛⠥⠗⠑⠎⠀
⠊⠝⠎⠉⠗⠊⠃⠑⠙⠀⠁⠝⠙⠀⠉⠊⠗⠉⠥⠍⠎⠉⠗⠊⠃⠑⠙⠀⠞⠕⠀⠞⠓⠑⠀
⠉⠥⠗⠧⠑⠙⠀⠇⠊⠝⠑⠎⠀⠕⠗⠀⠎⠥⠗⠋⠁⠉⠑⠎⠀⠞⠓⠁⠞⠀⠓⠁⠧⠑⠀⠞⠕⠀⠃⠑
⠀⠍⠑⠁⠎⠥⠗⠑⠙⠲⠀⠀⠠⠁⠋⠞⠑⠗⠀⠎⠕⠍⠑⠀⠏⠗⠑⠇⠊⠍⠊⠝⠁⠗⠽⠀
⠏⠗⠕⠏⠕⠎⠊⠞⠊⠕⠝⠎⠀⠠⠁⠗⠉⠓⠊⠍⠑⠙⠑⠎⠀⠋⠊⠝⠙⠎⠀⠶⠠⠏⠗⠕⠏⠎⠲⠀
⠼⠁⠉⠂⠀⠼⠁⠙⠶⠀⠞⠓⠑⠀⠁⠗⠑⠁⠀⠕⠋⠀⠞⠓⠑⠀⠎⠥⠗⠋⠁⠉⠑⠎⠀⠶⠼⠁⠶⠀
⠕⠋⠀⠁⠀⠗⠊⠛⠓⠞⠀⠉⠽⠇⠊⠝⠙⠑⠗⠂⠀⠶⠼⠃⠶⠀⠕⠋⠀⠁⠀⠗⠊⠛⠓⠞⠀
⠉⠕⠝⠑⠲⠀⠠⠞⠓⠑⠝⠂⠀⠁⠋⠞⠑⠗⠀⠟⠥⠕⠞⠊⠝⠛⠀⠉⠑⠗⠞⠁⠊⠝⠀
⠠⠑⠥⠉⠇⠊⠙⠑⠁⠝⠀⠏⠗⠕⠏⠕⠎⠊⠞⠊⠕⠝⠎⠀⠁⠃⠕⠥⠞⠀⠉⠕⠝⠑⠎⠀⠁⠝⠙⠀
⠉⠽⠇⠊⠝⠙⠑⠗⠎⠂⠀⠓⠑⠀⠏⠁⠎⠎⠑⠎⠀⠞⠕⠀⠞⠓⠑⠀⠍⠁⠊⠝⠀
⠃⠥⠎⠊⠝⠑⠎⠎⠀⠕⠋⠀⠞⠓⠑⠀⠃⠕⠕⠅⠂⠀⠞⠓⠑⠀⠍⠑⠁⠎⠥⠗⠑⠍⠑⠝⠞⠀⠕⠋
⠀⠞⠓⠑⠀⠧⠕⠇⠥⠍⠑⠀⠁⠝⠙⠀⠎⠥⠗⠋⠁⠉⠑⠀⠕⠋⠀⠁⠀⠎⠏⠓⠑⠗⠑⠀⠁⠝⠙⠀
⠁⠀⠎⠑⠛⠍⠑⠝⠞⠀⠕⠋⠀⠁⠀⠎⠏⠓⠑⠗⠑⠲⠀⠠⠃⠽⠀
⠉⠊⠗⠉⠥⠍⠎⠉⠗⠊⠃⠊⠝⠛⠀⠁⠝⠙⠀⠊⠝⠎⠉⠗⠊⠃⠊⠝⠛⠀⠞⠕⠀⠁⠀⠛⠗⠑⠁⠞
⠀⠉⠊⠗⠉⠇⠑⠀⠁⠀⠗⠑⠛⠥⠇⠁⠗⠀⠏⠕⠇⠽⠛⠕⠝⠀⠕⠋⠀⠁⠝⠀⠑⠧⠑⠝⠀
⠝⠥⠍⠃⠑⠗⠀⠕⠋⠀⠎⠊⠙⠑⠎⠀⠁⠝⠙⠀⠍⠁⠅⠊⠝⠛⠀⠊⠞⠀⠗⠑⠧⠕⠇⠧⠑⠀
⠁⠃⠕⠥⠞⠀⠁⠀⠙⠊⠁⠍⠑⠞⠑⠗⠀⠉⠕⠝⠝⠑⠉⠞⠊⠝⠛⠀⠞⠺⠕⠀⠕⠏⠏⠕⠎⠊⠞⠑
⠀⠁⠝⠛⠥⠇⠁⠗⠀⠏⠕⠊⠝⠞⠎⠀⠓⠑⠀⠕⠃⠞⠁⠊⠝⠎⠀⠎⠕⠇⠊⠙⠎⠀⠕⠋⠀
⠗⠑⠧⠕⠇⠥⠞⠊⠕⠝⠀⠛⠗⠑⠁⠞⠑⠗⠀⠁⠝⠙⠀⠇⠑⠎⠎⠀⠗⠑⠎⠏⠑⠉⠞⠊⠧⠑⠇⠽
⠀⠞⠓⠁⠝⠀⠞⠓⠑⠀⠎⠏⠓⠑⠗⠑⠲⠀⠠⠊⠝⠀⠁⠀⠎⠑⠗⠊⠑⠎⠀⠕⠋⠀
⠏⠗⠕⠏⠕⠎⠊⠞⠊⠕⠝⠎⠀⠓⠑⠀⠋⠊⠝⠙⠎⠀⠑⠭⠏⠗⠑⠎⠎⠊⠕⠝⠎⠀⠋⠕⠗⠀
⠶⠁⠶⠀⠞⠓⠑⠀⠎⠥⠗⠋⠁⠉⠑⠎⠂⠀⠶⠃⠶⠀⠞⠓⠑⠀⠧⠕⠇⠥⠍⠑⠎⠂⠀⠕⠋⠀
⠞⠓⠑⠀⠋⠊⠛⠥⠗⠑⠎⠀⠎⠕⠀⠊⠝⠎⠉⠗⠊⠃⠑⠙⠀⠁⠝⠙⠀

These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.