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.
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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.