Library / Mathematics / The Number "e" / Braille
The Number "e" ⠃⠗⠋ 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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108,096 braille cells · 201 embossed pages at 40×25 · 2 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.