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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1,038,518 braille cells · 1,501 embossed pages at 40×25 · 6 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.