Library / Mathematics / The number -e- / Braille
The number -e- ⠃⠗⠋ braille edition
Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.
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1,038,426 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.