Library / Mathematics / Miscellaneous Mathematical Constants / Braille
Miscellaneous Mathematical Constants ⠃⠗⠋ 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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466,804 braille cells · 509 embossed pages at 40×25 · 459 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.