Library / Mathematics / Miscellaneous Mathematical Constants / Braille
Miscellaneous Mathematical Constants ⠃⠗⠋ 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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468,225 braille cells · 510 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.