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.
Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt
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.