Library / Mathematics / The First 498 Bernoulli Numbers / Braille
The First 498 Bernoulli Numbers ⠃⠗⠋ 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
89,968 braille cells · 126 embossed pages at 40×25 · 4 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.