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Library / Mathematics / The Number "e" / Braille

The Number "e" ⠃⠗⠋ 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

108,096 braille cells · 201 embossed pages at 40×25 · 2 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.