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Library / Mathematics / The Number "e" / Braille

The Number "e" ⠃⠗⠋ 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.

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

108,011 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.