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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.