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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.