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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.