Skip to content

Library / Mathematics / The First 1000 Euler Numbers / Braille

The First 1000 Euler Numbers ⠃⠗⠋ 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

578,530 braille cells · 833 embossed pages at 40×25 · 114 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.