Library / Mathematics / The Number Concept / Braille
The Number Concept ⠃⠗⠋ 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.
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294,321 braille cells · 307 embossed pages at 40×25 · 4,849 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.