Library / Mathematics / Amusements in Mathematics / Braille
Amusements in Mathematics ⠃⠗⠋ 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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821,176 braille cells · 847 embossed pages at 40×25 · 15,933 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.