Library / Mathematics / The Hindu-Arabic Numerals / Braille
The Hindu-Arabic Numerals ⠃⠗⠋ 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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286,576 braille cells · 302 embossed pages at 40×25 · 7,663 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.