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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.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

286,576 braille cells · 302 embossed pages at 40×25 · 9,523 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.