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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.

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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.