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Elements of arithmetic ⠃⠗⠋ 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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436,195 braille cells · 442 embossed pages at 40×25 · 10,650 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.