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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.