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Die Grundlagen der Arithmetik ⠃⠗⠋ 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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237,849 braille cells · 250 embossed pages at 40×25 · 4,781 unrepresentable characters omitted

⠼⠁⠁⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚⠁⠲⠀⠠⠙⠊⠑⠀⠠⠍⠛⠇⠊⠡⠅⠑⠊⠞⠀⠑⠔⠑⠎⠀
⠎⠕⠇⠡⠢⠀⠠⠝⠁⠡⠺⠑⠊⠎⠑⠎⠀⠊⠌⠀⠋⠗⠀⠙⠊⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠅⠗⠁⠋⠞⠀⠑⠔⠑⠎⠀⠠⠃⠑⠺⠑⠊⠎⠑⠎⠀⠝⠊⠡⠞⠀⠛⠇⠑⠊⠡⠛⠊⠇⠞⠊⠛⠀⠀
⠼⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚⠃⠲⠀⠠⠙⠊⠑⠀⠃⠇⠕⠎⠎⠑⠀⠠⠿⠙⠻⠥⠝⠛⠂⠀
⠑⠎⠀⠎⠕⠇⠇⠑⠀⠑⠔⠑⠀⠠⠕⠏⠻⠁⠞⠊⠕⠝⠀⠁⠥⠎⠋⠓⠗⠃⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠑⠔⠂⠀⠊⠌⠀⠝⠊⠡⠞⠀⠊⠓⠗⠑⠀⠠⠑⠗⠋⠇⠇⠥⠝⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠼⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚⠉⠲⠀⠠⠅⠕⠎⠎⠁⠅⠎⠀⠠⠑⠗⠅⠇⠗⠥⠝⠛⠀⠙⠻
⠀⠉⠕⠍⠏⠇⠑⠭⠢⠀⠠⠵⠁⠓⠇⠢⠀⠊⠌⠀⠝⠥⠗⠀⠑⠔⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠁⠝⠺⠑⠊⠎⠥⠝⠛⠀⠵⠥⠗⠀⠠⠙⠑⠋⠔⠊⠞⠊⠕⠝⠀⠥⠝⠙⠀⠧⠻⠍⠑⠊⠙⠑⠞⠀
⠝⠊⠡⠞⠀⠙⠊⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⠔⠍⠊⠎⠡⠥⠝⠛⠀⠧⠕⠝⠀
⠠⠋⠗⠑⠍⠙⠜⠞⠊⠛⠑⠍⠲⠀⠠⠙⠊⠑⠀⠛⠑⠕⠍⠑⠞⠗⠊⠎⠡⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠙⠜⠌⠑⠇⠇⠥⠝⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠼⠁⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚⠙⠲⠀⠠⠑⠎⠀⠅⠕⠍⠍⠞⠀⠙⠜⠁⠥⠋⠀⠁⠝⠂⠀
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⠠⠺⠊⠫⠻⠻⠅⠢⠝⠥⠝⠛⠎⠥⠗⠮⠊⠇⠎⠀⠋⠗⠀⠙⠊⠑⠀⠝⠑⠥⠢⠀⠠⠵⠁⠓⠇⠢⠀⠀
⠋⠑⠌⠵⠥⠎⠑⠞⠵⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠼⠁⠁⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚⠑⠲⠀⠠⠙⠻⠀⠠⠗⠑⠊⠵⠀⠙⠻⠀
⠠⠁⠗⠊⠹⠍⠑⠞⠊⠅⠀⠇⠊⠑⠛⠞⠀⠔⠀⠊⠓⠗⠑⠍⠀⠠⠧⠻⠝⠥⠝⠋⠞⠡⠜⠁⠅⠞⠻⠀
⠼⠁⠁⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚⠋⠤⠁⠚⠊⠲⠀⠠⠗⠉⠅⠃⠇⠊⠉⠅⠀⠀⠀⠀⠀⠀⠀⠀
⠼⠁⠁⠑⠤⠁⠁⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⠔⠇⠑⠊⠞⠥⠝⠛⠲⠀⠀⠀⠀⠀⠀⠀
⠠⠁⠥⠋⠀⠙⠊⠑⠀⠠⠋⠗⠁⠛⠑⠂⠀⠴⠀⠙⠊⠑⠀⠠⠵⠁⠓⠇⠀⠠⠑⠔⠎⠀⠎⠑⠊⠂⠀
⠕⠙⠻⠀⠴⠀⠙⠁⠎⠀⠀⠀⠀⠀⠀⠠⠵⠑⠊⠡⠢⠀⠼⠁⠀⠃⠫⠑⠥⠞⠑⠂⠀⠺⠊⠗⠙⠀
⠍⠁⠝⠀⠍⠑⠊⠌⠢⠎⠀⠙⠊⠑⠀⠠⠁⠝⠞⠺⠕⠗⠞⠀⠑⠗⠓⠁⠇⠞⠢⠒⠀⠀⠀⠀⠀⠀
⠝⠥⠝⠂⠀⠑⠔⠀⠠⠙⠬⠲⠀⠠⠥⠝⠙⠀⠺⠢⠝⠀⠍⠁⠝⠀⠙⠁⠝⠝⠀⠙⠜⠁⠥⠋⠀
⠁⠥⠋⠍⠻⠅⠎⠁⠍⠀⠀⠀⠀⠀⠀⠍⠁⠡⠞⠂⠀⠙⠁⠎⠎⠀⠙⠻⠀⠠⠎⠁⠞⠵⠀⠀⠀⠀⠀⠀

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.