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Amusements in Mathematics ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

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971,552 braille cells · 1,011 embossed pages at 40×25 · 15,933 unrepresentable characters omitted

⠀⠑⠝⠙⠑⠙⠀⠺⠊⠞⠓⠀⠁⠀⠼⠃⠂⠀⠼⠉⠂⠀⠼⠛⠂⠀⠕⠗⠀⠼⠓⠀⠊⠝⠀⠞⠓⠑⠀
⠙⠊⠛⠊⠞⠎⠀⠏⠇⠁⠉⠑⠂⠀⠕⠋⠀⠉⠕⠥⠗⠎⠑⠀⠓⠑⠀⠺⠕⠥⠇⠙⠀⠅⠝⠕⠺⠀
⠞⠓⠁⠞⠀⠊⠞⠀⠉⠕⠥⠇⠙⠀⠝⠕⠞⠀⠃⠑⠀⠁⠀⠎⠟⠥⠁⠗⠑⠂⠀⠃⠥⠞⠀⠞⠓⠑⠗⠑
⠀⠊⠎⠀⠝⠕⠞⠓⠊⠝⠛⠀⠊⠝⠀⠊⠞⠎⠀⠁⠏⠏⠁⠗⠑⠝⠞⠀⠋⠕⠗⠍⠀⠞⠕⠀
⠏⠗⠑⠧⠑⠝⠞⠀⠊⠞⠎⠀⠃⠑⠊⠝⠛⠀⠕⠝⠑⠲⠀⠠⠊⠀⠎⠥⠎⠏⠑⠉⠞⠀⠞⠓⠁⠞⠀
⠊⠝⠀⠎⠥⠉⠓⠀⠁⠀⠉⠁⠎⠑⠀⠓⠑⠀⠺⠕⠥⠇⠙⠀⠎⠑⠞⠀⠞⠕⠀⠺⠕⠗⠅⠂⠀
⠺⠊⠞⠓⠀⠁⠀⠎⠊⠛⠓⠀⠕⠗⠀⠁⠀⠛⠗⠕⠁⠝⠂⠀⠁⠞⠀⠞⠓⠑⠀⠇⠁⠃⠕⠗⠊⠕⠥⠎
⠀⠞⠁⠎⠅⠀⠕⠋⠀⠑⠭⠞⠗⠁⠉⠞⠊⠝⠛⠀⠞⠓⠑⠀⠎⠟⠥⠁⠗⠑⠀⠗⠕⠕⠞⠲⠀
⠠⠽⠑⠞⠀⠊⠋⠀⠓⠑⠀⠓⠁⠙⠀⠛⠊⠧⠑⠝⠀⠁⠀⠇⠊⠞⠞⠇⠑⠀⠁⠞⠞⠑⠝⠞⠊⠕⠝⠀
⠞⠕⠀⠞⠓⠑⠀⠎⠞⠥⠙⠽⠀⠕⠋⠀⠞⠓⠑⠀⠙⠊⠛⠊⠞⠁⠇⠀⠏⠗⠕⠏⠑⠗⠞⠊⠑⠎⠀
⠕⠋⠀⠝⠥⠍⠃⠑⠗⠎⠂⠀⠓⠑⠀⠺⠕⠥⠇⠙⠀⠎⠑⠞⠞⠇⠑⠀⠞⠓⠑⠀⠟⠥⠑⠎⠞⠊⠕⠝
⠀⠊⠝⠀⠞⠓⠊⠎⠀⠎⠊⠍⠏⠇⠑⠀⠺⠁⠽⠲⠀⠠⠞⠓⠑⠀⠎⠥⠍⠀⠕⠋⠀⠞⠓⠑⠀
⠙⠊⠛⠊⠞⠎⠀⠊⠎⠀⠼⠑⠊⠂⠀⠞⠓⠑⠀⠎⠥⠍⠀⠕⠋⠀⠺⠓⠊⠉⠓⠀⠊⠎⠀⠼⠁⠙⠂⠀
⠞⠓⠑⠀⠎⠥⠍⠀⠕⠋⠀⠺⠓⠊⠉⠓⠀⠊⠎⠀⠼⠑⠀⠶⠺⠓⠊⠉⠓⠀⠠⠊⠀⠉⠁⠇⠇⠀
⠞⠓⠑⠀⠙⠊⠛⠊⠞⠁⠇⠀⠗⠕⠕⠞⠶⠂⠀⠁⠝⠙⠀⠞⠓⠑⠗⠑⠋⠕⠗⠑⠀⠠⠊⠀⠅⠝⠕⠺
⠀⠞⠓⠁⠞⠀⠞⠓⠑⠀⠝⠥⠍⠃⠑⠗⠀⠉⠁⠝⠝⠕⠞⠀⠃⠑⠀⠁⠀⠎⠟⠥⠁⠗⠑⠂⠀⠁⠝⠙
⠀⠋⠕⠗⠀⠞⠓⠊⠎⠀⠗⠑⠁⠎⠕⠝⠲⠀⠠⠞⠓⠑⠀⠙⠊⠛⠊⠞⠁⠇⠀⠗⠕⠕⠞⠀⠕⠋⠀
⠎⠥⠉⠉⠑⠎⠎⠊⠧⠑⠀⠎⠟⠥⠁⠗⠑⠀⠝⠥⠍⠃⠑⠗⠎⠀⠋⠗⠕⠍⠀⠼⠁⠀
⠥⠏⠺⠁⠗⠙⠎⠀⠊⠎⠀⠁⠇⠺⠁⠽⠎⠀⠼⠁⠂⠀⠼⠙⠂⠀⠼⠛⠂⠀⠕⠗⠀⠼⠊⠂⠀⠁⠝⠙
⠀⠉⠁⠝⠀⠝⠑⠧⠑⠗⠀⠃⠑⠀⠁⠝⠽⠞⠓⠊⠝⠛⠀⠑⠇⠎⠑⠲⠀⠠⠊⠝⠀⠋⠁⠉⠞⠂⠀
⠞⠓⠑⠀⠎⠑⠗⠊⠑⠎⠂⠀⠼⠁⠂⠀⠼⠙⠂⠀⠼⠊⠂⠀⠼⠛⠂⠀⠼⠛⠂⠀⠼⠊⠂⠀⠼⠙⠂⠀
⠼⠁⠂⠀⠼⠊⠂⠀⠊⠎⠀⠗⠑⠏⠑⠁⠞⠑⠙⠀⠊⠝⠞⠕⠀⠊⠝⠋⠊⠝⠊⠞⠽⠲⠀⠠⠞⠓⠑⠀
⠁⠝⠁⠇⠕⠛⠕⠥⠎⠀⠎⠑⠗⠊⠑⠎⠀⠋⠕⠗⠀⠞⠗⠊⠁⠝⠛⠥⠇⠁⠗⠀⠝⠥⠍⠃⠑⠗⠎⠀
⠊⠎⠀⠼⠁⠂⠀⠼⠉⠂⠀⠼⠋⠂⠀⠼⠁⠂⠀⠼⠋⠂⠀⠼⠉⠂⠀⠼⠁⠂⠀⠼⠊⠂⠀⠼⠊⠲⠀
⠠⠎⠕⠀⠓⠑⠗⠑⠀⠺⠑⠀⠓⠁⠧⠑⠀⠁⠀⠎⠊⠍⠊⠇⠁⠗⠀⠝⠑⠛⠁⠞⠊⠧⠑⠀

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