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Amusements in Mathematics ⠃⠗⠋ 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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821,176 braille cells · 847 embossed pages at 40×25 · 15,933 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.