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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.