Library / Mathematics / Archimedes / Braille
Archimedes ⠃⠗⠋ 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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87,437 braille cells · 93 embossed pages at 40×25 · 405 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.