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.
Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt
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.