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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.