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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.