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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.