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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.