Library / Mathematics / An essay on the foundations of geometry / Braille
An essay on the foundations of geometry ⠃⠗⠋ 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.
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430,699 braille cells · 453 embossed pages at 40×25 · 2,394 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.