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.
Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt
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.