Skip to contentSkip to Braille Studio

Library / Mathematics / The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) / Braille

The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

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

718,009 braille cells · 762 embossed pages at 40×25 · 2,246 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.