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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.

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718,009 braille cells · 762 embossed pages at 40×25 · 2,246 unrepresentable characters omitted

⠏⠓⠁⠝⠞⠁⠎⠍⠀⠍⠥⠎⠞⠀⠁⠇⠺⠁⠽⠎⠀⠁⠉⠉⠕⠍⠏⠁⠝⠽⠀⠀
⠊⠝⠞⠑⠇⠇⠊⠛⠑⠝⠉⠑⠆⠀⠃⠥⠞⠀⠞⠓⠊⠎⠀⠊⠎⠀⠙⠑⠝⠊⠑⠙⠀⠃⠽⠀⠞⠓⠑⠀
⠠⠏⠇⠁⠞⠕⠝⠊⠎⠞⠎⠂⠀⠁⠝⠙⠀⠠⠊⠀⠞⠓⠊⠝⠅⠀⠺⠊⠞⠓⠀⠀⠛⠗⠑⠁⠞⠀
⠗⠑⠁⠎⠕⠝⠲⠀⠠⠋⠕⠗⠀⠞⠓⠑⠀⠕⠏⠑⠗⠁⠞⠊⠕⠝⠎⠀⠕⠋⠀⠊⠝⠞⠑⠇⠇⠑⠉⠞
⠀⠁⠗⠑⠀⠝⠕⠞⠀⠙⠑⠏⠑⠝⠙⠑⠝⠞⠀⠕⠝⠀⠀⠞⠓⠑⠀⠏⠓⠁⠝⠞⠁⠎⠽⠂⠀
⠞⠓⠕⠥⠛⠓⠀⠞⠓⠑⠀⠏⠑⠗⠉⠑⠏⠞⠊⠕⠝⠎⠀⠕⠋⠀⠞⠓⠑⠀⠇⠁⠞⠞⠑⠗⠀
⠏⠗⠕⠉⠑⠑⠙⠀⠋⠗⠕⠍⠀⠞⠓⠑⠀⠀⠑⠝⠑⠗⠛⠊⠑⠎⠀⠕⠋⠀⠞⠓⠑⠀
⠋⠕⠗⠍⠑⠗⠲⠀⠠⠃⠑⠎⠊⠙⠑⠎⠂⠀⠁⠎⠀⠠⠏⠇⠕⠞⠊⠝⠥⠎⠀
⠃⠑⠁⠥⠞⠊⠋⠥⠇⠇⠽⠀⠕⠃⠎⠑⠗⠧⠑⠎⠂⠀⠕⠥⠗⠀⠀⠍⠕⠎⠞⠀⠧⠊⠛⠕⠗⠕⠥⠎
⠀⠑⠝⠑⠗⠛⠊⠑⠎⠀⠁⠗⠑⠀⠁⠉⠉⠕⠍⠏⠁⠝⠊⠑⠙⠀⠺⠊⠞⠓⠀⠞⠓⠑⠀⠇⠑⠁⠎⠞
⠀⠁⠝⠊⠍⠁⠙⠧⠑⠗⠎⠊⠕⠝⠆⠀⠀⠁⠝⠙⠀⠞⠓⠑⠗⠑⠀⠊⠎⠀⠝⠕⠀
⠁⠃⠎⠥⠗⠙⠊⠞⠽⠀⠊⠝⠀⠎⠥⠏⠏⠕⠎⠊⠝⠛⠀⠞⠓⠁⠞⠀⠃⠽⠀
⠊⠝⠉⠗⠑⠁⠎⠊⠝⠛⠀⠞⠓⠑⠀⠋⠕⠗⠉⠑⠀⠕⠋⠀⠀⠊⠝⠞⠑⠇⠇⠑⠉⠞⠥⠁⠇⠀
⠑⠝⠑⠗⠛⠽⠂⠀⠺⠑⠀⠍⠁⠽⠀⠎⠏⠑⠉⠥⠇⠁⠞⠑⠀⠋⠗⠑⠑⠀⠋⠗⠕⠍⠀⠁⠇⠇⠀
⠊⠍⠁⠛⠊⠝⠁⠞⠊⠕⠝⠆⠀⠎⠊⠝⠉⠑⠀⠀⠞⠓⠑⠀⠏⠓⠁⠝⠞⠁⠎⠍⠎⠀
⠁⠞⠞⠑⠝⠙⠊⠝⠛⠀⠕⠥⠗⠀⠉⠕⠝⠉⠑⠏⠞⠊⠕⠝⠎⠂⠀⠃⠑⠉⠁⠍⠑⠀⠺⠑⠁⠅⠀
⠊⠝⠀⠏⠗⠕⠏⠕⠗⠞⠊⠕⠝⠀⠀⠁⠎⠀⠞⠓⠑⠀⠊⠝⠞⠑⠇⠇⠑⠉⠞⠥⠁⠇⠀⠎⠊⠛⠓⠞
⠀⠊⠝⠉⠗⠑⠁⠎⠑⠎⠀⠊⠝⠀⠧⠊⠛⠕⠥⠗⠲⠀⠠⠕⠝⠀⠞⠓⠊⠎⠀⠁⠉⠉⠕⠥⠝⠞⠂⠀
⠞⠓⠑⠀⠀⠠⠏⠇⠁⠞⠕⠝⠊⠎⠞⠎⠀⠁⠋⠋⠊⠗⠍⠂⠀⠞⠓⠁⠞⠀⠞⠓⠑⠀⠍⠕⠗⠁⠇⠀
⠧⠊⠗⠞⠥⠑⠎⠀⠋⠗⠑⠑⠀⠥⠎⠀⠋⠗⠕⠍⠀⠞⠓⠑⠀⠧⠑⠓⠑⠍⠑⠝⠉⠑⠀⠀⠕⠋⠀
⠏⠑⠗⠞⠥⠗⠃⠁⠞⠊⠕⠝⠎⠆⠀⠃⠥⠞⠀⠞⠓⠑⠀⠉⠕⠝⠞⠑⠍⠏⠇⠁⠞⠊⠧⠑⠀
⠋⠗⠕⠍⠀⠊⠍⠁⠛⠊⠝⠁⠞⠊⠕⠝⠂⠀⠁⠝⠙⠀⠞⠓⠑⠀⠀⠎⠑⠝⠎⠑⠎⠲⠀
⠠⠓⠑⠝⠉⠑⠀⠞⠕⠕⠂⠀⠞⠓⠑⠀⠎⠉⠊⠑⠝⠉⠑⠎⠀⠍⠁⠽⠀⠃⠑⠀⠉⠁⠇⠇⠑⠙⠀
⠇⠊⠧⠊⠝⠛⠀⠺⠁⠞⠑⠗⠎⠆⠀⠊⠝⠀⠺⠓⠊⠉⠓⠀⠀⠞⠓⠑⠀⠺⠊⠝⠛⠎⠀⠕⠋⠀
⠞⠓⠑⠀⠎⠕⠥⠇⠀⠃⠑⠊⠝⠛⠀⠙⠊⠏⠞⠂⠀⠓⠑⠗⠀⠋⠑⠁⠞⠓⠑⠗⠎⠂⠀⠺⠓⠊⠉⠓

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