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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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