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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 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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590,989 braille cells · 621 embossed pages at 40×25 · 2,246 unrepresentable characters omitted

⠎⠑⠇⠋⠤⠑⠧⠊⠙⠢⠞⠀⠞⠗⠥⠹⠆⠀⠕⠗⠀⠞⠕⠀⠁⠝⠽⠀⠷⠀⠮⠀
⠏⠗⠕⠏⠕⠎⠊⠞⠊⠕⠝⠎⠀⠷⠀⠠⠑⠥⠉⠇⠊⠙⠲⠀⠀⠠⠃⠀⠃⠽⠀⠱⠁⠞⠀⠍⠑⠹⠕⠙
⠀⠍⠁⠽⠀⠺⠑⠀⠙⠊⠎⠉⠕⠧⠻⠀⠱⠑⠮⠗⠀⠕⠥⠗⠀⠙⠑⠍⠕⠝⠌⠗⠁⠞⠊⠕⠝⠀⠊⠎
⠀⠷⠀⠀⠹⠊⠎⠀⠛⠗⠑⠁⠞⠻⠀⠕⠗⠀⠇⠑⠎⠎⠻⠀⠁⠇⠇⠦⠀⠠⠺⠑⠀⠁⠝⠎⠺⠻⠂⠀
⠞⠀⠛⠢⠻⠁⠇⠀⠁⠋⠋⠑⠉⠞⠊⠕⠝⠀⠱⠊⠡⠀⠀⠉⠕⠝⠌⠊⠞⠥⠞⠑⠎⠀
⠥⠝⠊⠧⠻⠎⠁⠇⠀⠙⠑⠍⠕⠝⠌⠗⠁⠞⠊⠕⠝⠀⠊⠎⠀⠁⠇⠺⠁⠽⠎⠀⠏⠗⠑⠎⠢⠞⠀
⠞⠕⠀⠞⠀⠎⠥⠃⠚⠑⠉⠞⠂⠀⠀⠱⠊⠡⠀⠱⠢⠀⠞⠁⠅⠢⠀⠁⠺⠁⠽⠂⠀⠮⠀
⠏⠗⠫⠊⠉⠁⠞⠑⠀⠊⠎⠀⠊⠍⠍⠫⠊⠁⠞⠑⠇⠽⠀⠙⠑⠌⠗⠕⠽⠫⠂⠀⠃⠑⠉⠁⠥⠎⠑⠀
⠮⠀⠋⠊⠗⠌⠀⠷⠀⠁⠇⠇⠀⠊⠞⠎⠀⠊⠝⠓⠻⠢⠞⠀⠏⠗⠕⠏⠻⠞⠊⠑⠎⠲⠀⠀⠀⠀
⠠⠹⠥⠎⠂⠀⠿⠀⠊⠝⠌⠁⠝⠉⠑⠂⠀⠐⠎⠀⠏⠜⠞⠊⠉⠥⠇⠜⠀⠎⠢⠎⠊⠃⠇⠑⠀
⠞⠗⠊⠁⠝⠛⠇⠑⠀⠏⠕⠎⠎⠑⠎⠎⠑⠎⠀⠘⠮⠀⠀⠏⠗⠕⠏⠻⠞⠊⠑⠎⠒⠤⠤⠭⠀
⠉⠕⠝⠎⠊⠌⠎⠀⠷⠀⠃⠗⠁⠎⠎⠆⠀⠭⠀⠊⠎⠀⠎⠉⠁⠇⠢⠑⠆⠀⠭⠀⠊⠎⠀⠁⠀
⠞⠗⠊⠁⠝⠛⠇⠑⠲⠀⠠⠮⠀⠀⠟⠥⠻⠽⠀⠊⠎⠂⠀⠃⠽⠀⠱⠊⠡⠀⠷⠀⠘⠮⠀⠺⠑⠀⠓⠀
⠚⠀⠝⠪⠀⠑⠝⠥⠍⠻⠁⠞⠫⠂⠀⠹⠊⠎⠀⠁⠋⠋⠑⠉⠞⠊⠕⠝⠀⠀⠷⠀⠏⠕⠎⠎⠑⠎⠎⠬
⠀⠁⠝⠛⠇⠑⠎⠀⠑⠟⠥⠁⠇⠀⠞⠕⠀⠞⠺⠕⠀⠐⠗⠀⠊⠎⠀⠏⠗⠫⠊⠉⠁⠞⠫⠀⠷⠀⠮⠀
⠞⠗⠊⠁⠝⠛⠇⠑⠦⠀⠀⠠⠞⠁⠅⠑⠀⠁⠺⠁⠽⠀⠮⠀⠃⠗⠁⠎⠎⠂⠀⠙⠀⠽⠀⠃⠽⠀
⠹⠊⠎⠀⠍⠑⠁⠝⠎⠀⠙⠑⠌⠗⠕⠽⠀⠮⠀⠑⠟⠥⠁⠇⠊⠞⠽⠀⠷⠀⠊⠞⠎⠀⠀
⠁⠝⠛⠇⠑⠎⠀⠞⠕⠀⠞⠺⠕⠀⠐⠗⠀⠕⠝⠑⠎⠦⠀⠠⠉⠻⠞⠁⠔⠇⠽⠀⠝⠒⠤⠤⠞⠁⠅⠑
⠀⠁⠺⠁⠽⠀⠊⠞⠎⠀⠎⠉⠁⠇⠢⠊⠞⠽⠂⠀⠽⠑⠞⠀⠀⠹⠊⠎⠀⠛⠢⠻⠁⠇⠀
⠁⠋⠋⠑⠉⠞⠊⠕⠝⠀⠗⠑⠍⠁⠔⠎⠒⠀⠇⠁⠌⠇⠽⠂⠀⠞⠁⠅⠑⠀⠁⠺⠁⠽⠀⠊⠞⠎⠀
⠞⠗⠊⠁⠝⠛⠥⠇⠜⠊⠞⠽⠂⠀⠀⠯⠀⠮⠝⠀⠽⠀⠝⠑⠉⠑⠎⠎⠜⠊⠇⠽⠀⠙⠑⠌⠗⠕⠽⠀
⠮⠀⠏⠗⠫⠊⠉⠁⠞⠑⠆⠀⠿⠀⠝⠕⠀⠇⠕⠝⠛⠻⠀⠉⠀⠹⠊⠎⠀⠀⠏⠗⠕⠏⠻⠞⠽⠀
⠗⠑⠍⠁⠔⠂⠀⠊⠋⠀⠭⠀⠉⠑⠁⠎⠑⠎⠀⠞⠕⠀⠃⠑⠀⠁⠀⠞⠗⠊⠁⠝⠛⠇⠑⠲⠀⠀⠀⠀
⠠⠃⠀⠏⠻⠓⠁⠏⠎⠀⠐⠎⠀⠍⠁⠽⠀⠕⠃⠚⠑⠉⠞⠀⠋⠀⠹⠊⠎⠀⠗⠑⠁⠎⠕⠝⠬⠂⠀
⠎⠥⠡⠀⠁⠀⠛⠢⠻⠁⠇⠀⠀⠁⠋⠋⠑⠉⠞⠊⠕⠝⠀⠑⠭⠞⠢⠙⠎⠀⠞⠕⠀⠋⠊⠛⠥⠗⠑⠂

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