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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

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

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

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