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An essay on the foundations of geometry ⠃⠗⠋ 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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430,699 braille cells · 453 embossed pages at 40×25 · 2,394 unrepresentable characters omitted

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

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