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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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⠙⠊⠋⠋⠻⠀⠋⠀⠞⠀⠀⠱⠊⠡⠀⠺⠳⠇⠙⠀⠗⠑⠎⠥⠇⠞⠀⠊⠋⠀⠮⠀
⠙⠊⠍⠢⠎⠊⠕⠝⠎⠀⠷⠀⠃⠕⠙⠊⠑⠎⠀⠶⠀⠥⠝⠡⠁⠝⠛⠫⠀⠔⠀⠀⠍⠕⠞⠊⠕⠝⠲⠀
⠠⠮⠗⠑⠿⠑⠂⠀⠎⠔⠉⠑⠀⠍⠁⠛⠝⠊⠞⠥⠙⠑⠀⠊⠎⠀⠕⠝⠇⠽⠀
⠊⠝⠞⠑⠇⠇⠊⠛⠊⠃⠇⠑⠀⠵⠀⠮⠀⠗⠑⠎⠥⠇⠞⠀⠀⠷⠀⠉⠕⠍⠏⠜⠊⠎⠕⠝⠂⠀⠮⠀
⠙⠊⠍⠢⠎⠊⠕⠝⠎⠀⠷⠀⠃⠕⠙⠊⠑⠎⠀⠁⠗⠑⠀⠥⠝⠡⠁⠝⠛⠫⠀⠔⠀⠍⠕⠞⠊⠕⠝⠂

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