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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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