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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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