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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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