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An essay on the foundations of geometry ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

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504,362 braille cells · 533 embossed pages at 40×25 · 2,394 unrepresentable characters omitted

⠠⠇⠑⠊⠏⠵⠊⠛⠂⠀⠼⠁⠓⠊⠙⠂⠀⠏⠲⠀⠼⠋⠉⠋⠲⠶⠀⠠⠓⠊⠎⠀⠗⠑⠎⠥⠇⠞⠎⠀
⠊⠝⠉⠇⠥⠙⠑⠙⠀⠎⠏⠓⠑⠗⠊⠉⠁⠇⠀⠁⠎⠀⠺⠑⠇⠇⠀⠁⠎⠀⠀
⠓⠽⠏⠑⠗⠃⠕⠇⠊⠉⠀⠎⠏⠁⠉⠑⠆⠀⠃⠥⠞⠀⠞⠓⠑⠽⠀⠁⠇⠁⠗⠍⠑⠙⠀⠓⠊⠍⠀
⠞⠕⠀⠎⠥⠉⠓⠀⠁⠝⠀⠑⠭⠞⠑⠝⠞⠀⠞⠓⠁⠞⠀⠓⠑⠀⠀⠙⠑⠧⠕⠞⠑⠙⠀⠞⠓⠑⠀
⠇⠁⠎⠞⠀⠓⠁⠇⠋⠀⠕⠋⠀⠓⠊⠎⠀⠃⠕⠕⠅⠀⠞⠕⠀⠙⠊⠎⠏⠗⠕⠧⠊⠝⠛⠀
⠞⠓⠑⠍⠲⠀⠀⠀⠀⠼⠛⠀⠠⠅⠇⠑⠊⠝⠄⠎⠀⠋⠊⠗⠎⠞⠀⠁⠉⠉⠕⠥⠝⠞⠀⠕⠋⠀
⠑⠇⠇⠊⠏⠞⠊⠉⠀⠠⠛⠑⠕⠍⠑⠞⠗⠽⠂⠀⠁⠎⠀⠁⠀⠗⠑⠎⠥⠇⠞⠀⠕⠋⠀⠀
⠠⠉⠁⠽⠇⠑⠽⠄⠎⠀⠏⠗⠕⠚⠑⠉⠞⠊⠧⠑⠀⠞⠓⠑⠕⠗⠽⠀⠕⠋⠀⠙⠊⠎⠞⠁⠝⠉⠑⠂
⠀⠁⠏⠏⠑⠁⠗⠑⠙⠀⠊⠝⠀⠞⠺⠕⠀⠁⠗⠞⠊⠉⠇⠑⠎⠀⠀⠑⠝⠞⠊⠞⠇⠑⠙⠀
⠠⠥⠑⠃⠑⠗⠀⠙⠊⠑⠀⠎⠕⠛⠑⠝⠁⠝⠝⠞⠑⠀
⠠⠝⠊⠉⠓⠞⠤⠠⠑⠥⠅⠇⠊⠙⠊⠎⠉⠓⠑⠀⠠⠛⠑⠕⠍⠑⠞⠗⠊⠑⠂⠀⠠⠊⠂⠀⠀
⠠⠠⠊⠊⠂⠀⠠⠍⠁⠞⠓⠲⠀⠠⠁⠝⠝⠁⠇⠑⠝⠀⠼⠙⠂⠀⠼⠋⠀⠶⠼⠁⠓⠛⠁⠤⠃⠶⠲⠀
⠠⠊⠞⠀⠺⠁⠎⠀⠁⠋⠞⠑⠗⠺⠁⠗⠙⠎⠀⠊⠝⠙⠑⠏⠑⠝⠙⠑⠝⠞⠇⠽⠀⠀
⠙⠊⠎⠉⠕⠧⠑⠗⠑⠙⠀⠃⠽⠀⠠⠝⠑⠺⠉⠕⠍⠃⠂⠀⠊⠝⠀⠁⠝⠀⠁⠗⠞⠊⠉⠇⠑⠀
⠑⠝⠞⠊⠞⠇⠑⠙⠀⠠⠑⠇⠑⠍⠑⠝⠞⠁⠗⠽⠀⠠⠞⠓⠑⠕⠗⠑⠍⠎⠀⠀⠗⠑⠇⠁⠞⠊⠝⠛
⠀⠞⠕⠀⠞⠓⠑⠀⠛⠑⠕⠍⠑⠞⠗⠽⠀⠕⠋⠀⠁⠀⠎⠏⠁⠉⠑⠀⠕⠋⠀⠞⠓⠗⠑⠑⠀
⠙⠊⠍⠑⠝⠎⠊⠕⠝⠎⠂⠀⠁⠝⠙⠀⠕⠋⠀⠀⠥⠝⠊⠋⠕⠗⠍⠀⠏⠕⠎⠊⠞⠊⠧⠑⠀
⠉⠥⠗⠧⠁⠞⠥⠗⠑⠀⠊⠝⠀⠞⠓⠑⠀⠋⠕⠥⠗⠞⠓⠀⠙⠊⠍⠑⠝⠎⠊⠕⠝⠂⠀
⠠⠉⠗⠑⠇⠇⠑⠄⠎⠀⠀⠠⠚⠕⠥⠗⠝⠁⠇⠀⠋⠗⠀⠙⠊⠑⠀⠗⠑⠊⠝⠑⠀⠥⠝⠙⠀
⠁⠝⠛⠑⠺⠁⠝⠙⠞⠑⠀⠠⠍⠁⠞⠓⠑⠍⠁⠞⠊⠅⠂⠀⠠⠧⠕⠇⠲⠀⠼⠓⠉⠀
⠶⠼⠁⠓⠛⠛⠶⠲⠀⠠⠋⠕⠗⠀⠀⠁⠝⠀⠁⠉⠉⠕⠥⠝⠞⠀⠕⠋⠀⠞⠓⠑⠀
⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠁⠇⠀⠉⠕⠝⠞⠗⠕⠧⠑⠗⠎⠊⠑⠎⠀⠉⠕⠝⠉⠑⠗⠝⠊⠝⠛⠀
⠑⠇⠇⠊⠏⠞⠊⠉⠀⠀⠠⠛⠑⠕⠍⠑⠞⠗⠽⠂⠀⠎⠑⠑⠀⠠⠅⠇⠑⠊⠝⠄⠎⠀
⠠⠧⠕⠗⠇⠑⠎⠥⠝⠛⠑⠝⠀⠃⠑⠗⠀⠠⠝⠊⠉⠓⠞⠤⠠⠑⠥⠅⠇⠊⠙⠊⠎⠉⠓⠑⠀
⠠⠛⠑⠕⠍⠑⠞⠗⠊⠑⠂⠀⠀⠠⠛⠞⠞⠊⠝⠛⠑⠝⠀⠼⠁⠓⠊⠉⠂⠀⠠⠊⠲⠀⠏⠲⠀

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