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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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