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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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