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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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