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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

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

These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.