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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.