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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.