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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 · 4,470 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.