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An essay on the foundations of geometry ⠃⠗⠋ braille edition

Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.

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430,699 braille cells · 453 embossed pages at 40×25 · 2,394 unrepresentable characters omitted

⠁⠇⠕⠝⠑⠼⠓⠚⠲⠀⠀⠠⠹⠗⠳⠛⠓⠀⠦⠀⠊⠝⠋⠇⠥⠢⠉⠑⠀⠕⠝⠀
⠠⠗⠊⠑⠍⠁⠝⠝⠂⠀⠓⠑⠀⠁⠉⠟⠥⠊⠗⠫⠂⠀⠊⠝⠙⠊⠗⠑⠉⠞⠇⠽⠂⠀⠁⠀
⠛⠗⠑⠁⠞⠀⠀⠊⠍⠏⠕⠗⠞⠁⠝⠉⠑⠀⠔⠀⠛⠑⠕⠍⠑⠞⠗⠊⠉⠁⠇⠀
⠏⠓⠊⠇⠕⠎⠕⠏⠓⠽⠲⠀⠠⠞⠕⠀⠠⠗⠊⠑⠍⠁⠝⠝⠄⠎⠀⠙⠊⠎⠎⠻⠞⠁⠞⠊⠕⠝⠂⠀
⠱⠊⠡⠀⠺⠑⠀⠓⠀⠁⠇⠗⠑⠁⠙⠽⠀⠙⠊⠎⠉⠥⠎⠎⠫⠀⠔⠀⠊⠞⠎⠀
⠍⠁⠮⠍⠁⠞⠊⠉⠁⠇⠀⠁⠎⠏⠑⠉⠞⠂⠀⠺⠑⠀⠍⠥⠌⠀⠀⠝⠪⠀⠗⠑⠞⠥⠗⠝⠂⠀
⠉⠕⠝⠎⠊⠙⠻⠬⠂⠀⠹⠊⠎⠀⠐⠞⠂⠀⠕⠝⠇⠽⠀⠊⠞⠎⠀⠏⠓⠊⠇⠕⠎⠕⠏⠓⠊⠉⠁⠇
⠀⠧⠊⠑⠺⠎⠲⠀⠀⠀⠀⠀⠀⠠⠗⠊⠑⠍⠁⠝⠝⠲⠀⠀⠀⠀⠼⠋⠚⠲⠀⠠⠮⠀⠁⠊⠍⠀⠷⠀
⠠⠗⠊⠑⠍⠁⠝⠝⠄⠎⠀⠙⠊⠎⠎⠻⠞⠁⠞⠊⠕⠝⠂⠀⠵⠀⠺⠑⠀⠎⠁⠺⠀⠔⠀
⠠⠡⠁⠏⠞⠻⠀⠠⠊⠲⠂⠀⠀⠴⠀⠞⠕⠀⠙⠑⠋⠔⠑⠀⠎⠏⠁⠉⠑⠀⠵⠀⠁⠀
⠎⠏⠑⠉⠊⠑⠎⠀⠷⠀⠍⠁⠝⠊⠋⠕⠇⠙⠂⠀⠊⠲⠑⠲⠀⠵⠀⠁⠀⠏⠜⠞⠊⠉⠥⠇⠜⠀⠀
⠅⠔⠙⠀⠷⠀⠉⠕⠇⠇⠑⠉⠞⠊⠕⠝⠀⠷⠀⠍⠁⠛⠝⠊⠞⠥⠙⠑⠎⠲⠀⠠⠭⠀⠴⠀⠹⠥⠎⠀
⠁⠎⠎⠥⠍⠫⠂⠀⠞⠕⠀⠃⠑⠛⠔⠀⠾⠂⠀⠀⠞⠀⠎⠏⠁⠞⠊⠁⠇⠀⠋⠊⠛⠥⠗⠑⠎⠀
⠉⠳⠇⠙⠀⠃⠑⠀⠗⠑⠛⠜⠙⠫⠀⠵⠀⠍⠁⠛⠝⠊⠞⠥⠙⠑⠎⠂⠀⠯⠀⠮⠀⠁⠭⠊⠕⠍⠎⠀
⠱⠊⠡⠀⠑⠍⠻⠛⠫⠂⠀⠁⠉⠉⠕⠗⠙⠬⠇⠽⠂⠀⠙⠑⠞⠻⠍⠔⠫⠀⠕⠝⠇⠽⠀⠮⠀
⠏⠜⠞⠊⠉⠥⠇⠜⠀⠏⠇⠁⠉⠑⠀⠷⠀⠀⠘⠮⠀⠁⠍⠕⠝⠛⠀⠮⠀⠸⠍⠀
⠁⠇⠛⠑⠃⠗⠁⠊⠉⠁⠇⠇⠽⠀⠏⠕⠎⠎⠊⠃⠇⠑⠀⠧⠜⠊⠑⠞⠊⠑⠎⠀⠷⠀
⠍⠁⠛⠝⠊⠞⠥⠙⠑⠎⠲⠀⠀⠠⠮⠀⠗⠑⠎⠥⠇⠞⠬⠀⠿⠍⠥⠇⠁⠞⠊⠕⠝⠀⠷⠀⠮⠀
⠁⠭⠊⠕⠍⠎⠤⠤⠱⠊⠇⠑⠂⠀⠋⠀⠮⠀⠍⠁⠮⠍⠁⠞⠊⠉⠁⠇⠀⠀⠌⠯⠏⠕⠔⠞⠀⠷⠀
⠍⠑⠞⠗⠊⠉⠁⠇⠀⠠⠛⠑⠕⠍⠑⠞⠗⠽⠂⠀⠭⠀⠴⠀⠁⠇⠍⠕⠌⠀⠱⠕⠇⠇⠽⠀
⠇⠁⠥⠙⠁⠃⠇⠑⠤⠤⠍⠥⠌⠂⠀⠀⠋⠀⠮⠀⠌⠯⠏⠕⠔⠞⠀⠷⠀⠏⠓⠊⠇⠕⠎⠕⠏⠓⠽⠂
⠀⠃⠑⠀⠗⠑⠛⠜⠙⠫⠂⠀⠔⠀⠍⠽⠀⠕⠏⠔⠊⠕⠝⠂⠀⠵⠀⠁⠀⠀⠏⠑⠞⠊⠞⠊⠕⠀
⠏⠗⠔⠉⠊⠏⠊⠊⠲⠀⠠⠿⠀⠱⠢⠀⠺⠑⠀⠓⠀⠁⠗⠗⠊⠧⠫⠀⠁⠞⠀⠗⠑⠛⠜⠙⠬⠀
⠎⠏⠁⠞⠊⠁⠇⠀⠀⠋⠊⠛⠥⠗⠑⠎⠀⠵⠀⠍⠁⠛⠝⠊⠞⠥⠙⠑⠎⠂⠀⠺⠑⠀⠓⠀
⠁⠇⠗⠑⠁⠙⠽⠀⠞⠗⠁⠧⠻⠎⠫⠀⠮⠀⠍⠕⠌⠀⠙⠊⠋⠋⠊⠉⠥⠇⠞⠀⠀⠐⠏⠀⠷⠀⠮⠀

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