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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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