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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

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

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.