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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.