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An Elementary Course in Synthetic Projective 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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206,990 braille cells · 216 embossed pages at 40×25 · 2,010 unrepresentable characters omitted

⠞⠓⠑⠕⠗⠑⠍⠀⠋⠥⠗⠝⠊⠎⠓⠑⠎⠀⠁⠝⠀⠑⠇⠑⠛⠁⠝⠞⠀⠀⠎⠕⠇⠥⠞⠊⠕⠝⠀
⠕⠋⠀⠞⠓⠑⠀⠏⠗⠕⠃⠇⠑⠍⠀⠕⠋⠀⠙⠗⠁⠺⠊⠝⠛⠀⠁⠀⠉⠕⠝⠊⠉⠀
⠞⠓⠗⠕⠥⠛⠓⠀⠋⠊⠧⠑⠀⠛⠊⠧⠑⠝⠀⠏⠕⠊⠝⠞⠎⠲⠀⠠⠞⠕⠀⠀
⠉⠕⠝⠎⠞⠗⠥⠉⠞⠀⠁⠀⠎⠊⠭⠞⠓⠀⠏⠕⠊⠝⠞⠀⠕⠝⠀⠞⠓⠑⠀⠉⠕⠝⠊⠉⠂⠀
⠙⠗⠁⠺⠀⠞⠓⠗⠕⠥⠛⠓⠀⠞⠓⠑⠀⠏⠕⠊⠝⠞⠀⠝⠥⠍⠃⠑⠗⠑⠙⠀⠼⠁⠀⠁⠝⠀⠀
⠁⠗⠃⠊⠞⠗⠁⠗⠽⠀⠇⠊⠝⠑⠀⠶⠠⠋⠊⠛⠲⠀⠼⠁⠙⠶⠂⠀⠁⠝⠙⠀⠇⠑⠞⠀⠞⠓⠑⠀
⠙⠑⠎⠊⠗⠑⠙⠀⠏⠕⠊⠝⠞⠀⠼⠋⠀⠃⠑⠀⠞⠓⠑⠀⠎⠑⠉⠕⠝⠙⠀⠏⠕⠊⠝⠞⠀⠀⠕⠋
⠀⠊⠝⠞⠑⠗⠎⠑⠉⠞⠊⠕⠝⠀⠕⠋⠀⠞⠓⠊⠎⠀⠇⠊⠝⠑⠀⠺⠊⠞⠓⠀⠞⠓⠑⠀
⠉⠕⠝⠊⠉⠲⠀⠠⠞⠓⠑⠀⠏⠕⠊⠝⠞⠀⠠⠇⠀⠀⠼⠁⠃⠤⠙⠑⠀⠊⠎⠀⠀
⠕⠃⠞⠁⠊⠝⠁⠃⠇⠑⠀⠁⠞⠀⠕⠝⠉⠑⠆⠀⠁⠇⠎⠕⠀⠞⠓⠑⠀⠏⠕⠊⠝⠞⠀⠠⠝⠀⠀
⠼⠉⠙⠤⠋⠁⠲⠀⠠⠃⠥⠞⠀⠠⠇⠀⠁⠝⠙⠀⠠⠝⠀⠙⠑⠞⠑⠗⠍⠊⠝⠑⠀⠀
⠠⠏⠁⠎⠉⠁⠇⠄⠎⠀⠇⠊⠝⠑⠂⠀⠁⠝⠙⠀⠞⠓⠑⠀⠊⠝⠞⠑⠗⠎⠑⠉⠞⠊⠕⠝⠀⠕⠋⠀
⠼⠃⠉⠀⠺⠊⠞⠓⠀⠼⠑⠋⠀⠍⠥⠎⠞⠀⠃⠑⠀⠕⠝⠀⠞⠓⠊⠎⠀⠇⠊⠝⠑⠲⠀⠀
⠠⠊⠝⠞⠑⠗⠎⠑⠉⠞⠂⠀⠞⠓⠑⠝⠂⠀⠞⠓⠑⠀⠇⠊⠝⠑⠀⠠⠠⠇⠝⠀⠺⠊⠞⠓⠀⠼⠃⠉
⠀⠁⠝⠙⠀⠕⠃⠞⠁⠊⠝⠀⠞⠓⠑⠀⠏⠕⠊⠝⠞⠀⠠⠍⠲⠀⠠⠚⠕⠊⠝⠀⠠⠍⠀⠀⠞⠕⠀
⠼⠑⠀⠁⠝⠙⠀⠊⠝⠞⠑⠗⠎⠑⠉⠞⠀⠺⠊⠞⠓⠀⠼⠋⠁⠀⠋⠕⠗⠀⠞⠓⠑⠀
⠙⠑⠎⠊⠗⠑⠙⠀⠏⠕⠊⠝⠞⠀⠼⠋⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠋⠊⠛⠥⠗⠑⠀⠼⠁⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠠⠋⠊⠛⠲⠀⠼⠁⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠔⠼⠛⠑⠲⠀⠠⠞⠁⠝⠛⠑⠝⠞⠀⠞⠕⠀⠁
⠀⠉⠕⠝⠊⠉⠲⠔⠔⠀⠀⠠⠊⠋⠀⠞⠺⠕⠀⠏⠕⠊⠝⠞⠎⠀⠕⠋⠀⠠⠏⠁⠎⠉⠁⠇⠄⠎⠀
⠓⠑⠭⠁⠛⠕⠝⠀⠁⠏⠏⠗⠕⠁⠉⠓⠀⠀⠉⠕⠊⠝⠉⠊⠙⠑⠝⠉⠑⠂⠀⠞⠓⠑⠝⠀⠞⠓⠑⠀
⠇⠊⠝⠑⠀⠚⠕⠊⠝⠊⠝⠛⠀⠞⠓⠑⠍⠀⠁⠏⠏⠗⠕⠁⠉⠓⠑⠎⠀⠁⠎⠀⠁⠀
⠇⠊⠍⠊⠞⠊⠝⠛⠀⠏⠕⠎⠊⠞⠊⠕⠝⠀⠀⠞⠓⠑⠀⠞⠁⠝⠛⠑⠝⠞⠀⠇⠊⠝⠑⠀⠁⠞⠀
⠞⠓⠁⠞⠀⠏⠕⠊⠝⠞⠲⠀⠠⠏⠁⠎⠉⠁⠇⠄⠎⠀⠞⠓⠑⠕⠗⠑⠍⠀⠞⠓⠥⠎⠀
⠁⠋⠋⠕⠗⠙⠎⠀⠁⠀⠗⠑⠁⠙⠽⠀⠀⠍⠑⠞⠓⠕⠙⠀⠕⠋⠀⠙⠗⠁⠺⠊⠝⠛⠀⠞⠓⠑⠀

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