Library / Mathematics / The Teaching of Geometry / Braille
The Teaching of 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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557,465 braille cells · 590 embossed pages at 40×25 · 4,777 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.