Skip to contentSkip to Braille Studio

Library / Mathematics / The Psychology of Arithmetic / Braille

The Psychology of Arithmetic ⠃⠗⠋ 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.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

464,017 braille cells · 476 embossed pages at 40×25 · 8,503 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.