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.