Skip to contentSkip to Braille Studio

Library / Mathematics / An Elementary Course in Synthetic Projective Geometry / Braille

An Elementary Course in Synthetic Projective 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.

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

177,089 braille cells · 184 embossed pages at 40×25 · 2,010 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.