FOUR-DIMENSIONAL
VISTAS

by

Claude Bragdon

[Illustration]

New York



"_Perception has a destiny_."
_Emerson_.




INTRODUCTION

There are two notable emancipations of the mind from the tyranny of
mere appearances that have received scant attention save from
mathematicians and theoretical physicists.

In 1823 Bolyai declared with regard to Euclid's so-called axiom of
parallels, "I will draw two lines through a given point, both of
which will be parallel to a given line." The drawing of these lines
led to the concept of the curvature of space, and this to the idea
of _higher_ space.