The fourth dimension

ii.

Ve

VIl. VII.

TX.

XI.

CONTENTS

Four-DimenstonaL SPACE . . Toe ANALOGY OF A PLANE WoRLD . : :

THE SIGNIFICANCE OF A FouR-DIMENSIONAL

EXISTENCE . Tue Frrst CHAPTER IN THE History oF Four SPACE . 7 : ; . . 3

Tue SECOND CHAPTER IN THE History oF Four Space. ‘ F - 7 - .

Lobatchewsky, Bolyai, and Gauss Metageometry

Tue HicHER WorLp : - “ : : Tue Evipences For A FourtH DIMENSION Tue Use oF Four Diexsions 1n THouGnat APPLICATION TO KAnt’s THEORY OF EXPERIENCE

A Four-DIMENSIONAL FIGURE . . 1 5

NOMENCLATURE AND ANALOGIES 2 vii

41

61 76