NOL
Mathematical recreations and problems of past and present times

Chapter 20

Chapter XIX. Hyper Space.

Authorities .... Two subjects of speculation Space of Two Dimensions Space of One Dimension . Space of Four Dimensions
Existence in such a world
Arguments in favour of the existence of such a world
Use of, to explain physical phenomena Non-Euclidean Geometries ......
Euclid's Axioms and Postulates. The Parallel Postulate Hyperbolic and Elliptic Geometries of Two Dimensions Non-Euclidean Geometries of Three or more Dimensions Non-Archimcdian Geometries of Two Dimensions .
Non-Legendrian Geometry
Semi-Euclidean Geometry ..... Truth of Axioms
424 425 425 426 426 427 428 430 433 433 433 435 436 436 436 437
XVI
TABLE OF CONTENTS