The foundations of geometry

The foundations of geometry

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m THE FOUNDATIONS OF GEOMETRY. BY EDWARD T. DIXON. CAMBRIDGE: BELL AND CO.DEIGHTON, LONDON : GEOEGE BELL AND SONS. 1891 \Y\oociv PRINTED BY C. J. M.A. AND SONS,CLAY, AT THE UNIVERSITY PRESS. CONTENTS. PART I. PAGE ON THE LOGICAL STATUS OF THE SCIENCE OF GEOMETRY 1 PART II. A SUBJECTIVE THEORY OF GEOMETRY DEDUCED FROM THE TWO FUNDAMENTAL POSITION AND DIRECTION .CONCEPTS, 32 PART III. ON THE APPLICABILITY OF THE FOREGOING SUBJECTIVE GEOMETRY TO THE GEOMETRY OF MATERIAL SPACE . 87 EKRATA. CEEC read1. for CEFC.p. 12, 7, for PE read FE.1.p. 12, 10, 1 1. for ECP read EC* .p. 15, 23, 1. for Helmholz read Helmholtz.18, 11,p. (twice) last line but erase not.p. 26, two, PKEFACE. forth inT BELIEVE that the of I have setsystem geometry " this book is and that the moresound,logically consequently it is and the will it becomediscussed morecriticised, firmly established. I shall therefore be to see criticismsvery glad any of whether or either in theviews, hostile,my friendly public below.or addressed to me at the addresspress, privately, given But I have found the such a widethat,already subject being criticism is a view toto become discursive and withone, ;apt andit to the I would to criticskeeping point mysuggest in that should consideropponents argument they categorically the : following questions Do forthe I have laid down(i) you accept requirements a definition ?logical (see 21).p.

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mTHE
FOUNDATIONS OF GEOMETRY.
BY
EDWARD T. DIXON.
CAMBRIDGE:
BELL AND CO.DEIGHTON,
LONDON : GEOEGE BELL AND SONS.
1891\Y\oociv
PRINTED BY C. J. M.A. AND SONS,CLAY,
AT THE UNIVERSITY PRESS.CONTENTS.
PART I.
PAGE
ON THE LOGICAL STATUS OF THE SCIENCE OF GEOMETRY 1
PART II.
A SUBJECTIVE THEORY OF GEOMETRY DEDUCED FROM THE TWO
FUNDAMENTAL POSITION AND DIRECTION .CONCEPTS, 32
PART III.
ON THE APPLICABILITY OF THE FOREGOING SUBJECTIVE GEOMETRY
TO THE GEOMETRY OF MATERIAL SPACE . 87EKRATA.
CEEC read1. for CEFC.p. 12, 7,
for PE read FE.1.p. 12, 10,
1
1. for ECP read EC*
.p. 15, 23,
1. for Helmholz read Helmholtz.18, 11,p. (twice)
last line but erase not.p. 26, two,