WHAT IS GEOMETRY? A conversation between- An experimental PHYSICIST. A pure MATHEMATICIAN. A RELATIVIST who advocates the newer conceptions of time and space in physice. Rel. There is a well-known proposition of Euclid which states that "Any two sides of a triangle are together greater than the third side." Can either of you tell me whether nowadays there is good reason to believe that this proposition is true? Math. For my part, I am quite unable to say whether the proposition is true or not. I can deduce it by trustworthy reasoning from certain other propositions or axioms, which are supposed to be still more elementary. If these axioms are true, the proposition is true; if the axioms are not true, the proposition is not true universally. Whether the axioms are true or not I cannot say, and it is outside my province to consider. Phys. But is it not claimed that the truth or these axioms is self-evident? Math. They are by no means self-evirlent to
Table of Contents
ECLIPSE INSTRUMENTS AT SOBRAL ?; PROLOGUE; WHAT IS GEOMETRY?; CHAPTER I; THE FITZGERALD CONTRACTION ?; CHAPTER II; RELATIVITY; CHAPTER III; THE WORLD OF FOUR DIMENSIONS; CHAPTER IV; FIELDS OF FORCE ?; CHAPTER V; KINDS OF SPACE; CHAPTER VI; THE NEW LAW OF GRAVITATION AND THE; l;'rontispiece; PAGE; 1; 17; 30; 45; 63; 77; OLD LAW 93; CHAPTER VII; WEIGHING LIGHT ? no; CHAPTER VIII; OTHER TESTS OF THE THEORY; CHAPTER IX; MOMENTUM AND ENERGY; CHAPTER X; TOWARDS INFINITY; CHAPTER XI; ELECTRICITY AND GRAVITATION; t:!HAPTER XII; ON THE NATURE OF THINGS; APPENDIX; MATlIE1(ATICAL NOTES; HISTORICAL NOTE; ? ?; 123; 136; 152; 167; 180; 202; 210
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