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Published online by Cambridge University Press: 03 November 2016
I have read with interest Mr. E. T. Dixon’s criticism of my paper on a “Partial Failure of Euclid (I. 4) in Time-Space Theory.” Mr. Dixon takes objection to this title, although, in his own words, he admits that: “Time-Space Theory may, in a limiting instance, be incompatible with Euclid’s (I. 4).”
page 69 note * In view of what he says, Mr. Dixon should observe that I use the word postulates not axioms.
page 69 note † Thus in Theorem 189 of my book will be found the proof of the analogue of (I. 4) for the case of right-angled triangles which does not involve any superposition.