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The Elementary Arithmetic of the Theory of Numbers*
Published online by Cambridge University Press: 03 November 2016
Extract
That every person in the realm who teaches mathematics should be a member of our Association is an ideal towards which we are converging non-uniformly, if at all. Were this ideal state of things a reality no apology would be needed for a paper dealing with topics which though educationally important are from a mathematical point of view very familiar. As it is, the feeling haunted me as I wrote that I was writing a sermon, and that the people whom it might benefit would not be in the room, were not even members of our Association. As, however, other writers of sermons must, I suppose, sometimes find themselves in a similar position, 1 have ventured to go on.
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- Research Article
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- Copyright © Mathematical Association 1908
Footnotes
*
A paper read at the Annual Meeting of the Mathematical Association, Jan. 26, 1907. The paper was illustrated by 16 diagrams shewn as lantern slides.
References
page 245 note * Similarly from the identity
24abc = (a + b + c)3–(a + b – c)3 – (a – b + c)3–(b + c – a)3
we obtain four cubes whose sum is a cube by putting
a=pq,
b=3p 2,
c=3q 2, etc.
page 246 note * [Cantor. Geschichte, I. 301].
page 249 note * Œuvres, ed. Tannery, II. 210.