35

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G36

two. There is really no great difficulty in such a topical
proposition; and the reason of the failures of Euler and
of Legendre to find a sound demonstration was that they
were untrained in the definitory deduction required. The
matter was beautifully cleared up by Listing in the
Göttingen Abhandlungen. Listing was by no means
a mathematician of the rank of Euler or even of Legendre,
but he saw almost at once what it would have taken either of them half
a generation to see, not only that a demonstration which promises

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