Curiosities of Mathematics for the Instruction of Mathematicians And the Benefit

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-. ^ expresses the ratio between B N and N C.
Multiply the two terms of this ratio by 8, and we obtain the equivalent ratio §} ; and it follows, that B N is to N C in the ratio of 31 to 17. The ratio is expressed in whole numbers, and with arithmetical exactness. Q. E. D.
Now, Sir, conceive a dozen of the Members of the Royal Society of England, a dozen Members of the Royal Institute of France, and a dozen of the leading Members of the British Association for the Advancement of Science, with Pr
...ofessor De Morgan (the greatest Mathematician in Europe, according to my correspondent R. F. Glaister, Esq. ) as their secretary, assembled in solemn conclave to solve my problem. They would no doubt decide that the solution of the problem is impossible, aye, and would probably say, just as impossible as to square the circle, or find the exact ratio of diameter to circumference in a circle.
But, Sir, I have given you the solution of the problem, and no Mathematician in the world can controvert it; and if you fail to take the earliest opportunity of giving the problem and its solution in the columns of the Atheticeui/i, will you play the part of an honest scientific journalist ?


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