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"And another idea came to my mind, an earlier idea which had already struck me several times and to which I have already referred in Sergeant Mazeroux's presence: I mean the really mathematical character of the appearance of the letters.
He was no more than a free peasant, living on the marsh-farm in Friesland, which had been possessed by several generations of his ancestors; but at the age of two-and-twenty he put himself under mathematical tutorship at Hamburg, and then studied at Gottingen.
A few years later a fine grampus was found one night lying half dead by the bows of one of the torpedo-boat destroyers at Chiswick. Its "lines" struck the expert minds there as so good that it was carefully measured, and the results were found to correspond almost exactly with a mathematical curve I think called a curve of sines.
Remembering that percentage of wise men, the formula of a nation were perhaps more truly stated in our first mathematical image. The wise men in a nation are as the units with the noughts in front of them.
But the besieged garrison continues to use its own methods and to trust in its own hypotheses; and the results justify the confidence with which the assaults of the philosophers are ignored. We are told that the scientific method is ultimately appropriate only to the abstractions of mathematics. But nature herself seems to have a taste for mathematical methods.
If our modern Infidels considered these Matters with that Candour and Seriousness which they deserve, we should not see them act with such a Spirit of Bitterness, Arrogance, and Malice: They would not be raising such insignificant Cavils, Doubts, and Scruples, as may be started against every thing that is not capable of mathematical Demonstration; in order to unsettle the Minds of the Ignorant, disturb the publick Peace, subvert Morality, and throw all things into Confusion and Disorder.
It is a curious mathematical problem at what precise angle the three planes which compose the bottom of a cell ought to meet, in order to make the greatest possible saving, or the least expense of material and labour.* This is one of the problems which belong to the higher parts of mathematics.
"Got what?" demanded her seat-mate, who was a mathematical prodigy and had been working out problems in calculus all the way from Buffalo. "Not one of those examples of yours," laughed Betty, "only an idea, or at least about half an idea." "I don't find fractions of ideas very useful," said the seat-mate. "I never said they were," returned Betty irritably.
The problem of ugliness and evil would seem at first thought to be totally unrelated to the subject of space hyperdimensionality, but there is at least a symbolical relation. This was suggested to the author by the endeavor of two friends whose interests were pre-eminently mathematical to discover what certain four-dimensional figures would look like in three-dimensional space.
To the Wolf patrol, points for excellence in mathematical accuracy. To the Hawk patrol, points for superior general field work. To the Otter patrol and its leader, Tom Sherwood, the title and honor, 'Official Geological Surveyors to the Troop'!" "News! news!" cried Arthur Cameron, bursting in upon Ralph and Tom, who were sitting in the boathouse on the shore of the lake.
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