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Updated: May 21, 2025
Ethel was not coming that morning, because by special request and because she wanted to help him she was going to copy out some of his botanical notes which had fallen into arrears. On his way to the schools Lewisham felt something suspiciously near a sinking of the heart. His preoccupation was essentially arithmetical.
But if the helplessness of so many elementary scholars in the face of an arithmetical problem is lamentable, still more lamentable is the fact that the scholar is seldom met with who, having given an entirely wrong answer to an easy problem, is able to see for himself that, whatever the right answer may be, the answer given is and must be wrong.
Superstitious, like all desperate gamesters, Scot had often tried magical and cabalistic numbers, in the hope of discovering lucky numbers in the lottery, or at the roulette tables. He had in his possession a cabalistic manuscript, containing various arithmetical combinations of the kind, which he submitted to Cagliostro, with an urgent request that he would select a number.
First he set down a long row of figures, which he added together with much difficulty, and then seemed to instantly conceive the most unrelenting hostility to the sum total. The mathematical tortures to which he put that unhappy amount; the arithmetical abuse which he heaped upon it, and the algebraic contumely with which he overwhelmed it, almost defy description.
But his attention was roused by the youngest clerk, a boy of sixteen, being so often sent for into the bank parlour, to copy into the books some arithmetical result, without its process. Attention soon became suspicion; and suspicion found many little things to feed on, till it grew to certainty.
It was a story to touch the heart, as none other ever written of over all the earth was there a woman equalling his Nataly! And their Nesta would have a dowry to make princesses envious: she would inherit... he ran up an arithmetical column, down to a line of figures in addition, during three paces of his feet.
Sometimes, as in the case of the Venetian Ducal Palace, the numbers involved are too great for counting, but other and different arithmetical truths are portrayed; for example, the multiplication of the first arcade by 2 in the second, and this by 3 in the cusped arches, and by 4 in the quatrefoils immediately above. Seven is proverbially the perfect number.
Now do tell me what the difference is between geometry and conchology?" Here you come again with your arithmetical conundrums, when I am suffering death with a cold in the head.
It is strange that this point has not been more considered, especially by thinkers who are fond of the word 'humanity' 'the good of humanity' or the 'greatest happiness of the greatest number'. Humanity has an arithmetical or quantitative side, and the good of humanity surely depends, to some extent, on how much humanity there is.
Q. What is the centre of oscillation? A. The centre of oscillation is a point in a pendulum or any swinging body, such, that if all the matter of the body were to be collected into that point, the velocity of its vibration would remain unaffected. It is in fact the mean distance from the centre of suspension of every atom, in a ratio which happens not to be an arithmetical one.
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