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"Is there e'er a sup at all in the house?" said Mat; "if there is, let me get it; for there's an ould proverb, though it's a most unmathematical axiom as ever was invinted 'try a hair of the same dog that bit you; give me a glass, Nancy, an' you can go for Father Connell after. Oh, by the sowl of Isaac, that invented fluxions, what's this for?"
I thought onc't I'd fadomed the say ov throuble; and that was when I got through fractions at ould Mat Kavanagh's school, in Firdramore, God be good to poor Mat's sowl, though he did deny the cause the day he suffered! but its fluxions itself we're set to bottom now, sink or shwim!
Some allege these to be the cataracts of heaven, which were all opened at Noah's flood: But I rather consider them to be those fluxions and eruptions said by Aristotle, in his book de Mundo, to happen in the sea.
But as, unluckily, the world which he visits, and in which we live, is neither a geometric world nor an algebraic world, a world of conic sections or fluxions; but a world of plains and mountains, of lakes and rivers, of men and women, flesh and blood he finds his knowledge of little or no avail.
In 1676 Newton had communicated to Leibnitz the fact that he had discovered a general method of drawing tangents, concealing the method in two sentences of transposed characters. Before Newton had published a single word upon fluxions the differential calculus had made rapid advances on the Continent.
The contest for priority between Leibnitz and Newton concerning the invention of the differential calculus was later settled by the decision that Newton invented his method of fluxions first, but that Leibnitz published his differential calculus earlier and in a more perfect form.
It is to this method of subjecting everywhere infinity to algebraical calculations, that the name is given of differential calculations or of fluxions and integral calculation. It is the art of numbering and measuring exactly a thing whose existence cannot be conceived.
FORCES, which are illimitable in their compass of effect, are often, for the same reason, obscure and untraceable in the steps of their movement. Growth, for instance, animal or vegetable, what eye can arrest its eternal increments? The hour-hand of a watch, who can detect the separate fluxions of its advance?
As well might the invention of fluxions or the architectural wonders of the dome of St. Peter's, or the miracles of art the St. John of Raphael or the Apollo Belvidere, be supposed to be owing to accidental combinations. In the progress of an art, from its rudest to its more perfect state, the whole process depends upon experiments.
From the close of his Cambridge career his life became a series of great physical discoveries. At twenty-three he facilitated the calculation of planetary movements by his theory of Fluxions.
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