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Updated: June 1, 2025
Within the succeeding century Huygens made the application of the pendulum to clocks; Napier invented Logarithms; Descartes and Galileo created the analysis of curves, and the science of Dynamics; Leibnitz brought the Differential Calculus; Newton decomposed a ray of light, and synthesized Kepler's Laws into the theory of Universal Gravitation.
Decoctions of Egyptian mummies were much commended, and often prescribed with due academical solemnity; and the bones of the human skull, pulverized and administered with oil, were used as a specific in cases of renal calculus.
Morey, for instance, would never have developed the autointegral calculus, to say nothing of tensor and spinor calculus, which were developed two hundred years ago, without the knowledge of the problems of space to develop the need. I'm afraid such a race would be quite a bit behind us in science. "Suppose, on the other hand, we visit a race that's far ahead of us.
Bartholomew's Hospital and deposited in the museum of that institution. The patient was a man of thirty-eight. In the right kidney were found a calculus weighing 36 1/2 ounces, about 1000 small calculi, and a quantity of calcareous dust. In the left kidney there was a calculus weighing 9 3/4 ounces, besides a quantity of calcareous dust.
His "calculus of probabilities" had not failed him. He had not walked far upon the forest-shaded banks of the river before he saw Marian walking before him. He hastened and overtook her. At first seeing him her face flushed radiant with surprise and joy. She seemed to think that nothing short of necromancy could have conjured him to that spot.
Two years before the beginning of the Thirty Years War, John Napier, a Scotchman, had published his little book which described the new invention of logarithms. During the war it-self, Gottfried Leibnitz of Leipzig had perfected the system of infinitesimal calculus.
But the apologist is not really light-hearted: he cannot keep the more solemn part of his apologia out of the Preface itself, and assures us that the story of Adam's fall "is all a legend. It never really happened, any of it." Again one asks Mr Arnold, as seriously as possible, "How do you know that? On your own calculus, with your own estimate of evidence, how is it possible for you to know that?
It throws an indistinct light upon Aristotle, and makes us aware of the debt which the world owes to him or his school. It also bears a resemblance to some modern speculations, in which an attempt is made to narrow language in such a manner that number and figure may be made a calculus of thought. It exaggerates one side of logic and forgets the rest.
In fact, this case, being that of infinitesimal increments, is precisely the case which the differential calculus was invented to meet.
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