The Life of Sir Isaac NewtonGall & Inglis, 1900 - 346 páginas |
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Página 150
... calculus prevented him from explaining the other inequalities of the moon's motions, and it was reserved for Euler, D'Alembert, Clairaut, Mayer, and Laplace, to bring the lunar tables to a high degree of perfection, and to enable the ...
... calculus prevented him from explaining the other inequalities of the moon's motions, and it was reserved for Euler, D'Alembert, Clairaut, Mayer, and Laplace, to bring the lunar tables to a high degree of perfection, and to enable the ...
Página 163
... calculus. The method of exhaustions which they employed for the purpose consisted in making the curve a limiting area, to which the inscribed and circumscribed polygonal figures continually approached by increasing the number of their ...
... calculus. The method of exhaustions which they employed for the purpose consisted in making the curve a limiting area, to which the inscribed and circumscribed polygonal figures continually approached by increasing the number of their ...
Página 164
... calculus, but in place of this calculus, we have only an imperfect arithmetic. The celebrated Pappus of Alexandria followed Archimedes in the same inquiries ; and in his demonstration of the property of the centre of the gravity of a ...
... calculus, but in place of this calculus, we have only an imperfect arithmetic. The celebrated Pappus of Alexandria followed Archimedes in the same inquiries ; and in his demonstration of the property of the centre of the gravity of a ...
Página 165
... calculus. Robcrval supposed the point which describes a curve to be actuated by two motions, by the composition of which it moves in the direction of a tangent ; and hail he possessed the method of fluxions, he could, in every case ...
... calculus. Robcrval supposed the point which describes a curve to be actuated by two motions, by the composition of which it moves in the direction of a tangent ; and hail he possessed the method of fluxions, he could, in every case ...
Página 166
... calculus. In his method of determining the maxima and minima of the ordinates of curves, he substitutes »+ « for the independent variable x in the function which is to become a maximum, and as these two expressions should be equal when ...
... calculus. In his method of determining the maxima and minima of the ordinates of curves, he substitutes »+ « for the independent variable x in the function which is to become a maximum, and as these two expressions should be equal when ...
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