The Life of Sir Isaac Newton

Cover The Life of Sir Isaac Newton
The Life of Sir Isaac Newton
David Brewster
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Dr.
Wallis considered that if the equations of the curves of which he had given the quadrature were arranged in a series, beginning with the most simple, these areas would form another series. He saw also thai the equation of the circle w^s intermediate between the first and second terms of the first series, or between the equation of a straight line and that of a parabola, and hence he concluded, that by interpo- lating a term between the first and second term of the second series, he would ob
...tain the area of the circle. In pursuing this singularly beautiful thought, Dr. Wallis did not succeed in obtaining the indefinite quadrature of the circle, because he (Sd not employ general exponents ; but he was led to express the entire area of the circle by a fraction, the numerator and denominator of which are each obtained by the continued multiplication of a certain series of numbers. v Such was the state of this branch of mathematical \ science, when Newton, at an early age, directed to ^ it the vigour of his mind.

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