| Biography | His Work On Math (Newton's Contribution) | The Present | References | Back to the front page The Present Philip Chiu In his mathematical papers, Newton applies his algorithm for the equation -rx+ +yy=0. He writes:
Example, [1st.] -rx+ +yy=0.In modern day notation, Newton's formula involves partial derivatives with respect to x and y. He multiplies ''each terme of y eqat: by so many units as x hath dimensions in y terme'' and ''divides it by x & multiply by y for a numerator.'' In other words, he takes f multiplies by x and y and divides by x, ( , for a numerator. Then he multiplies ''each terme of y equation by soe many units as y hath dimensions in each terme & divide it by -y for a denom:'' In modern mathematical English, he means, take f multiply by y and its negative inverse, ( for a denominator. This of course results in the equation =-y* .
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