Essays On the Life And Work of Newton
Essays On the Life And Work of Newton
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. . Suppose half the infinitely little increment of X to be \ x, and half the Fluxion or infinitely little Increment of Z to be \ z. " And thus it appears that all explanation that was tendered in print, up to the year 1704, whether by Newton him- self, or by any of his followers (except only Wallis, as presently mentioned), was Leibnitian in principle. But when Newton, in 1704, published the treatise on the Quadrature of Curves which he had written before Leibniz communicated the differential ...cal- culus to him, he starts with nothing but the notion of quantity increasing or diminishing with velocity, and this velocity or celerity is the fluxion. And in the Introduction, written at the time of publication, he says, " I do not consider mathematical quantities as consisting of the smallest possible parts (paries quam minima) but as described by continuous 1 ibid, p. 5.
92 FLU XI ON AL motion. " This is the first public declaration of the meaning of a " fluxion " that was made by the author of the word, in his own name.
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To quickly assess the difficulty of the text, read a short excerpt:
. . Suppose half the infinitely little increment of X to be \ x, and half the Fluxion or infinitely little Increment of Z to be \ z. " And thus it appears that all explanation that was tendered in print, up to the year 1704, whether by Newton him- self, or by any of his followers (except only Wallis, as presently mentioned), was Leibnitian in principle. But when Newton, in 1704, published the treatise on the Quadrature of Curves which he had written before Leibniz communicated the differential ...cal- culus to him, he starts with nothing but the notion of quantity increasing or diminishing with velocity, and this velocity or celerity is the fluxion. And in the Introduction, written at the time of publication, he says, " I do not consider mathematical quantities as consisting of the smallest possible parts (paries quam minima) but as described by continuous 1 ibid, p. 5.
92 FLU XI ON AL motion. " This is the first public declaration of the meaning of a " fluxion " that was made by the author of the word, in his own name.
What to read after Essays On the Life And Work of Newton?
You can find similar books in the "Read Also" column, or choose other free books by De Morgan Augustus to read onlineMoreLess
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