...to the book of Principles": "I found the Method [of fluxions] by degrees in the years 1665 and 1666. In the beginning of the year 1665 I found the method...fluxions, and the next year in January had the theory of colors, and in May following I had entrance into the inverse method of fluxions. And the same year...

...discovery: I found the Method [of fluxions — ie the calculus] by degrees in the years 1665 and 1666. In the beginning of the year 1665 I found the method...reducing any dignity of any Binomial into such a series [ie he had formulated the Binomial Theorem]. The same year in May I found the method of tangents of...

...passage referring back to the days when Newton was twenty-three or -four years old, that is, to 1665-6: In the beginning of the year 1665 I found the method...approximating series and the rule for reducing any dignity [power] of any binomial into such a series. The same year in May I found the method of tangents of...

...connection with the calculus controversy about fifty years later, Newton mentioned the plague years again. In the beginning of the year 1665 I found the Method of approximating series & the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found...

...words: In the beginning of 1665 I found the ... rule for reducing any dignity [power] of binomial to a series.* The same year in May I found the method of tangents . . . and in November the direct method of Fluxions [ie, the elements of what is now known as differential...

...plague years again. In the beginning of the year 1 665 I found the Method of approximating series & the Rule for reducing any dignity of any Binomial...year in May I found the method of Tangents of Gregory & Slusius, & in November had the direct method of fluxions & the next year in January had the Theory...

...printed the well-known memorandum composed by Newton about 1720: 1n the beginuing of the year 1665 1 found the method of approximating Series and the Rule...Binomial into such a series. The same year in May . . .19 This is the only hint offered in the Preface that the Portsmouth Collection might furnish material...

...Holy Orders. The way was clear for science. Newton wrote of his active rustication many years later : In the beginning of the year 1665 I found the Method of approximating series & the rule for reducing any dignity of any Binomial into such a series. The same year in May I found...

...words: In the beginning of 1665 I found the ... rule for reducing any dignity [power] of binomial to a series. '^ The same year, in May, I found the method of tangents . . . and in November the direct method of Fluxions [the elements of what is now called differential...

...surprisingly, from Newton himself, and most later writers quote Newton's own manuscript description: In the beginning of the year 1665 I found the Method of approximating series & the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found...