First Sentence:
In this first part I have tried to shorten the calculations in the quadrature of curves, and also in more difficult problems, namely by attaining the values of infinite series more readily than by simple addition of terms as is commonly done.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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inverse factorial series, equidistant ordinates, first ordinate, fluxional equation, middle coefficient, successive sums, curve whose ordinate, equidistant terms, binomial curves, middle ordinate, eleventh term, transformed series, ultimate relation, common interval, their first differences, series whose terms, given ordinates, correctly rounded, middle differences, tenth term, recurrent series, whose interval, converging series, equation for the series, twelve terms
Key Phrases - Capitalized Phrases (CAPs):
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