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Part Two On the Interpolation of Series

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Abstract

Let there be an arbitrary straight Line PQ which is given in position, above which let any number of ordinates A, B, C, D etc. be erected, which are parallel to each other and separated one from the other by equal intervals: moreover, let these ordinates represent the terms of a regular series, continually increasing or decreasing and having the same sign; and passing through the extremities of them all, there will be exactly one curve, which will in fact be defined by the given equation for the series, that is, from the given equation which expresses in general the relation between any two or more successive ordinates.

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© 2003 Springer-Verlag London

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Tweddle, I. (2003). Part Two On the Interpolation of Series. In: James Stirling’s Methodus Differentialis . Sources and Studies in the History of Mathematics and Physical Sciences. Springer, London. https://doi.org/10.1007/978-1-4471-0021-8_4

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  • DOI: https://doi.org/10.1007/978-1-4471-0021-8_4

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1127-6

  • Online ISBN: 978-1-4471-0021-8

  • eBook Packages: Springer Book Archive

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