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Brigg's Method of Interpolation; being a translation* of the 13th Chapter and part of the 12th of the Preface to the “Arithmetica Logarithmica”

Published online by Cambridge University Press:  18 August 2016

J. Hill Williams Esq.
J. Hill Williams Esq.*
Affiliation:
Institute of Actuaries
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Extract

Those of our readers who have studied the paper of M. Maurice on Interpolation, of which a translation appeared in our last number, will no doubt be glad to compare with it Briggs's own description of his method of Interpolation. His original work however appears to be very scarce; and the chapters in which he describes his method—the 12th and 13th—are omitted, even in the Edition published by Vlacq in Briggs's lifetime. We believe, therefore, that this translation by Mr. Williams of those parts of Briggs's Preface in which he describes his method of Interpolation, will prove very acceptable to our readers.—ED. J. I. A.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 14 , Issue 2 , January 1868 , pp. 73 - 88
Copyright
Copyright © Institute and Faculty of Actuaries 1869

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References

page 73 note * Briggs, like most, if not all, of his contemporaries, wrote in Latin.

page 77 note * The numbers here printed in antique type are not inserted in the original; but they have been added to make the author's process more easily followed, in conformity with his remark made further on, p. 81.

page 79 note * Not only for Logarithms are all to be subtracted, but also for Tangeuts, Secants, and for any the same powers of equidistant numbers. For Sines, however, the differences contained in columns B, D, F, H, are to be added to the mean differences placed in column A: but the others in columns C, E, G, I, are to be subtracted.

page 80 note * These differences are here printed in antique type.

page 82 note * Briggs's Tables of Logarithms contain, not only the logarithms to 14 decimal places, but also the differences between successive logarithms.