Table of Quarter-Squares of All Integer Numbers, Up to 100, 000: By Which the Product of Two Factors May Be Found by the Aid of Addition and Subtraction Alone (Classic Reprint) - Hardcover

Samuel Linn Laundy

9780260039835: Table of Quarter-Squares of All Integer Numbers, Up to 100, 000: By Which the Product of Two Factors May Be Found by the Aid of Addition and Subtraction Alone (Classic Reprint)

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ISBN 10: 0260039837 ISBN 13: 9780260039835

Publisher: Forgotten Books, 2018

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Excerpt from Table of Quarter-Squares of All Integer Numbers, Up to 100, 000: By Which the Product of Two Factors May Be Found by the Aid of Addition and Subtraction Alone

IN December last the author had the honor of reading before the Institute of Actuaries, a Paper On a Method of finding the Product of two Factors by means of the Addition and Subtraction of Natural N in which he gave some account of the con struction and use of the Table forming the subject of the present work. The Paper referred to was based upon the suggestions contained in an article contributed to the Journal of the Institute, entitled, On Multiplication by a Table of Single Entry, by J. J. Sylvester, Esq., m.a., which he shows that, by means of a'table of Squares, the product of any two numbers may be found by the aid of the processes of addition and subtraction alone, just as is the case in logarithmic computation, but with the advantage over that method of perfect precision in the result, and of the number of findings for each computation being only two in number, the third, and by far the most troublesome of the three findings, viz., that of finding back the number corresponding to the result of the linear (meaning thereby additive or subtractive) process, which occurs in the logarithmic, not arising in the method about to be explained.

The present work is offered to the public at the suggestion of several eminent actuaries who have expressed a favorable opinion of its utility; and it is with the impression that it will be of considerable service to computers generally, that the author has been encouraged to undertake the superintendence of the publication of so great a mass of figures; and should it answer the end in view, he will be amply repaid for the trouble it has cost him.

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