Arithmetical Institutions. Containing a Compleat System of Arithmetic Natural, Logarithmical, and Algebraical in All Their Branches: ... by the Rev. Mr. John Kirkby
Arithmetical Institutions. Containing a Compleat System of Arithmetic Natural, Logarithmical, and Algebraical in All Their Branches: ... by the Rev. Mr. John Kirkby
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1735 Excerpt: ...finding Mean Geometrical Proportionals, so long as they either exceed or fall short of 9 by the Value of 0.0000001, according to the Number-of Fractional Parts which the Logarithms are designed to consist of: Which will not happen till the twenty and sixth Trial, as in the following Table. R 9.0002412 Jt 9.0000831 5 8 ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1735 Excerpt: ...finding Mean Geometrical Proportionals, so long as they either exceed or fall short of 9 by the Value of 0.0000001, according to the Number-of Fractional Parts which the Logarithms are designed to consist of: Which will not happen till the twenty and sixth Trial, as in the following Table. R 9.0002412 Jt 9.0000831 5 8.9999250 f 9.0000831 P 9.0000041 5 8.9999250 V 9,0000041 X 8.9999650 S 8.9999250 V 9.0000041 r 8.9999845 JT 8.9999650 V 9.0000041 Z 8.9999943 / 8-9999845 P 9.0000041 a 8.9999992 Z 8.9999943 P 9.0000041 b 9.0000016 a 8.9999992 9.0000016 f 9.0000004 a 8.9999992 9,0000004 d 8.9999998 a 8.9999992 c 9.0000004 9.0000000 d 8.9999998 Therefore the Logarithm of 9 is 0.95424251 near. Afar 6. After the same manner, if Mean Proportionals be found between A and C with their respective Logarithms, will be found the Logarithm of die Number 2: And so for any other Number. 7- The Logarithms of all Composit Numbers, or such as are compounded of other Numbers, will be had from the Logarithms of those Numbers of which they are compounded, and vice versa; Ex. gr. the Logarithm of 9 doubled will give the Logarithm of 81, trebled will give the Logarithm of 729, &c. and halfed will give the logarithm of 3. Again the Logarithm of 3 added to the Logarithm of 9 or subtracted from the Logarithm of 81 will give the Logarithm of 27: And if the Logarithm of 3 be added to the Logarithm of 729 it will give the Logarithm of 2187, if subtracted from it the Logarithm of 243, &V. And so for the Logarithms of any other Numbers. 8. When the Logarithm of any Number is got, the Logarithms of all Numbers on the fame fide of (i. e. either above or below) Unity which are in a ten-fold Ratio of it, are also had by only changing the Charatleristick according to the Plac...
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All Editions of Arithmetical Institutions. Containing a Compleat System of Arithmetic Natural, Logarithmical, and Algebraical in All Their Branches: ... by the Rev. Mr. John Kirkby
