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" The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the... "
Crocker's Elements of land surveying. To which are added, Tables of six ... - Page 8
by Abraham Crocker - 1841
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...

Euclid - Euclid's Elements - 1751 - 420 pages
...whenever one number is to be divided by another, it is but fubtr acting the logarithm of the divifor from the Logarithm of the dividend, and the remainder will be the Logarithm Z of of the quotient ; and bccaufe every fraction is nothing elfe but the quotient of the numerator...
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Select Parts of Professor Saunderson's Elements of Algebra: For the Use of ...

Nicholas Saunderson - Algebra - 1761 - 438 pages
...whenever one number is to be divided by another, it is but fubtra&ing the logarithm of the divifor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient : and thus by the help of logarithms may the operation of divifion be performed by mere fubtraction...
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Select Parts of Saunderson's Elements of Algebra: For the Use of Students at ...

Nicholas Saunderson - Algebra - 1776 - 436 pages
...whenever one number is to be divided by another, it is but fubtracting the logarithm of the divifor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient : and thus by the help of logarithms may the operation of divifion be performed by mere fubtraction...
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The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - Education - 1802 - 556 pages
...fixth power fextuple, &c. To perform divifion by logarithms, fubtrack the logarithm of the divifor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient, firft changing the Ggn of the logarithm of the index of the divifor, and if they be of different figns,...
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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volume 2

Thomas Hodson - Arithmetic - 1806 - 488 pages
...fixth power ftxtuple, &rc. To perform divifion by logarithms, fubtract the logarithm of the divifor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient, firft changing the fign of the logarithm of the index of the divifor, and if they be of different figns,...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...therefore 51-3 divided by 10000 gives -00513 the product as before. t Division ly Logarithms. 183, SUBTRACT the logarithm of the divisor from the logarithm of the dividend, and the remainder is the logarithm of the quotient. (l62j VOL. i. z LOGARITHMS. Examples. I. Divide 1416 by 59. HI6 log....
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...'004 X '275 X 336. Answer 29-128. PROPOSITION VIII. (M) To divide one number by another. * Subtract the logarithm of the divisor from the logarithm of...the remainder will be the logarithm of the quotient. If any of the indices be negative, or if the divisor be greater than the dividend, change the index...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

Arithmetic - 1818 - 264 pages
...divided by 1000. Hence it. is manifest, that. A POWER may be divided by another power of the same root, by subtracting the logarithm of the divisor, from the logarithm of the dividend. So also if the logarithm of any number be multiplied by the index of its power, the product will be...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 12

Encyclopedias and dictionaries - 1823 - 856 pages
...cancels tbe — 2, and there remains the — i to set down. DIVISION BT LOGARITHMS. RULE. SUBTRACT the logarithm of the divisor from the logarithm of the dividend, and the number answering to the remainder will be tbe logarithm of the quotient required. Observing to change...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 504 pages
...-004 x -275 x 336. Answer 29-128. PROPOSITION VIII. (M) To divide one number by another.* Subtract the logarithm of the divisor from the logarithm of...the remainder will be the logarithm of the quotient. If any of the indices be negative, or if the divisor be greater than the dividend, change the index...
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