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" Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the product will be the Logarithm, whose natural number is the power required. "
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ... - Page 381
by Euclid - 1751 - 384 pages
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1814 - 558 pages
...Answer =2.411 =0.382107 INVOLUTION. To find any proposed pomer of a given number by Logarithms. Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the product will be the Logarithm, whose natural number is the power required....
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...10 ; but when the index is negative, add it to 9, and subtract the rest as before. IV. INVOLUTION. Multiply the Logarithm of the given number by the index of the power to be raised, and the product is the Logarithm of the power required. If the index of the Logarithm...
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A New, Copious and Complete System of Arithmetic: For the Use of Schools and ...

James Maginness - Arithmetic - 1821 - 378 pages
...6.944=0.841610 " .. ' '-' ' . : «! ,, . IK VOLUTION. To find any power of a given number by logarithms, HULK. Multiply the logarithm of the given number by the index of the proposed power, and the product will be the logarithm, whose natural number is the power required....
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 12

Encyclopedias and dictionaries - 1823 - 856 pages
...logarithms of these numbers, and subtract 20 i'rom the sum of the Indices. INVOLUTION BY LOGARITHMS. EULE. MULTIPLY the logarithm of the given number by the index of the power, and the number answering -to the product will be the power required. Note. — In multiplying...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 454 pages
...from the commencement of the chase. PROBLEM VI. — To perform Involution by Logarithms. RULE .— Multiply the logarithm of the given number by the index of the power, and the product will be the logarithm of the power required. Ex. 1. — What is the square of...
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Mathematical Tables for Practical Men: Comprising Several New and Useful ...

J. A. Powers - Mathematics - 1845 - 84 pages
...Answer = 42.91 seconds, whose logarithm = remainder = 1.633569 Involution by Logarithm!. RULE. — Multiply the logarithm of the given number by the index of the proposec 5ower, and the product will be a logarithm whose corresponding natural number is he power...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 604 pages
...3-24718 0-5115064 Ans. -8240216.... T-9159386 INVOLUTION; OR, THE RAISING OF POWERS, BY LOGARITHMS. Multiply the logarithm of the given number by the index of the proposed power ; then the natural number answering to the result will be the power required. Observing,...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 494 pages
...and the remainder will be the logarithm of the fourth term. Involution, or Raising of Powers. RULE. Multiply the logarithm of the given number by the index of the proposed power ; and the product will be the logarithm of the power sought. Evolution, or Extraction...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1863 - 600 pages
...of 3-24718 0-5115064 Ans. -8240216 T-9159386 INVOLUTION; OR, THE RAISING OF POWERS, BY LOGARITHMS. Multiply the logarithm of the given number by the index of the proposed power ; then the natural number answering to the result will be the power required. Observing,...
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - Algebra - 1866 - 420 pages
...logarithms of 100 and of N" respectively. Hence, to extract any root of a number, Rule. — Divide the logarithm of the given number by the index of the required root for the logarithm of the root of the number. 3. Find the third power of 4 by means of logarithms....
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