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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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Logarithmologia: Of The Whole Doctrine of Logarithms, Common and Logistical ...

Benjamin Martin - Logarithms - 1740 - 334 pages
...Involution of Numbers, or raifing them to any propofed Power by means of Logarithms -, which is this, . ["Multiply the Logarithm of the given Number by the Index of the Power, viz. 2, 3, 4, 5, . j &c. the Product fhall be the Logarithm of Vtz' ) the Power, viz. the Square,...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - 1771 - 342 pages
...the arith. сотр. of 2.6963564 is 7.3036436. 11. To raife a number to any power, by logarithms,' Multiply the logarithm of the given number by the index of the power ; the product is the logarithm of the power required. EXAM. Required the third ^potvetf ori*tft>e...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - Logarithms - 1779 - 476 pages
...the arith. сотр. of 2.6963564 is 7.3036436. 11. To raife a number to any power, by logarithms. Multiply the logarithm of the given number by the index of the power ; the produit is the logarithm of the power required. • . s, EXAM. Required the third power...
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Mathematical Tables: Containing the Logarithms of Numbers; Logarithmic Sines ...

John Brown (Mathematician) - Logarithms - 1789 - 146 pages
...£274 . = 2.4377506 To 9-433296 = L. 9 : 8 : 8. = 0.9746634 4. Involut1on , or the Raifing of Poiuert. Multiply the logarithm of the given number by the index of the power propofed, and the product will be the logarithm of the power fought. Note, In multiplying a logarithm...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...2.7592669 Here the i, taken from the — i, makes it become •— to be set down. Y LOGARITHMS, &ULE. v * 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. A negative index,...
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A Collection of Mathematical Tables,: For the Use of Students in ...

Andrew Mackay - Astronomy - 1804 - 354 pages
...perform IffrOL UTION by Logarithms, that is, toßnd the square, cube, ofc. of any given number. RULE. Multiply the logarithm of the given number by the index of the power, and the product is the logarithm of the power sought. EXAMPLES. I. What is the square of 58...
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The Theory and Practice of Finding the Longitude at Sea Or Land ..., Volume 2

Andrew Mackay - Latitude - 1809 - 414 pages
...perform INVOLUTION by Logarithms) that h, toßnd the Square, Cube, c^c. nf 'any given Number, RULK. Multiply the logarithm of the given number by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. EXAMPLES....
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Encyclopædia Britannica: or, A dictionary of arts and sciences ..., Volume 12

Encyclopaedia Britannica - 1810 - 816 pages
...logarithms of thefe numbers, and fubtraít 2O from the fum of the indices. INVOLUTION BT LOGARITHMS, RULE. MULTIPLY the logarithm of the given number by the index of the power, and the number anfwering to the produit will be the power required. r.^In multiplying a logarithm...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1811 - 580 pages
...Answer=2.4 1 1 -0.38-3 107 INVOLUTION. To find any proposed p^rer of a given number by Logarithms. Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the I OF LOGARITHMS. 33' product will be the Logarithm, whose natural number is...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...involve a number to any power; that is to find the square, cube, &fc. of a number logarithmically, RULE. Multiply the logarithm of the given number by the index of the power, viz. by 2 for the square, by 3 for the cube, &c. and the product will be the logarithm of the...
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