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" Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art. "
Surveying and Navigation: With a Preliminary Treatise on Trigonometry and ... - Page 22
by Aaron Schuyler - 1873 - 482 pages
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...by Logarithms. 188. DIVIDE the logarithm of the number whose root is required by the index denoting the root, and the quotient will be the logarithm of the root. (187) Exampks, 1. What is the square root of 7569. Index 2) 3-S7P039 log. of 7S6P. l-!i3." .•)!•)...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - Mathematics - 1814 - 540 pages
...the indejc of the logarithm is affirmative, RULE. Divide the given logarithm by the number denoting the root, and the quotient will be the logarithm of the root required. EXAMPLES. 1 . Extract the square root of 26.725. Explanation . OPERATION. , d¡TÍde the...
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...to be carried to the index, and managed as shown above. EVOLUTION. Divide the Logarithm of the power by the index of the root, and the quotient will be the Logarithm required. Ex. 22. — Find the square root of 688.01 29. 688.0129 Log. of is 2.8375966 which divided...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...RULE. To extract the root of a number by means of logarithms, divide the logarithm of the given number, by the index of the root, and the quotient will be the logarithm of the root. EXAMPLE I, Required the 4th root of .434296. log. of .434296 . . , L637786 £ of this logarithm is...
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - Best books - 1841 - 722 pages
...like manner, the extraction of any root is performed simply by dividing the logarithm of the number, by the index of the root, and the quotient will be the logarithm of the root required. CHAPTER HI. GEOMETRY. GEOMETRY, is that branch of Mathematics which treats of the measurement...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...root of simple algebraic quantities, not affected with coeficients. Divide the exponent of the power, by the index of the root, and the quotient will be the exponent of the root. With these explanations, we proceed to exhibit the rules for the addition, subtraction,...
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Pantology; or, A systematic survey of human knowledge

Roswell Park - 1847 - 632 pages
...like manner, the extraction of any root is performed simply by dividing the logarithm of the number, by the index of the root, and the quotient will be the logarithm of the root required CHAPTER III. GEOMETRY. GEOMETRY, is that branch of Mathematics which treats of the measurement...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...— To extract the root of a number by means of logarithms, divide the logarithm of the given number, by the index of the root, and the quotient will be the logarithm of the root. EXAMPLES. 1. Required the 4th root of '434296. log. of -434296 T-63779 J of this logarithm is obtained...
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Rudimentary Treatise on Logarithms

Henry Law - Logarithms - 1853 - 84 pages
...required. RULE II. — To extract any root of a number, divide the logarithm of that number by the exponent of the root, and the quotient will be the logarithm of the root required. EXAMPLES. What it the square of 745, the cube of 67, and the 7th power of 8 1 Logarithm of...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 468 pages
...thus, v/as=a?, and, generally, to extract any root of a number, we divide the exponent of the number by the index of the root, and the quotient will be the exponent of the required root. Hence, the logarithm of a root of a number is equal to the quotient...
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