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" There will be as many figures in the root as there are periods in the given number. "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Page 107
by Charles William Hackley - 1864 - 503 pages
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A New Introduction to the Mathematicks: Being Essays on Vulgar and Decimal ...

Benjamin Donne - Algebra - 1758 - 428 pages
...Number, will give one Decimal in the Root ; (becaufe it is known from Evolution in common Arithmetic, that there will be as many Figures in the Root, as there are Dots (.) over the given Number; and, by the 3 6th Chap, of the firft Eflay, in the Square Root the...
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The Principles of Algebra

William Frend - Algebra - 1796 - 688 pages
...more than 100, and lefs than i ooo, and confequently confins of three figures, and fo on. And hence there will be as many figures in the root as there are points placed over the number whofe root was to be found. Find the fécond root of 576. la = 40 44)...
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Select Amusements in Philosophy and Mathematics: Proper for Agreeably ...

L. Despiau - Amusements - 1801 - 430 pages
...the preceding example, we muft firft divide the number into periods of two, from right to left, and there will be as many figures in the root as there are periods. / Then as the greateft fquare contained in zt is i6> tlie fquare root of which is ±, write down the...
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Scientific Amusements in Philosophy and Mathematics: Including Arithmetic ...

William Enfield (M.A.) - Amusements - 1821 - 302 pages
...the preceding examples, we must first divide the number into periods of two, from right to left, and there will be as many figures in the root as there are periods. Then, as the greatest 21, 43, 69 (463 square contained in 21 is 16, jg the square root of which is...
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...having doubled the last figure 1 ; then by dividing we obtain, 3, the third figure of the root. NOTE 1. There will be as many figures in the root as there are periods in the given number. NOTE 2. If the given number has not an exact root, there will be a remainder after...
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A Catechism and Notes Upon the Algebras of Bourbon and Lacroix: For the Use ...

Charles William Hackley - Algebra - 1834 - 38 pages
...3n nor less than 2n. That of four figures cannot contain more than 4n nor less than 3n, &c. The w"1 root of a number being required, it is evident from...on the left. The root may be divided into units and tens, and the »** power of it, or the given number, will be equal, according to the binomial theorem,...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...of it and divide it into periods consisting of as many figures each as the exponent of the root, and there will be as many figures in the root as there are periods. If there is a portion of a period on the left hand of the entire ones, that must be considered as a...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...of it and divide it into periods consisting of as many figures each as the exponent of the root, and there will be as many figures in the root as there are periods. If there is a portion of a period on the left hand of the entire ones, that must be considered as a...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...having doubled the last figure 1 ; then by dividing we obtain 3, the third figure of the root. NOTE 1 . There will be as many figures in the root as there are periods in the given number. NOTE 2. If the given number has not an exact root, there will be a remainder after...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 320 pages
...into parts or periods of two figures each. The left hand period may consist of one or two figures. There will be as many figures in the root, as there are periods in the power. Separating 127449 into periods, we see that the root must contain three figures, or hundreds,...
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