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" ... 4. Divide the dividend by the divisor, and the quotient will be the next term of the root. 5. Involve the whole root... "
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 50
by John Bonnycastle - 1811 - 220 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...•**" r — I L, I — Z,, a • ~L7r +K / rriXr+a 37 ' 7 r ff L,r 4ad ' • t — a _ L, l—L,a 5. Divide the dividend by the divisor, and the quotient will be the term sought. NOTE. When the first term of the series is equal to the ratio, the indices must begin...
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A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ...

Paul Deighan - Arithmetic - 1804 - 504 pages
...and multiply it by the index of the given power for a divifor, 4. Divide the dividend by the divifor, and the quotient will be the next term of the root. 5. Involve the whole root, and fubtraft and divide as before ; and fo on till the whole is fini (lied. EXAMPLES. t. Required the cube...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...the first term, and place it in the quo.pent. 2. Subtract the power, and bring down the second terra for a dividend. 3. Involve the root, last found, to...subtract and divide as before ; and so on till the whole be finished. j. Required the square root of a* — 2a3r— 2<z3r+3a2/-» — 5 a*— 2a 3r+3asra—...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...bring down the second term for a dividend. 3. Involve the root, already found, to the next inferior power, and multiply it by the index of the given power...the next term of the root. 5. Involve the whole root to the given power, and subtract it from, the given quantity ; then bring down the next term, and proceed...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...ars < ' r n V — IXs+a — Z,a L,r s — a 4 asl < r K— T n LJ-L,a Z,5 — a — Z,A- — / \ 5. Divide the dividend by the divisor, and the quotient will be the term sought. N0TE. When the first term of the series is equal to the ratio, the indices must begin...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - Mathematics - 1814 - 540 pages
...found to the next lower power, and multiply it by the index of the given power, for a divisor. IV. Divide the dividend by the divisor, and the quotient will be the next term of the root. V. Involve the whole root, subtract, divide, and proceed as before, until the whole is finished. EXAMPLES....
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Easy Introduction to Mathematics, Volume 1

Charles Butler - 1814 - 540 pages
...for a divisor ; but if less, mark the greater extreme. and the marked ones together for a divisor; divide the dividend by the divisor, and the quotient will be the answer in the same denomination the second term was brought into ». EXAMPLES. l. If 6 men spend 154...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...the first term to a power whose index is 1 less than the number of terms multiplied for a divisor ; divide the dividend by the divisor, and the quotient will be the term sought. NOTE. — When the first term of the series is equal to the ratio, the indices must begin...
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The Edinburgh Philosophical Journal, Volume 14

Science - 1826 - 418 pages
...dividend ; and subtract the former part of this product from the given radius, for a divisor. Then divide the dividend by the divisor, and the quotient will be the other radius. a, = .600 Focal length, = 12 ~iv~n~ viif from 10 7-2 = first product] take 7.3 Given...
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The Edinburgh Philosophical Journal, Volume 14

Science - 1826 - 428 pages
...dividend ; and subtract the former part of this product from the given radius, for a divisor. Then divide the dividend by the divisor, and the quotient will be the other radius. Example. — The index of a piece of flint-glass is 1-600, and one of its curvatures...
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