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" Add the quotient, last found, to the number belonging to that error, when its supposed number is too little, but subtract it when too great, and the result will give the true root nearly. 4. Take this root and the nearest of the two former, or any other... "
The Principles of Algebra - Page 97
by William Frend - 1796
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1782 - 226 pages
...great, and the refult will give the true root nearly. 4. Take this root and the neareft of the former, and, by proceeding in like manner, a root will be...before ; and fo on to any degree of exaftnefs required. EXAMPLES: I. Given #* — zoo, to find the value of x by approximation. By the nature of logarithms...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...it, when too great ; and the result will give the true root nearly. 4. Take this root and the nearest of the two former,- or any other, that may be found nearer ; and, by proceeding in like manner as above, a root will be had still nearer than before ; and so on, to any degree of exactness required....
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...it when too great, and the result will give the true root nearly. 4. Take this root and the nearest of the two former, or any other that may be found nearer; and, by proceeding in like manner as above, a root will be had still nearer than before. And so on to any degree of exactness required....
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...after the operation .has been performed, according to the rule, the number so obtained, and the nearest of the two former (or any other that may be found nearer) may be taken as new suppositions ; and so ODj till the answer is found to a sufficient degree of exactness....
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...it when too great, and the result will give the true root nearly. 4. Take this root and the nearest .of the two former, or any other that may be found nearer ; and, by proceeding in like manner as above, a root will be had still nearer than before. And so ou to any degree of exactness required....
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 484 pages
...•when too great, and the result will give the true root nearly. " 4. Take this root and the nearest of the two former, or any other that may be found...and, by proceeding in like manner, a root will be had still nearer than before ; and so on to any degree of exactness required. " Note. — It is best to...
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Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - Building - 1851 - 452 pages
...subtract it when too great, and the result will give nearly the true root. Take this root, and the nearest of the two former, or any other that may be found...and, by proceeding in like manner, a root will be had still nearer than before. This can be continued to any degree of exactness. The root of the equation...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...it when loo great, and the result will give the true root nearly. 4. Take this root and the nearest of the two former, or any other that may be found nearer; and, by proceeding in like manner as above, a root will be obtained nearer than before. Proceeding in the same manner, we may obtain...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1853 - 370 pages
...quantity is too little, but subtract i when too great, and the result will give the true root nearly. other that may be found nearer; and, by proceeding in like manner as above, a root will be obtained nearer than before. Proceeding in the same manner, we may obtain...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...when too great, and the result will give the true root nearly. " 4. Take this root and the nearest of the two former, or any other that may be found...and, by proceeding in like manner, a root will be had still nearer than before ; and so on to any degree of exactness required. " Note. — It is best to...
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