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" Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, and either of the former, to the correction of the number belonging to the result used ; which correction being added... "
An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ... - Side 258
av John D. Williams - 1840 - 605 sider
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A Treatise on Algebra

Elias Loomis - 1846 - 346 sider
...member, we have a; log. x = log. a. Find now, by trial, two numbers nearly equai to the value of x, and substitute them in the given equation instead of the unknown quantity. Then say, jls the difference of these results, Is to the difference of the two assumed numbers, So...
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A Treatise on Algebra

Elias Loomis - 1846 - 346 sider
...member, we have x log. x = log. a. Find now, by trial, two numbers nearly equai to the value of x, and substitute them in the given equation instead of the unknown quantity. Then say, ¿Is the difference of these results, Is to the difference of the two assumed numbers. So...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...been brought to its usual form.* Rule. Find, by trial, two numbers nearly equal to the root required, and substitute them in the given equation instead...and either of the former, to the correction of the number belonging to the result used ; which correction being added to that number when it is too little,...
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The scholar's guide to arithmetic; or, A complete exercise-book

John Bonnycastle - 1851
...numbers, and proceed with them separately, according to the conditions of the question, noting the results obtained from each. Then, as the difference of these results is to the difference of the supposed numbers, so is the difference between the true result and either of the former, to the correction...
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BONNYCASTLE'S INTRODUCTION TO ALGEBRA; CONTAINING THE INDETERMINATE AND ...

JAMES RYAN - 1851
...RULE.—Find, by trial, as in the rule before laid down, two numbers as near the number sought as possible, and substitute them in the given equation instead of the unknown quantity, noting the results obtained from each. X log. X = log. <2, And if the number thus determined, and the nearest of the two...
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Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - 1851 - 444 sider
...error," given in Gregory's Mathematics. Find, by trial, two numbers as near the true root as possible, and substitute them in the given equation instead of the unknown quantity, marking the errors which arise from them. Multiply the difference of the two numbers, found by trial,...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 336 sider
...true value of x as possible, and substitute them for x separately. Then say, As the difference of the results is to the difference of the two assumed numbers, so is the difference of the true result and either of the former, to the difference of the true number and the supposed...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 396 sider
...them for a: in the given equation, and note the results. Then, As the difference of the errors ; t Is to the difference of the two assumed numbers ; So is the error of either result ; To the correction to be applied to the corresponding assumed number. Ex. 1...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1854 - 360 sider
...true value of x as possible, and substitute them for x separately. Then say, As the difference of the results is to the difference of the two assumed numbers, so is tlie difference of the true result, and either of the former, to the difference of the true number...
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A Treatise on Algebra

Elias Loomis - 1855 - 316 sider
...numbers nearly equal to the value of x, and substitute them for x in the given equation. Then say, As the difference of these results, Is to the difference of the two assumed numbers, So is the error of either result, To the correction required in the corresponding assumed number. Ex. 1. Given...
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