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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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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 sider
...numbers, and proceed with them separately, according to the conditions of the problem, noting the results. Then, as the difference of these results, is to the difference of the assumed numbers, so is the difference between the true result and either of the deduced results, to...
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A Treatise on Algebra

Elias Loomis - 1858 - 359 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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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1863 - 360 sider
...value of x as possible, and substitute them for x separately. Then say, As the difference of the remits 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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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863
...Course of Mathematics." RULE. " 1. 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 each of them. " 2. Multiply the difference of the two numbers,...
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A Treatise on Algebra

Elias Loomis - 1864 - 359 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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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1864 - 394 sider
...numbers nearly equal to x, substitute them for x, and note the results. Then, As the difference of the results is to the difference of the two assumed numbers, so is either error to the correction required in the corresponding assumed number. 28* EXAMPLES. 1. Required...
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Elements of Algebra: For Colleges, Schools, and Private Students, Bok 2

Joseph Ray - 1866 - 406 sider
...note the results. Then, from (7), we have (Art. 263) the proportion, As the difference of the errors, is to the difference of the two assumed numbers, so is the error of cither result, to the correction to be applied to the corresponding assumed number. Ex. 1.—...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for High ..., Del 2

Joseph Ray - 1852 - 396 sider
...substitute them for x in the given equation, and note the results. Then, As the difference of the errors ; 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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