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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, given... "
A Practical Treatise on Algebra: Designed for the Use of Students in High ... - Page 284
by Benjamin Greenleaf - 1852 - 336 pages
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...instead of the unknown quantity, noting the results obtained from each. Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given in the question, and either of the former, to the correction of the...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 326 pages
...instead of the unknown quantity, noting the results obtained frnm each. Then, as the 'difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given in, the question, and either of the former, to the correction of the...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 336 pages
...of the unknown quantity, noting the results obtained from each. ^ Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given in the question, and either of the former, to the correction of the...
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A Complete System of Commercial Arithmetic, Its Application to the Principal ...

William Tate - 1837 - 358 pages
...place of the one required, and find each result Then say, by proportion, as the difference of these results Is to the difference of the two assumed numbers, so is the difference between the true result given and either of the former, to a correction which is to be applied, in...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 pages
...trial two numbers as near the true value of x as possible, and substitute them separately for x, then, as the difference of the results is to the difference...the supposed one belonging to the result last used ; this difference therefore being added to the supposed number, or subtracted from it, according as...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...unknown quantity, noting the results that are obtained from each. Then, as the difference of these results is to the difference of the two assumed numbers, So is the difference between the true result, given by the question, and either of the former, to the correction of the...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 216 pages
...unknown quantity, noting the results that are obtained from each. Then, as the difference of these results is to the difference of the two assumed numbers, So is the difference between the true result, given by the question, and either of the former, to the correction of the...
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A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the ...

George Roberts Perkins - Algebra - 1842 - 370 pages
...trial two numbers as near the value of x as possible, and substitute them successively for x, then, as the difference of the results is to the difference...numbers, so is the difference of the true result, and cither of the former, to the. difference of the true number and the supposed one belonging to the result...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...=—.0957620 Second, let T2 = 3.6; then 3.6 log. 3.6= 2.0026890 true no. = 2.0000000 error = +.0026890 Then, as the difference of the results is to the difference of the assumed numbers, so is the least error to a correction of the assumed number corresponding to the least...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...=—.0957620 Second, let 3?2 = 3.6; then 3.6 log. 3.6= 2.0026890 true no. = 2.0000000 error = +.0026890 Then, as the difference of the results is to the difference of the assumed numbers, so is the least error to a correction of the assumed number corresponding to the least...
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