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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 ... - Σελίδα 258
των John D. Williams - 1840 - 605 σελίδες
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

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...been brought to its usual form. RULE. Find, by trial, two numbers as near the true root as possible, and substitute them in the given equation instead...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...

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...given equation. z log. x= log. a, instead of the unknown quantity, noting the results obtained frnm each. Then, as the 'difference of these results is...so is the difference between the true result, given in, the question, and either of the former, to the correction of the number belonging to the result...

An Introduction to Algebra: With Notes and Observations : Designed for the ...

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...been brought to its usual form. HULK. Find, by trial, two numbers as near the true root as possible, and substitute them in the given equation in"stead...quantity, noting the results that are obtained from each. i Then, as the difference of these results is to the difference of the two assumed numbers, so is the...

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James Mitchell - 1823 - 666 σελίδες
...with them sepaately, according to the conditions f the question, noting tbe- results btanic-d from it. 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 correclitrtl...

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...in the given equation ,:• .r log. or-log. a, instead of the unknown quantity, noting the results obtained from each. ^ Then, as the difference of these...so is the difference between the true result, given in the question, and either of the former, to the correction of the number belonging to the result...

An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 372 σελίδες
...brought to ils usual form. RUf.E II. Find, by trial, two numbers as near the true root as possible, and substitute them in the given equation instead...Then, as the difference of these results is to the differ' ence of the two assumed numbers, so is the difference between the true result, given by the...

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...usual form.* * Another method of approximating to the roots of equations will be in the Addenda. RULE. Find, by trial, two numbers nearly equal to the root...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,...

A Complete System of Commercial Arithmetic, Its Application to the Principal ...

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...convenient; use each in the place of the one required, and find each result Then say, by proportion, as the difference of these results Is to the difference...so is the difference between the true result given and either of the former, to a correction which is to be applied, in addition or subtraction, to the...

An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

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...the true value of x as possible, and substitute them separately for x, then, 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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