 | 1801
...but they may be all easily resolved by the following rule of Double Position. Y RULE, RULE.* j. Find by trial two numbers, as near the true root as possible, and substitute them separately in the given equation^ instead of the unknown quantity ; marking the errors, which arise... | |
 | John Bonnycastle - 1811 - 220 σελίδες
...of 1.05. Ans. 1.00013366. PROBLEM IX. To find the root of an exponential equation* RULE*. 1. Find, by trial, two numbers, as near the true roo't as possible,...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, found... | |
 | John Bonnycastle - 1813 - 428 σελίδες
...surds, or compound quantities, as readily as if it had been brought to its usual form. RULE. Find, by trial, two numbers as near the true root as possible,...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... | |
 | John Bonnycastle - 1818 - 260 σελίδες
...surds, or compound quantities, as readily as if it had been brought to its usual form. HULK. Find, by trial, two numbers as near the true root as possible,...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... | |
 | John Bonnycastle - 1818 - 260 σελίδες
...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... | |
 | James Mitchell - 1823 - 576 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... | |
 | John Bonnycastle - 1829 - 312 σελίδες
...surds, or compound quantities, as readily as if it had been brought to ils usual form. RUf.E II. Find, by trial, two numbers as near the true root as possible,...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... | |
 | William Tate - 1837 - 337 σελίδες
...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... | |
 | John Radford Young - 1839
...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... | |
 | John D. Williams - 1840 - 193 σελίδες
...been brought to its usual form. RULE II. Find, by trial, two numbers nearly equal to the root sought, and substitute them in the given equation instead...and either of the former, to the correction of the assumed number belonging to the result used, RESOLUTION OF EQUATIONS. And if the number thus determined,... | |
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... 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, or subtracted from it when it is too great, will give the root required nearly. 
