| John Bonnycastle - 1811 - 220 sider
...an exponential equation* RULE*. 1. Find, by trial, two numbers, as near the true roo't 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, found... | |
| John Bonnycastle - 1813
...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... | |
| John Bonnycastle - 1818 - 260 sider
...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... | |
| John Bonnycastle - 1818 - 260 sider
...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... | |
| James Mitchell - 1823 - 576 sider
...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 - 1825 - 312 sider
...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... | |
| John Bonnycastle - 1829 - 312 sider
...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... | |
| John Bonnycastle - 1836 - 80 sider
...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,... | |
| William Tate - 1837 - 337 sider
...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... | |
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