 | John Bonnycastle - Algebra - 1811 - 230 pages
...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 - Algebra - 1813 - 456 pages
...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 - Algebra - 1818 - 326 pages
...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 - Algebra - 1818 - 284 pages
...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 - Mathematics - 1823 - 666 pages
...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 - Algebra - 1825 - 336 pages
...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 - Algebra - 1829 - 372 pages
...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... | |
 | William Tate - 1837 - 358 pages
...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 Bonnycastle - Algebra - 1837 - 296 pages
...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 number belqnging to the result used ; which correction, being added to that number when it is too little,... | |
 | John Radford Young - 1839 - 332 pages
...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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... 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, and either of the former, to the correction of the... 
