 | Charles Davies, William Guy Peck - 1855 - 628 sider
...numbers, and proceed with them separately, according to the conditions of the problem, noting the results. Then, as the difference of these results, is to the difference of the assumed numbers, so is the difference between the true result and either of the deduced results, to... | |
 | Elias Loomis - 1858 - 394 sider
...numbers nearly equal to the value of x, and substitute them for x in the given equation. Then say, As the difference of these results, Is to the difference of the two assumed numbers, So is the error of either result, To the correction required in the corresponding assumed number. Ex. 1. Given... | |
 | Benjamin Greenleaf - 1863 - 374 sider
...value of x as possible, and substitute them for x separately. Then say, As the difference of the remits 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... | |
 | Olinthus Gregory - 1863 - 482 sider
...Course of Mathematics." RULE. " 1. Find, by, trial, two numbers as near the true root 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,... | |
 | Elias Loomis - 1864 - 386 sider
...numbers nearly equal to the value of x, and substitute them for x in the given equation. Then say, As the difference of these results, Is to the difference of the two assumed numbers, So is the error of either result, To the correction required in the corresponding assumed number. Ex. 1. Given... | |
 | Benjamin Greenleaf - 1864 - 420 sider
...numbers nearly equal to x, substitute them for x, and note the results. Then, As the difference of the results is to the difference of the two assumed numbers, so is either error to the correction required in the corresponding assumed number. 28* EXAMPLES. 1. Required... | |
 | Joseph Ray - 1866 - 420 sider
...note the results. Then, from (7), we have (Art. 263) the proportion, As the difference of the errors, is to the difference of the two assumed numbers, so is the error of cither result, to the correction to be applied to the corresponding assumed number. Ex. 1.—... | |
 | Joseph Ray - 1852 - 422 sider
...substitute them for x in the given equation, and note the results. Then, As the difference of the errors ; Is to the difference of the two assumed numbers ; So is the error of either result ; To the correction to be applied to the corresponding assumed number. Ex. 1.... | |
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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... 
