| Charles Davies, William Guy Peck - 1855 - 592 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 - 359 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 - 360 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
...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 - 359 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 - 394 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 - 406 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 - 396 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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