 | John D. Williams - Algebra - 1840 - 216 pages
...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,... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...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, "Which correction being added to that number when it is... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...member, we have x log. x = log. a. Find now, by trial, two numbers nearly equai to the value of x, and substitute them in the given equation instead of the unknown quantity. Then say, ¿Is the difference of these results, Is to the difference of the two assumed numbers. So... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...member, we have a; log. x = log. a. Find now, by trial, two numbers nearly equai to the value of x, and substitute them in the given equation instead of the unknown quantity. Then say, jls the difference of these results, Is to the difference of the two assumed numbers, So... | |
 | John Bonnycastle - 1851 - 314 pages
...numbers, and proceed with them separately, according to the conditions of the question, noting the results obtained from each. 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 correction... | |
 | John Bonnycastle - Algebra - 1851 - 288 pages
...RULE.—Find, by trial, as in the rule before laid down, two numbers as near the number sought as possible, and substitute them in the given equation instead of the unknown quantity, noting the results obtained from each. X log. X = log. <2, And if the number thus determined, and the nearest of the two... | |
 | Frederick Overman - Building - 1851 - 452 pages
...error," given in Gregory's Mathematics. 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 them. Multiply the difference of the two numbers, found by trial,... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...true value of x as possible, and substitute them for x separately. Then say, 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... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...them for a: in the given equation, and note the results. Then, As the difference of the errors ; t 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... | |
 | Benjamin Greenleaf - Algebra - 1854 - 374 pages
...true value of x as possible, and substitute them for x separately. Then say, As the difference of the results is to the difference of the two assumed numbers, so is tlie difference of the true result, and either of the former, to the difference of the true number... | |
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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... 
