 | John Bonnycastle - Algebra - 1851 - 288 pages
...axioms and.processes are required, the most useful and necessary of which are the following:—f CASE I. Any quantity may be transposed from one side of an equation to the other, by changing its sign ; and the two members, or sides, will still be equal. Thus, if x + 3 = 7 ; then... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...-\-b and — dx to the opposite members of the equation, and at the same time changed their signs. Hence, Any quantity may be transposed from one side...of an equation to the other, if, at the same time, its sign be changed. This is termed the Rule of Transposition. TO CLEAR AN EQUATION OF FRACTIONS. ART.... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...-4-6 and — dx to the opposite members of the equation, and, at the same time, changed their signs. Hence, Any quantity may be transposed from one side...of an equation to the other, if, at the same time, its sign be 'changed. TO CLEAR AN EQUATION OF FRACTIONS. ART. 1 54.— 1 . Let it be required to clear... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...following remarks, which are founded on the preceding axioms, apply to all classes of equations. 85. A quantity may be transposed from one side of an equation to the other by changing its sign from + to — , or from — to +, without destroying the equality. Thus if x +... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...-|-6 and — dx to the opposite members of the equation, and at the same time changed their signs. Hence, Any quantity may be transposed from one side of an equation tc the other, if, at the same time, its sign be changed. This is termed the Rule of Transposition.... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...Fractions — How by means of Least Common Multiple — Advantage of this Method, (115) . — How any term may be Transposed from one Side of an Equation to the other, (116). — Change of the Signs in an Equation, (117). RULE XVII. For the Solution of a Simple Equation... | |
 | Isaac Todhunter - 1860 - 620 pages
...multiply by 12, which is the L. c. M. of 2, 3 and 4. Thus we obtain at once 6x + ±x + 3x = 156. 156. Any quantity may be transposed from one side of an equation to ttie other side by changing its sign. Thus suppose, x — a = b — y. Add a to each side, (Art. 98);... | |
 | James A. Christie - 1865 - 454 pages
...shares = £42- x 2- = £84- = A's portion. TRANSPOSITION IN EQUATIONS. Any Quantity preceded by + or — may be Transposed from one side of an Equation to the other, if its sign be reversed. That is to say, in Transposing, + must be exchanged for — — must be exchanged... | |
 | Art - 1865 - 480 pages
...Logical System under consideration is, that, in the latter as well as in the former, a literal symbol may be transposed from one side of an equation to the other by changing the sign of operation, + or — . But there is an important relation which subsists in... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...-\-t> and — dx to the opposite members of the equation, and at the »ame time changed their signs. Hence, Any quantity may be transposed from one side...of an equation to the other, if, at the same time, its sign be changed. This is termed the Rule of Transposition. TO CLEAR AN EQUATION OF FRACTIONS. ART.... | |
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Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed. 
