 | Samuel Alsop - Algebra - 1856 - 152 pages
...first of the above principles it follows that by changing the sign of any quantity it may be transposed from one member of an equation to the other, without destroying the equality. Thus, in the equation 4 x — 20 = 3 x + 56, the addition of 20 to both members gives 4 x = Зa: +... | |
 | Education - 1863 - 746 pages
...how near Robinson comes to the definition given by Davies, thus : — In Robinson's New Elementary. "Transposition is the process of changing a term from...equation to the other, without destroying the equality." (See Art. 135, p. 109.) In Dames' New Elementary. " Transposition is the operation of changing a term... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...members may be reduced, by evolution, to the same root ; (Ax. 9). 8 OASE I. 1«5O. To transpose the terms of an equation. Transposition is the process of changing...equation to the other, without destroying the equality. To exhibit the law of transposition, let us consider the three following examples : 1. — Let 05-fa... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...fractions. CASE I. 152, To transpose terms of an equation. TRANSPOSITION is the process of changing terms from one member of an equation to the other, without destroying the equality. 1. Let it be required, in ж — a = b, to transpose a to the second member. OPERATION Since we may add... | |
 | Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...members may be reduced, by evolution, to the same root ; (Ax. 9). CASE I. ISO. To transpose the terms of an equation. Transposition is the process of changing...equation to the other, without destroying the equality. To exhibit the law of transposition, let us consider the three following examples : 1. — Lot x-\-a... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...equal quantities be divided by the same quantity, the quotients will be equal. 135. .Transposition. — Transposition is the process of changing a term from...equation to the other without destroying the equality of the members. Let it be required to solve the equation If from the two equal quantities x+a and b... | |
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...involved or evolved to the same degree. TRANSPOSITION. 100. TRANSPOSITION is the changing of terms from one member of an equation to the other, without destroying the equality. The object of transposition is to bring all the unknown terms into one member and all the known into... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...equal quantities be divided by the same quantity, the quotients will be equal. 135. Transposition. — Transposition is the process of changing a term from...equation to the other without destroying the equality of the members. Let it be required to solve the equation • . - x+a=b. If from the two equal quantities... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...transforming an equation is to find the value of the unknown quantity, we present here ouly those cases necessary to the solution of Simple Equations. CASE...Transposition is the process of changing a term from one aember of ail equation to the other, without destroying the 'uality. , In x -)- a = b, transpose a... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 338 pages
...transforming an equation is to find the value of the unknown quantity, we present here only these cases necessary to the solution of Simple Equations. CASE...member. OPERATION. ANALYSIS. — Since the equality . _ i of the members is not destroyed " ' by taking the same quantity from Subtract- a — a both ^34>... | |
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To transpose any term of an equation. Transposition is the process of changing a term from one member of an equation to the other, without destroying the equality. 
