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 the other, BO that the unknown may... Bradbury's Elementary Algebra - Page 83by William Frothingham Bradbury - 1877 - 291 pagesFull view - About this book
| 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
...by Davies, thus : — In Robinson's New Elementary. "Transposition is the process of changing a term **from one member of an 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... | |
| 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... | |
| Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...OASE I. 1«5O. To transpose the terms of an equation. Transposition is the process of changing a term **from one member of an 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 - Algebra - 1864 - 420 pages
...CASE I. 151 • To transpose terms of an equation. TRANSPOSITION is the process of changing terras **from one member of an equation to the other, without destroying the equality.** 1. Let it be required to transpose — a in x — a = I. Adding a to each member (Art. 150) ; then... | |
| Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...CASE I. ISO. To transpose the terms of an equation. Transposition is the process of changing a term **from one member of an 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... | |
| Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...CASE I. 135. 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.** 1. In x + a = b, transpose a to the second member. OPERATION. ANALYSIS. Since the equality . _ , of... | |
| William Frothingham Bradbury - Algebra - 1868 - 270 pages
...involved or evolved, the other must be involved or evolved to the same degree. TRANSPOSITION. lOOi **TRANSPOSITION is the changing of terms from one member...into one member and all the known into the other,** so that the unknown may become known. 1. Find the value of x in the equation x -\- 16 = 24. Subtracting... | |
| William Frothingham Bradbury - Algebra - 1868 - 264 pages
...transposition is to bring all the unknown terms into one member and all the known into the other, so **that the unknown may become known. 1. Find the value of x in the equation x** -f- 16 = 24. Subtracting 16 from the first OPERATION. member leaves x ; but if 1 6 is subx ~r~ 16 =... | |
| Elias Loomis - Algebra - 1868 - 386 pages
...the quotients will be equal. 135. .Transposition. — Transposition is the process of changing a term **from one member of an 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... | |
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