Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If the same operations are performed upon equal quantities, the results will be equal. Hence, — Both members of an equation may be increased, diminished, multiplied, or divided by the same quantity, without destroying the equality. "
New Elementary Algebra - Page 105
by Benjamin Greenleaf - 1879
Full view - About this book

An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...83. The reduction and solution of all equations depends upon the self-evident proposition, that Both members of an equation may be increased, diminished^...the same quantity, without destroying the equality. 84. Corollary. If all the terms of an equation have a common factor, this factor may be suppressed....
Full view - About this book

An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...83. The reduction and solution of all equations depends upon the self-evident proposition, that Both members of an equation may be increased, diminished,...the same quantity, without destroying the equality. 84. Corollary. If all the terms of an equation have a common factor, this factor may be suppressed....
Full view - About this book

An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...109. The reduction and solution of all equations depends upon the self.evident proposition, that Both members of an equation may be increased, diminished,...the same quantity, without destroying the equality. 110. Corollary. If all the terms of an equation have a common factor, this factor may be suppressed....
Full view - About this book

First Lessons in Algebra: In which the Elements of the Science are ...

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: +...
Full view - About this book

The Massachusetts Teacher, Volume 16

Education - 1863 - 744 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...
Full view - About this book

New University Algebra: A Theoretical and Practical Treatise, Containing ...

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...
Full view - About this book

New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...If the same operations are performed upon equal quantities, the results will be equal; hence, Both members of an equation may be increased, diminished,...or divided by the same quantity, without destroying t/ie equality. CASE I. 151 • To transpose terms of an equation. TRANSPOSITION is the process of changing...
Full view - About this book

New University Algebra: A Theoretical and Practical Treatise, Containing ...

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...
Full view - About this book

New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

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 the...
Full view - About this book

Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 270 pages
...must be involved or evolved to the same degree. TRANSPOSITION. lOOi 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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF