 | Isaac Dalby - 1806 - 526 σελίδες
...side of the equation we have x — 7 + 7 = 22 4- 7 {Ax. I.) or x = 29 the value required. Therefore, any quantity may be transposed from one side of an equation to the other, by changing its sign. For *— 7=22: And * =s 22 + 7, where 7 is transposed front one side of the equation... | |
 | John Bonnycastle - 1818 - 284 σελίδες
...arising out of the several examples annexed to the :;ix different cases given in the text. 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 stilt be equal. Thus, if z+3=7 ; then will... | |
 | Miles Bland - 1821 - 898 σελίδες
...(16.) If a quantity be both multiplied and divided by another, its value will not be altered. (17.) Any quantity may be transposed from one side of an equation to the other, by changing its sign : Thus, if x + 9 = 15, and 9 be subtracted from each side, x = 15 — 9, or 6.... | |
 | Miles Bland - 1824 - 404 σελίδες
...(16.) If a quantity be both multiplied and divided by another, its value will not be altered. (17.) Any quantity may be transposed from one side of an equation to the other, by changing its sign : Because, in this transposition, the same quantity is merely subtracted from... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...and the other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. 186. Any quantity may be transposed from one side of an equation to the other, by changing its sign. Because, in this transposition, the same quantity is merely added to or subtracted... | |
 | Edward Riddle - 1824 - 572 σελίδες
...c, then a = с — b ; and if a = с — b, then с = b + a. Whence a term, or any number of terms, may be transposed from one side of an equation to the other, without destroying the equality, by changing the sign of each term so transposed. Again, if 9 + 4 =... | |
 | John Bonnycastle - 1825 - 336 σελίδες
...axioms and processes are required, the most useful and necessary of which are the following :* 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 'till be equal. Thus, if #+3=7 ; then will... | |
 | James Ryan, Robert Adrain - 1835 - 388 σελίδες
...and the other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. I 161. Any quantity may be transposed from one side of an equation to the other, by changing its sign. Because, in this transposition, the same quantity is merely added to or subtracted... | |
 | 1836 - 352 σελίδες
...Of Simple Equations, p. 27Art. 108. Equation — members of an equation— simple equations. 109. A quantity may be transposed from one side of an equation to the other, provided its sign be changed. 110. How to clear an equation of fractious. 111. General rule for the... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 σελίδες
...these axioms, the following ruleг for the process of solution may be derived : — (239.) L 1 Any term may be transposed from one side of an equation to the other, by changing its sign.1 EXAMPLES. Transpose the known quantities to the second member, and the unknown... | |
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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. 
