 any quantity may be transferred from " one side of the equation to the other, by changing its sign ;" and it is founded upon the axiom, that "if equals be added to " or subtracted from equals, the sums от remainders will be  An Elementary Treatise on Algebra - Side 60av Bewick Bridge - 1818 - 227 siderUten tilgangsbegrensning - Om denne boken
 | Samuel Webber - 1808 - 466 sider
...and all the rest, or the known quantities, on the other side. RULE 1.* Any quantity may be transposed from one side of the equation to the other, by changing its sign. * These are founded on the general principle of performing equal operations on equal quantities, \vhen... | |
 | Nicolas Pike - 1808 - 470 sider
...the unknown quantity, which is shewn in the following rules. RULE 1. Any quantity may be transposed from one side of the equation to the other, by changing its sign. Thus, if H-3=7, then will r=7— 3=4. And, if r— 4+6=8, then will r=8+4 — 6=6. Also, if r — a+£=*r... | |
 | John Bonnycastle - 1811 - 230 sider
...the unknown quantity, which is shown in the following rules. RULE I. Any quantity may be transposed from one side of the equation to the other by changing its sign. Thus, ifx-\-3=7, then will x = 7 — 3 = 4. And, if x — 4 + 6 = 8, then will * = 8 + 4 — 6 = 6.... | |
 | Bewick Bridge - 1821 - 284 sider
...rules absolutely necessary for the solution of simple equations containing only one unknown quantity may be reduced to four, and may be arranged in the...equation to the other, by changing its sign ;" and and it is founded upon the axiom, that " if equals be added to " or subtracted from equals, the sums... | |
 | Charles Tayler - 1824 - 350 sider
...them to the form of x—b — a, containing on one side x alone; viz. that Any quantity may be removed from one side of the equation to the other, by changing its sign. This rule is founded upon the known axiom, that if equnls be subtracted from equals, the remainders... | |
 | Bewick Bridge - 1828 - 260 sider
...Rules absolutely necessary for the solution of simple equations containing only one unknown quantity may be reduced to four, and may be arranged in the...be added to " or subtracted from equals, the sums от remainders will be " equal." Ex. 1. Let x + 8 = 15 ; subtract 8 from each side of the equation,... | |
 | George Lees - 1826 - 276 sider
...2rf, - x — 7 = 9, - - - - *= 9 + 7. 3d, - 3* — 6 = 2.r+2, - - Sx— 2*= 2 + 6. Hence it follows, that any quantity may be transferred from one side...of the equation to the other by changing its sign. In the first of the above examples, it is manifest that x = 7 ; in the second x = 16 ; and, in the... | |
 | Alexander Ingram - 1830 - 458 sider
...divisor. In this way the equation may be cleared of fractions. RULE 2. — Any term may be transposed from one side of the equation to the other, by changing its sign from + to — , or from — to -(-. In this way the terms containing the unknown quantity may be brought... | |
 | Bewick Bridge - 1839 - 280 sider
...Rules absolutely necessary for the solution of simple equations containing only one unknown quantity may be reduced to four, and may be arranged in the...changing its sign ;" and it is founded upon the axiom, " if equals be added to or subtracted from equals, the sums or remainders will be equal." Ex. 1. Let... | |
 | Alexander Ingram - 1844 - 262 sider
...the divisor. In this way the equation may be cleared of fractions. RULE 2. Any term may be transposed from one side of the equation to the other, by changing its sign from + to — , or from — to+. In this way the terms containing the unknown quantity may be brought... | |
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