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" Any term may be transposed from one member of an equation to the other by changing its sign (1, 2). "
New University Algebra: A Theoretical and Practical Treatise, Containing ... - Page 86
by Horatio Nelson Robinson - 1863 - 420 pages
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...40, the second part. From the preceding examples and observations we derive the following principle : Any term may be transposed from one member of an equation to the other, if the sign be changed. 14. A pole is 4 feet in the ground,^ of its whole length under water, and £...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...preceding principles, gives the following practical rules for the resolution of equations. RULE I. (30.) Any term may be transposed. from one member of an equation to the other, by -changing its sign. Take the equation 5x — 8 = 16 + x. Adding 8 to each member, the equation becomes 5x — 8 + 8=16...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...following practical rules for the resolution of equations. RULE I. t (30.) Any term may be'lransposcd from one member of an equation to the other, by changing its sign. Take the equation 5x — 8 = 16 +_*. Adding 8 to each member, tht equation becomes and since, in the...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...z-« from fractions and negative exponents. . .4ns. x4aa21 — a31 = a4*z2a — x9". 87. Theorem. A term may be transposed from one member of an equation to the other member, by merely reversing its sign ; that is, it maybe suppressed in one member and annexed to the...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...— xn from fractions and negative exponents. Ans. a4" a2* — a2* = a4xa;2a — x2a. 87. Theorem. A term may be transposed from one member of an equation to the other member, by merely reversing its sign ; that is, it may be suppressed in one member and annexed to the...
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Gradations in Algebra in which the First Principles of Analysis are ...

Richard W. Green - Algebra - 1839 - 156 pages
...necessary to transpose known quantities from the member which contains the unknown quantity. §55. Any term may be transposed from one member of an equation to the other, care being taken to change the sign when we change the side. EQUATIONS. SECTION 4. 1. Reduce the equation...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1842 - 326 pages
...together with that established in Art. 7, gives the following general RULE FOR TRANSPOSITION. Art. O. Any term may be transposed from one member of an equation to the other, care being taken to change its sign from — to +, or from + to — . It may be remarked, that the...
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An elementary treatise on algebra. [With] Key

James Thomson - 1844 - 328 pages
...be obtained by removing that term to the other member and changing its sign. Hence, 25. A quantity may be transposed from one member of an equation to the other, by changing its sign. It is plain, also, that any number of terms may be transposed in a similar way at a single operation....
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...opposite side with a contrary sign. From this we may draw the following principle or rule of operation : Any term may be transposed from one member of an equation to the other, by changing its sign. Now 20x=80. ax=e. If we divide both members by the coefficient of the unknown term, the quotients will...
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An Elementary Treatise on Algebra: In which the Principles of the Science ...

Samuel Alsop - Algebra - 1846 - 300 pages
...important remarks to be made on the processes employed in the preceding solutions. 1st. Лпу quantity may be transposed from one member of an equation to the other, if we change its sign. This is exemplified in the equation marked (A) in the first example ; 10 having...
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