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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. "
A Treatise on Algebra: For the Use of Schools and Colleges - Page 50
by Stephen Chase - 1849 - 336 pages
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First Course in Algebra, Book 1

Walter Burton Ford, Charles Ammerman - Algebra - 1919 - 370 pages
...Ans. From what we have just seen we may state the following general principle. PRINCIPLE. Any term may be transposed from one side of an equation to the other, provided its sign is changed. HISTORICAL NOTE. Our word algebra comes from the Arabic word al-gebr,...
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Bulletin, Volumes 10-20

University of Illinois (Urbana-Champaign campus). Bureau of Educational Research - Education - 1922 - 508 pages
...feet more than twice the width, the perimeter = 56 feet. The length = feet. 8—12—16 19. Any term may be transposed from one side of an equation to the other, provided its is changed. sign — value 20. Any equation which contains no higher power of the unknown...
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Algebra

William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...application of Principles 1 and 2 is transposition, which has already been mentioned on p. 18. A term may be transposed from one side of an equation to the other side if its sign is changed. Thus, in solving the equation 8 x .- 6 = 5 x + 12, we find, by transposition,...
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Computer Basics: Analog computer fundamentals

United States. Navy. Bureau of Naval Personnel - Mathematical computers - 1964 - 280 pages
...without destroying the equality. 8. The whole of anything is equal to the sum of all its parts. 9. A term may be transposed from one side of an equation to the other, provided its sign is changed. 10. If the same term preceded by the same sign occurs in both sides of...
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A Boole Anthology: Recent and Classical Studies in the Logic of George Boole

James Gasser - History - 2000 - 374 pages
...Logical System under consideration is, that, in the latter as well as in the former, a literal symbol may be transposed from one side of an equation to the other by changing the sign of operation, + or -. But there is an important relation which subsists in the...
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Essentials of Power Engineering: Plant & Safety Theory "A1"

Industrial equipment - 2003 - 440 pages
...can be said to be opposites just as (+) and (-) are opposites. The same rule holds here that any term may be transposed from one side of an equation to the other by changing its sign. C + TT = D To state the principle in another way, when C = 77 XD was changed...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 260 pages
...-\-b and — dx to the opposite members of the equation, and, at the same time, changed their signs. Hence, Any quantity may be transposed from one side...of an equation to the other, if, at the same time, its sign be changed. TO CLEAR AN EQDATION OF FRACTIONS. ART. 154. — 1. Let it be required to clear...
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Elements of Algebra: For Colleges, Schools, and Private Students

Joseph Ray - Algebra - 1875 - 424 pages
...removing a term from the second member of the equation to the first. Hence, Eule of Transposition. — Any quantity may be transposed from one side of an equation to the other, if, at the same lime, its sign be changed. 151. To Clear an Equation of Fractions. — 1. Let it be required to clear...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...+6 and — dx to the opposite members of the equation, and, at the same time, changed their signs. Hence, Any quantity may be transposed from, one side of an equation to the other, if, at ike same time, its siyn be changed. TO CLEAR AN EQUATION OF FRACTIONS. ART. 154. — 1. Let it be required...
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