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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. "
The Constructive arithmetic - Pàgina 160
per James A. Christie - 1865
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Elements of Algebra: To which is Prefixed, a Choice Collection of ...

John Mole - 1788 - 346 pàgines
...Conclufions as anlwer the Conditions of Problems. • ' CASE I. Any Quantity may be tranfpofed or moved from one Side of an Equation to the other, if its Sign be changed j this is nothing more in Effe& than to add the fajne Qaantity tity with a contrary Sign on...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volum 2

Isaac Dalby - 1806 - 526 pàgines
...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...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 pàgines
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 pàgines
...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....
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1824 - 404 pàgines
...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...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 pàgines
...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...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 pàgines
...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 =...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 336 pàgines
...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...
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A Synopsis of the Principal Formulae and Results of Pure Mathematics

Charles Brooke - 1829 - 386 pàgines
...equations. The same quantity may be added to, or subtracted from, both sides of an equation. Any quantity may be transposed from one side of an equation to the other, its sign being changed. The signs of all the terms may be changed. Every term may be multiplied, or...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - 1835 - 388 pàgines
...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...
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