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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. "
Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ... - Σελίδα 83
των Joseph Ray - 1852 - 396 σελίδες
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 2

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...

An Introduction to Algebra: With Notes and Observations : Designed for the ...

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...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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....

Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

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...

An Elementary Treatise on Algebra: Theoretical and Practical

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...

A treatise on navigation, and nautical astronomy

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 =...

An Introduction to Algebra: With Notes and Observations, Designed for the ...

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...

A Synopsis of the Principal Formulae and Results of Pure Mathematics

Charles Brooke - 1829 - 386 σελίδες
...solution of 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...

An Elementary Treatise on Algebra, Theoretical and Practical ...

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...

Library of Useful Knowledge: Mathematics I.

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...




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