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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. "
An Elementary Treatise on Algebra, Theoretical and Practical ... - Σελίδα 96
των James Ryan, Robert Adrain - 1835 - 361 σελίδες
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 2

Isaac Dalby - 1806
...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 to the other,...

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

John Bonnycastle - 1818 - 260 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 a=7— 3, or ar=4....

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

Miles Bland - 1821 - 438 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. Also, if x + b = a,...

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

James Ryan, Robert Adrain - 1824 - 516 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...quantities, the sums or remainders will be equal. Thus, if £+5 = 12 ; by subtracting 5 from each side, we shall have xt-5— 5 = 12— 5; but 5—5=0, and 12...

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

Miles Bland - 1824 - 383 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...in this transposition, the same quantity is merely subtracted from each side of the equation ; and (12) if equals be taken from equals, the remainders...

Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824
...that if equnls be subtracted from equals, the remainders will be equal. For, to transpose a quantity from one side of an equation to the other, by changing its sign, is nothing more than to subtract the same quantity from each side of it. Thus, in the example, by transposing...

A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 551 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 - 312 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 *=7 — 3, or z=4....

A Synopsis of the Principal Formulae and Results of Pure Mathematics

Charles Brooke - 1829 - 358 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...

Library of Useful Knowledge: Mathematics I.

1836
...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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