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" First, if necessary, clear of fractions ; then transpose all the terms containing the unknown quantity to one side of the equation, and the known quantities to the other. "
The first principles of algebra, for the use of the boys of the Royal ... - Page 62
by Admiralty - 1845
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...the yalue of x, hi each of these Aquations, is as follows ; j. Transpose all the terms, that involve the unknown quantity, to one side of the equation, and the known terms to the other $ide, and let them be ranged according to their dirnensiops. 2. When * The square...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...value of r, in each of these equations, is as follows : RULE* 1. Transpose all the terms, which involve the unknown quantity, to one side of the equation, and the known terms to the «ther side, and let them be ranged according to their dimensions. 2. When • The fquare...
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 1809 - 716 pages
...s"n!>te ^uat'mLet the equation first be cleared of fractions, then transpose all the terms which involve the unknown quantity to one side of the equation,...known quantities to the other ; divide both sides by the co-efflcient, or sum of. the co-efficients, of the unknown quantity, and the value required...
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The Modern Preceptor ; Or, a General Course of Education, Volume 1

John Dougall - 1810 - 734 pages
...quadratic equations : viz, 1st. when the terms involving the unknown quantity are all transposed to the one side of the equation, and the known quantities to the other, and the term involving the square of the unknown quantity is positive ; then if this square be multiplied...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...of x, in each of these equations, is as follows : HULE*. 1 . Transpose all the terms which involve the unknown quantity to one side of the equation, and the known terms to the other, and let them be ranged according to their dimensions. * The square root of any...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...proposed equation to a proper simple form, as usual, such as the forms above ; namely, by transposing all the terms which contain the unknown quantity to one side of the equation, and the known terms to the other ; placing the square term first, and the single power second ; dividing the equation...
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...mentioned, may be resolved by means of the following rule : , RUÍE. Transpose all the terms that involve the .unknown quantity to one side of the equation, and the known terms to the other ; observing to arrange them so, that the term which contains the square'of the,...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - Algebra - 1815 - 338 pages
...equation. Let the equation first be cleared of fractions, then transpose all the, terms which involve the unknown quantity to one side of the equation,...known quantities to the other ; divide both sides by the coefficient, or sum of the coefficients, of the unknown quantity, and the value required is...
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The Young Man's Best Companion and Guide to Useful Knowledge

John Dougall - Encyclopedias and dictionaries - 1815 - 514 pages
...known quantity and their conjunct value is also known, the unknown quantity may be transposed to the one side of the equation, and the known quantities to the other, as in this example, where the value of A- is required, at the same time that if 8 be taken from x,...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...mentioned, may be resolved by means of the following rule : RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other ; observing to arrange them so, that the term which contains the square of the unknown...
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