 | William Nicholson - Natural history - 1809 - 716 pages
...equation first be cleared of fractions, then transpose all the terms which involve the unknown quantity to one side of the equation, and the known quantities to the other ; divide both sides by the co-efflcient, or sum of. the co-efficients, of the unknown quantity, and... | |
 | James Wood - Algebra - 1815 - 338 pages
...equation first be cleared of fractions, then transpose all the, terms which involve the unknown quantity to one side of the equation, and the known quantities to the other ; divide both sides by the coefficient, or sum of the coefficients, of the unknown quantity, and the... | |
 | William Nicholson - Arts - 1819 - 432 pages
...equation first be cleared of fee tions, then transpose all the terms which involve the unknown quantity to one side of the equation, and the known quantities to the other; divide both sides by the coefficient, or sum of the co-efficients, ot the unknown quantity, and the... | |
 | John Darby (teacher of mathematics.) - 1829 - 212 pages
...the first term, x+y is square of the second term, \/x+y. RULE. 1. Transpose the unknown quantities to one side of the equation, and the known quantities to the other, observing to begin with the highest power of the unknown quantity. Tlien, if the first term contain... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...quadratic equations may be summed up in the following GENERAL RULE. 1. Transpose all the unknown quantities to one side of the equation ; and the known quantities to the other. II. Make the square of the unknown quantity positive (if it is not already) by changing the signs of... | |
 | Admiralty - 1845 - 152 pages
...proposed equation from fractions, if it has any. Transpose the terms which contain the unknown quantity to one side of the equation, and the known quantities to the other. Divide both sides of the equation by the coefficient, or sum of the coefficients, of the unknown quantities... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...quadratic equations may be summed up in the following GENERAL RULE. I. Transpose all the unknown quantities to one side of the equation ; and the known quantities to the other. II. Make the square of the unknown quantity positive (if it is not already) by changing the signs of... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...fractions aud surds, if it contain them ; then transpose all the terms which contain the unknown quantity to one side of the equation, and the known quantities to the other, and divide both sides by the coefficient of the unknown quantity ; then will the unknown quantity stand... | |
 | G. Ainsworth - 1854 - 216 pages
...1. Reduce the equation to its simplest form. 2. Transpose the terms involving the unknown quantities to one side of the equation, and the known quantities to the other. 3. To reduce the equation to the form a?.\-px — 2 = 0, divide every term of the equation by the coefficient... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...root. For any equation of the first degree will take the form ax = b if the unknown quantity is brought to one side of the equation, and the known quantities to the other. Suppose then, if possible, that this equation has two different roots a and ß ; then by supposition,... | |
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By transposing we mean bringing the unknown quantities (a;, y, z, etc.) to one side of the equation, and the known quantities to the other. NOTE. — In bringing a quantity from one side of the equation to the other, the sign of the quantity is changed. 
