University Algebra: Embracing a Logical Development of the Science, with Numerous Graded Examples
A.S. Barnes and Company, 1870
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added algebraic assumed becomes binomial called changed Clearing coefficient Combining common consequently containing corresponding cube root denominator derivative difference distance dividing divisible dollars entire equal equation equation whose roots EXAMPLES exponent expressions extracting factors figures Find Find the cube Find the square formula fourth fraction give given greater greatest Hence imaginary increased indicated known less letter lights logarithm manner means method miles multiplying negative operation perform period polynomial positive preceding principle problem progression proportion quotient radical reduced remainder result rule School second degree second member second term shown shows similar solution solved square root Substituting subtract suppose taken tens term third Transform travels true twice units unknown quantity Whence write
Page 36 - Divide the first term of the remainder by the first term of the divisor, for the second term of the quotient. Multiply the divisor by this term, and subtract the product from the first remainder, and so on : IV.
Page 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 36 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 236 - In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.
Page 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 230 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Page 230 - In any proportion, the product of the means is equal to the product of the extremes.
Page 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.