## Manual of Algebra |

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added algebraic Arithmetic assumed becomes binomial called changed clearing coefficients complete consequently contain continued corresponding cube root Davies Definitions denominator denote derivative difference distance Divide divisible entire equal equation EXAMPLES exponent expression extracting factors Find Find the square following rule formula fourth fraction geometrical given gives greater greatest common divisor hence increased indicated least common multiple less letter logarithm manner Mathematics means method miles monomial multiplying negative operation perform polynomial positive practical preceding principle problem progression proportion quotient radical ratio Reduce remainder result rule second member second term shown similar solution solved square root substituting subtract suppose taken tens term third tion Transform travels true unit unknown quantity whole write written

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Page 145 - 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 239 - 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 267 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 245 - 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 42 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...

Page 239 - In any proportion, the product of the means is equal to the product of the extremes.

Page 245 - That is, any term is equal to the first term, plus the product of the common difference by the number of preceding terms.

Page 41 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 264 - 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.