## Elements of Algebra |

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added addition algebraic arithmetical becomes binomial called cents changed CHAPTER coefficient common factor complete constant contain cost cube decimal denominator denote Determine difference digits divided division divisor dollars double equal equation EXERCISE exponent expression Extract feet figures Find Find the number four fourth fraction given gives greater half Hence hour increased integral length less letters logarithm means method miles minutes Multiply negative NOTE obtained operation places polynomial positive pounds problem quadratic quantities quotient ratio Reduce remainder represent Resolve respectively result side simple Simplify solution Solve square root Substitute Subtract surd symbol taken term third twice units unknown numbers varies weighed Write written yards

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Page 198 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.

Page 49 - 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 265 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 284 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -

Page 28 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.

Page 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.

Page 307 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? 24.

Page 217 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Page 278 - The first term of a ratio is called the antecedent, and the second term the consequent.

Page 143 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.