Elements of AlgebraGinn, Heath & Company, 1883 |
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A's chance ab² ab³ algebraic arithmetical arithmetical series arranged binomial black balls cent chance of drawing coefficient common factor Complete the square complex number contains convergent cube root decimal denominator denote digits divided divisible divisor equal equation EXERCISE exponent expression Find the number Find the sum fraction given greater harmonical series Hence highest common factor hour increased integral less letters limit logarithm mantissa miles monomial Multiply negative number number of terms obtained order of differences polynomial positive quadratic quadratic equation quotient ratio remainder represent result second term selected Simplify Solve square root substituted Subtract surd third units unknown quantity vowels white ball whole number x²y² zero
Popular passages
Page 392 - Any two sides of a triangle are together greater than the third side.
Page 58 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Page 152 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 196 - 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 47 - 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 285 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 263 - III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 166 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 168 - When commodities are mixed, it is to be observed that the quantity of the mixture = the quantity of the ingredients; the cost of the mixture = the cost of the ingredients. Ex. A wine-merchant has two kinds of wine, which cost 72 cents and 40 cents a quart respectively. How much of each must he take to make a mixture of 50 quarts worth 60 cents a quart? Let x = required number of quarts worth 72 cents a quart, and y = required number of quarts worth 40 cents a quart. Then, 72...
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.