Elements of Algebra |
Contents
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Common terms and phrases
a²b a²b² a²x a²x² a³b ab² ab³ arithmetic number arithmetic value ax² binomial coefficients commensurable number commutative law complex number cube root denotes digits divided dividend divisor equivalent to system examples illustrate Exercise exponent factors Find the H. C. F. Find the number Find the value following expressions fractional number Hence imaginary number imaginary unit improper fractions irrational equation linear equations literal expression locus logarithm mantissa metic miles an hour monomial Multiply negative number nth power nth root number of dollars numerator and denominator obtain polynomial Proof quadratic equation quality-unit quotient radicand ratio real number Reduce remainder second term solution of system Solve the system square root Substituting subtracted surd Transpose unknown whole numbers x²y x²y² x³y xy² xy³ zero
Popular passages
Page 375 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...
Page 294 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.
Page 102 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.
Page 410 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 75 - 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 divisor by this first term of the quotient, and subtract the resulting product from the dividend. Divide the first term of the remainder by the first term of the divisor, and icrite the result as the second term of the quotient.
Page 229 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards; but if the circumference of each wheel...
Page 336 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Page 225 - A man walks 35 miles partly at the rate of 4 miles an hour, and partly at 5; if he had walked at 5 miles an hour when he walked at 4, and vice versa, he would have covered 2 miles more in the same time : find the time he was walking.
Page 333 - 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 330 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.