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added affected quadratic equation algebraic apples arithmetical means arithmetical progression binomial cents Clear of fractions coefficient Completing the square compound interest contains cube root denote dividend division Extracting the square factor will rationalize Find the cube Find the factors Find the greatest Find the least Find the number Find the square Find the sum Find the value find x frac geometrical progression given number greatest common divisor Hence imaginary quantities integer last term least common multiple lowest terms mixed quantity Monomial number expressed number of dollars number of terms number whose logarithm obtain parenthesis polynomial prime factors Principles.—1 PROBLEMS proportion quan quotient radical sign ratio remainder Resolve result rule for solving SECTION similar fractions SIMPLE EQUATIONS simplest form sold Solution square root subtracted surd Theorem third power tions tity unknown quantity whence whole number yards
Σελίδα 50 - 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.
Σελίδα 64 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 261 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Σελίδα 244 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 194 - Art. 338, that in a proportion, either extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean.
Σελίδα 218 - 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 be increased...
Σελίδα 64 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 43 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.