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according added addition algebraic already apply arranged binomial called changed coefficient contains continued decimal Deduce a Rule denominator difference discussion divided dividend entire equal factors equation equivalent evidently exact exactly divisible EXAMPLES exponent expression extract figures foregoing formula fraction fractional exponents given quantity giving greater Hence higher power highest common divisor ILLUSTRATION imaginary indicated integral leading letter less letter lowest common multiple means minus monomial mth power Multiply negative nth root obtain once operation original perfect performed period polynomial positive preceding problem Proposition quan quotient radical sign raised rational reasoning reduce remainder required power required root result separated similar simplest form square square root substituting subtract succession symbol taken term third tion tities transformed true twice units unknown quantities whence writing written zero
Σελίδα 40 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Σελίδα 52 - ... for 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...
Σελίδα 433 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 45 - RULE. — I. Divide the coefficient of the dividend by the coefficient of the divisor, for the coefficient of the quotient.
Σελίδα 144 - Divide the first term of the remainder by three times the square of the root already found, and write the quotient for the next term of the root.
Σελίδα 163 - The last two figures of the root are found by division. The rule in such cases is, that two less than the number of figures already obtained may be found without error by division, the divisor to be employed being three times the square of the part of the root already found.
Σελίδα 382 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 138 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.