Algebra for the Use of High Schools, Academies and CollegesBancroft Company, 1889 - 481 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
Algebra for the Use of High Schools, Academies and Colleges John Bernard Clarke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Algebra for the Use of High Schools, Academies and Colleges John Bernard Clarke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added binomial formula coefficient common factor considerations we deduce contains a higher continued fraction convergent cube root decimal places Deduce a Rule deduce the following difference Divide divisible by x+y employed may represent equal factors equation exactly divisible EXAMPLES Find the highest foregoing considerations frac fractional exponents fractional unit given fraction given number given polynomial given quantity Hence higher power highest common divisor imaginary indicated integral fractions Involution leading letter lowest common multiple minuend minus monomial mth power multiplicand nth root number of decimal number of terms obtain operation perfect power positive Proposition quan quotient radical sign reduce represent any quantities required power required root result Scholium second degree second remainder second term similar simplest form square root substituting subtract subtrahend tained taken Theorem.-The third tion tities transform trinomial unknown quantity whence zero
Δημοφιλή αποσπάσματα
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 40 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and 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 435 - 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 146 - 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 165 - 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 384 - 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 140 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.
Σελίδα 385 - Quantities are in proportion by composition, when the sum of antecedent and consequent is compared with either antecedent or consequent. 8. Quantities are in proportion by division, when the dif.