Elements of algebra1870 |
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Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 1
... denotes that the quan- tities on each side of it are to be added together ; thus , a + b . The symbol minus , denotes that the quantity to the right is to be subtracted from that on the left of it ; thus , a- -b . These two signs always ...
... denotes that the quan- tities on each side of it are to be added together ; thus , a + b . The symbol minus , denotes that the quantity to the right is to be subtracted from that on the left of it ; thus , a- -b . These two signs always ...
Σελίδα 2
... denotes that a is taken six times . In the expression 6ax , the number 6 may be called the coeffi- cient of ax , or the quantity 6a may be regarded as the coefficient of x . A coefficient is , therefore , a quantity placed before ...
... denotes that a is taken six times . In the expression 6ax , the number 6 may be called the coeffi- cient of ax , or the quantity 6a may be regarded as the coefficient of x . A coefficient is , therefore , a quantity placed before ...
Σελίδα 3
... denotes that the trinomial within the one parenthesis is to be multiplied by the trinomial within the other . The vinculum is placed under the polynomial , when the polynomial is the numerator of a fraction . Thus , denotes that the ...
... denotes that the trinomial within the one parenthesis is to be multiplied by the trinomial within the other . The vinculum is placed under the polynomial , when the polynomial is the numerator of a fraction . Thus , denotes that the ...
Σελίδα 24
... denotes that the whole fraction is to be sub'racted . Now , when the numerator is a polynomial , the bar which separates it from the denominator is to be regarded as a vinculum or parenthesis ; hence , when this vinculum is taken away ...
... denotes that the whole fraction is to be sub'racted . Now , when the numerator is a polynomial , the bar which separates it from the denominator is to be regarded as a vinculum or parenthesis ; hence , when this vinculum is taken away ...
Σελίδα 56
... denotes the presence of a common factor , which being cancelled , the true value may be obtained . Suppose , for instance , that x = a2 - b2 When ba , the value of x becomes a- b but a2 — b2 = ( a + b ) ( a — b ) ; therefore x = - when ...
... denotes the presence of a common factor , which being cancelled , the true value may be obtained . Suppose , for instance , that x = a2 - b2 When ba , the value of x becomes a- b but a2 — b2 = ( a + b ) ( a — b ) ; therefore x = - when ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
algebraic algebraic quantities binomial clearing the equation Cloth coefficient complete equation completing the square continued fraction cube root Decompose denotes dividend divisor equal equation of fractions EXAMPLES exponent expression Extract the square factors Find the numerical Find the sum find the values Find two numbers following rule fourth powers given equation given number greater greatest common measure Hence inequality last term least common multiple less lettered logarithm mixed quantity monomial multiplicand Multiply negative nth root number of permutations number of terms numerical value obtain original equation perfect square polynomial positive preceding quotient radical sign real roots remainder Required the square Required the sum second degree second member second term shillings simplest form square root substitution subtract third Transform transposing travelled unknown quantity values of x whence whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 59 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 12 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Σελίδα 12 - 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 59 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 43 - A footman agreed to serve his master for £8 a year and a livery, but was turned away at the end of 7 months, and received only £2 13s.
Σελίδα 89 - ... that the intensity of light varies inversely as the square of the distance.
Σελίδα 54 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Σελίδα 88 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 42 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.