The elements of algebraOliver & Boyd, 1857 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 4
... difference between 2 and 2x ; x3 and 3x ; x4 and 4 x ; x + a3 and ( x + a ) 3 ; 4x + a and 4 ( x + a ) ; x2 + a2 and ... difference of the sums , to which prefix the sign of the greater , and annex the common letter or letters . 16. If ...
... difference between 2 and 2x ; x3 and 3x ; x4 and 4 x ; x + a3 and ( x + a ) 3 ; 4x + a and 4 ( x + a ) ; x2 + a2 and ... difference of the sums , to which prefix the sign of the greater , and annex the common letter or letters . 16. If ...
Σελίδα 14
... difference of two numbers ; then , first , add the two expressions ; second , sub- tract the less from the greater ; and , third , multiply the one : by the other what are the three results expressed 14 DIVISION BY DETACHED COEFFICIENTS .
... difference of two numbers ; then , first , add the two expressions ; second , sub- tract the less from the greater ; and , third , multiply the one : by the other what are the three results expressed 14 DIVISION BY DETACHED COEFFICIENTS .
Σελίδα 15
... difference of the squares . 2. The sum of two numbers is 20 , and their difference 12 ; find the numbers . Ans . 16 and 4 . 3. Half the sum of two numbers is 15 , and half their dif- ference 8 ; find the numbers . Ans . 23 and 7 , 4. If ...
... difference of the squares . 2. The sum of two numbers is 20 , and their difference 12 ; find the numbers . Ans . 16 and 4 . 3. Half the sum of two numbers is 15 , and half their dif- ference 8 ; find the numbers . Ans . 23 and 7 , 4. If ...
Σελίδα 16
... measure two others , it will measure their sum or difference . In order to simplify the operation , either of the original quantities , or any of the remainders , must be divided by any simple quantity common to all the terms ; and , 16 ...
... measure two others , it will measure their sum or difference . In order to simplify the operation , either of the original quantities , or any of the remainders , must be divided by any simple quantity common to all the terms ; and , 16 ...
Σελίδα 22
... difference in one number of one denomination ; it is evidently necessary first to reduce each of the given quantities to that denomination , after which , the work is accomplished by Simple Addition or Subtraction . In like manner ...
... difference in one number of one denomination ; it is evidently necessary first to reduce each of the given quantities to that denomination , after which , the work is accomplished by Simple Addition or Subtraction . In like manner ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c a²+2ab+b² annex arithmetical series ax² binomial binomial theorem coefficient common denominator common difference common ratio compound quantity consecutive numbers cube root deno denote the number Divide divisor double equal equation contains EXERCISES expressed Extract the square factor Find a number find the Greatest Find the number Find the sum following fractions following quantities geometric means given quantity Greatest Common Measure Hence Least Common Multiple letters miles per hour mixed quantities multiplied negative number of balls number of combinations number of permutations number of terms numbers whose sum numerator and denominator Prove QUADRATIC EQUATIONS quotient remainder shillings side sign changed simple quantity square root subtracting surd t₁ things taken third total number transposing travelled unknown quantity ах
Δημοφιλή αποσπάσματα
Σελίδα 61 - 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 88 - The fore-wheel of a carriage makes six revolutions more than the hind-wheel in going 120 yards ; but if the circumference of each wheel be increased one yard, it will make only four revolutions more than the hind-wheel in going the same distance.
Σελίδα 60 - Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10.
Σελίδα 16 - If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered.
Σελίδα 44 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Σελίδα 9 - A power of a quantity is divided by any other power of the same quantity by subtracting the index of the divisor from that of the dividend, the quotient being that power of the quantity whose index is the remainder so obtained.
Σελίδα 66 - From the preceding, it appears, that the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Σελίδα 41 - ... be divided by the number of terms to that place, it will give the coefficient of the term next following.
Σελίδα 44 - Take the root of the first term, for the first term of the required root...
Σελίδα 40 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...