Watson's easy and comprehensive introduction to algebra |
Συχνά εμφανιζόμενοι όροι και φράσεις
4th power added arithmetical progression arithmetical series assume biquadrate BIQUADRATIC EQUATIONS co-efficient common difference completing the square cube root cubic equation digits Divide divisor equal evolution Find the square Find the sum find the value Find three numbers Find two numbers find x formula geometrical progression Given x Given x² hypotenuse last term least value m² n² minus Multiply number of terms numbers in arithmetical quadratic quotient required number required square required the number Required the square right-angled triangle root of x6 RULE second term sides square number square root substituted subtraction taken any number taken at pleasure transposing unknown letter unknown quantity Whence x² y² x² y³ x³ y² x³ y³ yards
Δημοφιλή αποσπάσματα
Σελίδα 20 - ... or minus multiplied by minus, gives plus. Plus multiplied by minus, or minus multiplied by plus, gives minus.
Σελίδα 122 - A vintner sold 7 dozen of sherry and 12 dozen of claret for 50/., and finds that he has sold 3 dozen more of sherry for 10/. than he has of claret for 6/. Required the price of each.
Σελίδα 105 - Two persons, A and B, can perform a piece of work in 16 days. They work together for 4 days, when A being called off, B is left to finish it, which he does in 36 days more. In what time would each do it separately ? Ans. A in 24 and B in 48 days.
Σελίδα 61 - In every proportion the product of the extremes is equal to the product of the means. Thus, in the proportion 3 : 5 : : 6 : 10 we have 3 X 10 = 5 X 6.
Σελίδα 93 - ... then, by adding, or subtracting, the two equations thus obtained, as the case may require, there will arise a new equation, with only one unknown quantity in it, which may be resolved as before.
Σελίδα 69 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
Σελίδα 137 - But, if we add the square of half the coefficient of the second term to the first member to make it a complete square, we must add it to the second member to preserve the equality of the members. Having extracted the square root of each member, these roots are equal, since like roots of equals are equal. Now, since the first...
Σελίδα 42 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Σελίδα 95 - Find the. value of one of the unknown quantities in each of the equations, and form a new equation by making one of these values equal to the other.
Σελίδα 103 - T sec. 2. A certain number, consisting of two places of figures, is equal to the difference of the squares of its digits, and if 36 be added to it, the digits will be inverted ; what is the number? Ans. 48.