Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 5
... given , and by combining the terms the numerical value of the whole expres- sion is obtained . 13. We have already , in Art . 8 , drawn attention to the importance of carefully distinguishing between coefficient and index ; confusion ...
... given , and by combining the terms the numerical value of the whole expres- sion is obtained . 13. We have already , in Art . 8 , drawn attention to the importance of carefully distinguishing between coefficient and index ; confusion ...
Σελίδα 8
... given point were to walk along a straight road 100 yards forwards and then 70 yards backwards , his distance from the starting - point would be 30 yards . But if he first walks 70 yards forwards and then 100 yards backwards his distance ...
... given point were to walk along a straight road 100 yards forwards and then 70 yards backwards , his distance from the starting - point would be 30 yards . But if he first walks 70 yards forwards and then 100 yards backwards his distance ...
Σελίδα 24
... given to multiplication by a negative quantity . To multiply 3 by 4 we must do to 3 what is done to unity to obtain - 4. Now 4 means that unity is taken 4 times and the result made negative ; therefore 3 × ( -4 ) implies that 3 is to be ...
... given to multiplication by a negative quantity . To multiply 3 by 4 we must do to 3 what is done to unity to obtain - 4. Now 4 means that unity is taken 4 times and the result made negative ; therefore 3 × ( -4 ) implies that 3 is to be ...
Σελίδα 38
... given in Arts . 24 and 25 . When an expression within brackets is preceded by the sign ‡ , the brackets can be removed without making any change in the expression . - When an expression within brackets is preceded by the sign the ...
... given in Arts . 24 and 25 . When an expression within brackets is preceded by the sign ‡ , the brackets can be removed without making any change in the expression . - When an expression within brackets is preceded by the sign the ...
Σελίδα 40
... given on page 12 , and may be easily deduced from them . For the following equivalents have been established in Arts . 24 and 25 : a + b - c = a + ( b − c ) , a − b - c = a− ( b + c ) , a − b + c = a− ( b −c ) . From these results ...
... given on page 12 , and may be easily deduced from them . For the following equivalents have been established in Arts . 24 and 25 : a + b - c = a + ( b − c ) , a − b - c = a− ( b + c ) , a − b + c = a− ( b −c ) . From these results ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that 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 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.