If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression. New School Algebra - Σελίδα 10των George Albert Wentworth - 1898 - 407 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
| Cambridge Philosophical Society - 1894 - 506 σελίδες
...b, c, a, b, c) where a* + b" + c* = 0 for a directrix of the Absolute. Consider now two directrices (a, b, c, a, b, c) and (a,, b,, c,, a,, b,, c,) : if a line (a, b, c, f, g, h) meets each of these, then (o+/)a + (b+g)b +(c + h)c = 0, and consequently... | |
| 1836 - 530 σελίδες
...equivalent to adding a positive. A single example in numbers will illustrate this : important, are a — (b + c) = a — b — c, and a — (b — c) = a — b + c. It is plain that these apply equally to quantities of more than two terms. To subtract a quantity then... | |
| 1847 - 364 σελίδες
...because each system is not limited to six or any number of points and lines. If however the points A, B, C, A', B', C' and a, b, c, a, b', c belong to tmo collinear systems, and A, a, B, b, etc. be corresponding points ; then P the point of... | |
| William Allen Whitworth - 1866 - 574 σελίδες
...therefore only differ by the algebraical sign of the whole. Since and it follows from Art. 6 that a, b, c a, b', c a", b", c" and a, b, c a", b", c" a, b', c are of opposite algebraical sign. Hence the sign of a determinant of the third order is changed... | |
| Benjamin Greenleaf - 1873 - 420 σελίδες
...of the last three terms and inclosing them in a parenthesis, with the sign — prefixed. Hence, When an expression within a parenthesis is preceded by the sign — , the parenthesis may be remaned, if the sign of every inclosed term be changed; and Any number of terms in an expression may... | |
| Thomas Kimber - 1874 - 352 σελίδες
...add c, the result will be correct; and the expression without the brackets should be, a — b + c. .-.a— (b + c) =a — b — c. \ and a — (b — c) = a — b + c. J ' '' As an extension of the above, take the following example : — a — (b + с — m — n + r).... | |
| 1876 - 400 σελίδες
...then that 1 0 + (4 + 3) = 10 + 4 + 3, and that 10 + (4- 3) = 10 + 4 - 3 ; or, if a =10, b = 4, c = 3, a + (b + c) = a + b + c and a + (b - c) = a + b - c. Here we see that the brackets were removed without altering the value of the expression. We sum up... | |
| 1877 - 188 σελίδες
...c, the result will be correct; and the expression without the brackets should be, a — b + c. ... a — (b + c) = a — b — c. \ and a — (b — c) = a — b + c, J < ' As an extension of the above, take the following example : — a — (b + с — m — и + r).... | |
| Edward Albert Bowser - 1888 - 868 σελίδες
...a— b+(c — d+e), a+( — b+c— d+e), and so on. 33. Minus Sign before the Parenthesis. — When a parenthesis is preceded by the sign — , the parenthesis may be removed if the sign of every term within the parenthesis be changed . This rule has already been illustrated... | |
| George Albert Wentworth - 1891 - 380 σελίδες
...be enclosed within a parenthesis preceded by the sign +, without changing the sign of any term. If a parenthesis is preceded by the sign — , the parenthesis may be removed, provided the sign of every term within the parenthesis is changed, namely, + to — and — to + ; conversely, any... | |
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