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 - Page 11by George Albert Wentworth - 1898Full view - About this book
| Cambridge Philosophical Society - Science - 1894 - 506 pages
...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... | |
| Mathematics - 1836 - 530 pages
...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 pages
...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 - Coordinates, Trilinear - 1866 - 574 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 - Algebra - 1888 - 868 pages
...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 - Algebra - 1891 - 380 pages
...— с = a — (i + c); a — (b—с} = a — b-\-с, л a — 6 + c = a — (b — c); that is, if **a parenthesis is preceded by the sign +, the parenthesis may be removed without** changing any of the signs of the terms within the parenthesis; conversely, any number of terms may... | |
| |