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数学 / 欧拉代数学 / Article 10 · Letters in algebra

第 10 条 · 用字母代表一般数

All this is evident; and we have only to mention, that in Algebra, in order to generalise numbers, we represent them by letters, as a, b, c, d, &c.

这些都很明显;我们只需要补充一点:在代数中,为了把数一般化,我们用字母来表示它们,如 a、b、c、d 等。

Thus, the expression a + b, signifies the sum of two numbers, which we express by a and b, and these numbers may be either very great, or very small.

因此,式子 a + b 表示两个数的和;这两个数用 a 和 b 表示,它们可以很大,也可以很小。

In the same manner, p + m + b + x, signifies the sum of the numbers represented by these four letters.

同样,p + m + b + x 表示由这四个字母所代表的数的和。

If we know therefore the numbers that are represented by letters, we shall at all times be able to find, by arithmetic, the sum or value of such expressions.

所以,如果我们知道这些字母所代表的具体数,就总能用算术求出这类式子的和或值。

if a = 12 and b = 7, then a + b = 19

字母不是神秘符号,只是暂时代替某个数。

  1. 先写一般式:a + b。

  2. 给字母赋值:a = 12,b = 7。

  3. 代入后得到 12 + 7 = 19。