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16
A HISTORY OF MATHEMATICAL NOTATIONS
24. Explanation:
The algebraic equations is x2+
x4+x=10
The solution answers the question, By what must (1 ½ ¼) be multiplied to yield the product 10? The four lines 2–5 contain on the right the following computation:
Twice (1 ½ ¼) yields 3½. Four times (1 ½ ¼) yields 7. One-seventh of (1 ½ ¼) is ¼.
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[Continued on facing page]
[i,ei, taking (1 12 1) once, then fourtimes, togetherwith 10f it,yields only 9; there is lacking 1. The remaining computation is on the four lines 275, on the left. Since Eof (1 5 1,) yields (‘7 1‘, 2‘“) or 9‘, 0r]
(3 2‘3) 0f (1 -‘2 3% yields 32 And the double of this, namely, (g,‘,) of (1 12 1) yields 1, Adding together 1, 4, # and (7,1;71‘4), we Obtain Heap=5ug
% 1‘4 or 5‘13, the answer.
