The numbers in this triangle are arranged according to a certain system. What would be the next line?

In each row n of the triangle, the integers from 1 n they are in alphabetical order. In the next row the number 8 would be added, and since “eight” comes before “five” in alphabetical order, it must be at the beginning of the line, giving the following sequence:
8 5 4 1 7 6 3 2
(Keep in mind American scientifics editors had to adjust the order from this original German.)
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This puzzle appeared first the spectrum of science and reproduced with permission.