The Root of it will be equal to

(1) _y_ = ½[ⁿ√](_a_ + √(_aa_ - 1)) +

½/[ⁿ√](_a_ + √(_aa_ - 1)), or

(2) _y_ = ½[ⁿ√](_a_ + √(_aa_ - 1)) +

½[ⁿ√](_a_ - √(_aa_ - 1)), or

(3) _y_ = ½/[ⁿ√](_a_ - √(_aa_ - 1)) +

½[ⁿ√](_a_ - √(_aa_ - 1)), or

(4) _y_ = ½/[ⁿ√](_a_ - √(_aa_ - 1)) +

½/[ⁿ√](_a_ + √(_aa_ - 1)).

Here it is to be noted, that if (_n_ - 1)/2 be an odd Number, the Sign

of the Root found must be contrary to it.

Miscellanea Curiosa, Vol. 1 Containing a collection of some of the principal phaenomena in nature, accounted for by the greatest philosophers of this age · 第 30 / 38 题