Introductio in analysin infinitorum

AC DIVISIONE ANGULORUM. 203 CAP. XIV. $fin. \ 0 \ z = 0$ $fin. \ 2 \ z = 2 x \sqrt{(1-xx)}$ $fin. \ 4 \ z = (4x - 8 x^3) \sqrt{(1-xx)}$ $fin. \ 6 \ z = (6x - 32x^3 + 32x^5) \sqrt{(1-xx)}$ $fin. \ 8 \ z = (8x - 80x^3 + 192x^5 - 128x^7) \sqrt{(1-xx)}$ & generaliter $fin. \ nz = (nx - \frac{n(nn-4)}{1.2.3}x^3 + \frac{n(nn-4)(nn-16)}{1.2.3.4.5}x^5 - \frac{n(nn-4)(nn-16)(nn-36)}{1.2.3.4.5.6.7}x^7 + \dots \pm 2^{n-1}x^{n-1})\sqrt{(1-xx)}$ denotante $n$ numerum quemcunque parem. 239. Ad aequationem hanc rationalem efficiendam sumantur utrinque quadrata, ac prodibit [TRUNCATED]