Introductio in analysin infinitorum

202 DE MULTIPLICATIONE LIB. I. EXEMPLUM III. Hoc modo, si ponamus $n = 2m+1$, erit $0 = \text{fin.} z + \text{fin.}(\frac{\varpi}{n} - z) - \text{fin.}(\frac{\varpi}{n} + z) - \text{fin.}(\frac{2\varpi}{n} - z) + \text{fin.}(\frac{2\varpi}{n} + z) + \text{fin.}(\frac{3\varpi}{n} - z) - \text{fin.}(\frac{3\varpi}{n} + z) - \dots \pm \text{fin.}(\frac{m\varpi}{n} - z) \mp \text{fin.}(\frac{m\varpi}{n} + z)$ ubi signa superiora valent si $m$ fit numerus impar, inferiora si fit par. Altera aequatio erit haec. $\frac{n}{\text{fin.} nz} = \frac{1}{\text{fin.} z} + \frac{1}{\text{fin.}(\frac{\varpi}{n} - z)} - \frac{1}{\text{fin.}(\frac{\varpi}{n} + z)} - \frac{1}{\text{fin.}(\frac{2\varpi}{n} [TRUNCATED]