Introductio in analysin infinitorum

206 DE MULTIPLICATIONE LIB. I. $\text{cof.} nz = 2^{n-1} \text{fin.}(\frac{\pi}{2n} - z) \cdot \text{fin.}(\frac{\pi}{2n} + z) \cdot \text{fin.}(\frac{3\pi}{2n} - z) \times \text{fin.}(\frac{3\pi}{2n} + z) \cdot \text{fin.}(\frac{5\pi}{2n} - z) \text{ &c.,}$ quoad tot habeantur Factores quot numerus $n$ continet unitates. 243. Eadem expressiones prodibunt ex consideratione Cosinuum Arcuum multiplorum, si enim fuerit $\text{cof.} z = y$, erit ut sequitur $\text{cof.} 0z = 1$ $\text{cof.} 1z = y$ $\text{cof.} 2z = 2yy - 1$ $\text{cof.} 3z = 4y^3 - 3y$ $\text{cof.} 4z = 8y^4 - 8yy + 1$ $\text{cof.} 5z = 16y^5 - 20y^3 + 5y$ $\text{cof.} 6z = 32y^6 - 48 [TRUNCATED]