Introductio in analysin infinitorum

96 DE QUANTITATIBUS TRANSCENDENT. LIB. I. $fin.(2y+z) = 2n fin.(y+z) - (mm+nn)fin.z$ five $fin.(2y+z) = 2cof.y.fin.(y+z) - (fin.z)$; atque simili modo $cof.(2y+z) = 2cof.y.cof.(y+z) - cof.z$. Eodem modo erit porro $fin.(3y+z) = 2cof.y.fin.(2y+z) - fin.(y+z)$, & $cof.(3y+z) = 2cof.y.cof.(2y+z) - cof.(y+z)$, itemque $fin.(4y+z) = 2cof.y.fin.(3y+z) - fin.(2y+z)$, & $cof.(4y+z) = 2cof.y.cof.(3y+z) - cof.(2y+z)$ &c. Cujus legis beneficio Arcuum in progressione arithmetica progredientium tam Sinus quam Cosinus quousque libuerit expedite formari possunt. 130. Cum fit $fin.(y+z) = fin.y.cof.z + cof.y.fin.z$ atque $fin.(y-z) = fin.y.cof.z - [TRUNCATED]