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Abstract: Translated from the Latin original -Observationes generales circa series,quarum termini secundum sinus vel cosinus angulorum multiplorum progrediuntur-1777. E655 in the Enestrom index. Euler looks at the binomial expansion$1+x^n$ for $x=\cos \phi+i\sin\phi$. He does $n=$ positive and negativeintegers, and $n={1-2} -{1-2}$, and particular values of $\phi$.



Author: Leonhard Euler

Source: https://arxiv.org/







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