Leonhard Euler · 1748 · Internet Archive
Introductio in analysin infinitorum
All 320 leaves · leaf 191
Transcription
FRACTARUM EVOLUTIONE. 163
CAP. XII.
$A+Bf. cof. \Phi +Cff.cof. 2\Phi +Df^3.cof. 3\Phi + \&c.$
$\pm (Bf.fin. \Phi +Cff.fin. 2\Phi + Df^3.fin.3\Phi + \&c.) \sqrt{-1}$
$= \left\{ \begin{array}{l} A(\alpha +\epsilon f.cof. \Phi +\gamma ff.cof. 2\Phi +\delta f^3.cof. 3\Phi + \&c. ) \\ \pm A (\epsilon f.fin. \Phi +\gamma ff.fin. 2\Phi +\delta f^3.fin. 3\Phi + \&c. ) \sqrt{-1} \\ \pm A (\alpha f.cof.\Phi +\epsilon ff.cof. 2\Phi +\gamma f^3.cof. 3\Phi + \&c. ) \\ \pm A (\alpha f.fin. \Phi +\epsilon ff.fin. 2\Phi +\gamma f^3.fin. 3\Phi + \&c. ) \sqrt{-1} \end{array} \right.$
Sit, ad calculum abbreviandum,
$A+Bf. cof. \Phi + C ff. cof. 2\Phi + Df^3.cof. 3\Phi
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