Leonhard Euler · 1748 · Internet Archive
Introductio in analysin infinitorum
All 320 leaves · leaf 157
Transcription
IN DEFINIEND. SUMMIS SERIER. INFINIT. 129
CAP. X.
$P = \alpha + \beta + \gamma + \delta + \epsilon + \&c.$
$Q = \alpha^2 + \beta^2 + \gamma^2 + \delta^2 + \epsilon^2 + \&c.$
$R = \alpha^3 + \beta^3 + \gamma^3 + \delta^3 + \epsilon^3 + \&c.$
$S = \alpha^4 + \beta^4 + \gamma^4 + \delta^4 + \epsilon^4 + \&c.$
$T = \alpha^5 + \beta^5 + \gamma^5 + \delta^5 + \epsilon^5 + \&c.$
$V = \alpha^6 + \beta^6 + \gamma^6 + \delta^6 + \epsilon^6 + \&c.$
$\&c.$
Valores $P, Q, R, S, T, V$ &c. sequenti modo ex cognitis $A, B, C, D$, &c., determinabuntur.
$P = A$
$Q = AP - 2B$
$R = AQ - BP + 3C$
$S = AR - BQ + CP - 4D$
$T = AS - BR + CQ - DP + 5E$
$V = AT - BS + CR - DQ + EP -
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