Leonhard Euler · 1748 · Internet Archive
Introductio in analysin infinitorum
All 320 leaves · leaf 144
Transcription
116
LIB. I.
DE INVESTIGATIONE
Factores duo
$aa - 2az. \cos. \frac{\zeta}{2} + z^2$
$aa - 2az. \cos.(\frac{2\pi - \zeta}{2}) + zz$ feu $aa + 2az. \cos. \frac{\zeta}{2} + zz$
Formulæ
$a^6 - 2a^3 z^3. \cos. \zeta + z^6$
Factores tres
$aa - 2az. \cos. \frac{\zeta}{3} + z^2$
$aa - 2az. \cos. \frac{2\pi - \zeta}{3} + z^2$
$aa - 2az. \cos. \frac{2\pi + \zeta}{3} + z^2$
Formulæ
$a^8 - 2a^4 z^4. \cos. \zeta + z^8$
Factores quatuor
$aa - 2az. \cos. \frac{\zeta}{4} + zz$
$aa - 2az. \cos. \frac{2\pi - \zeta}{4} + zz$
$aa - 2az. \cos. \frac{2\pi + \zeta}{4} + zz$
$aa - 2az. \cos. \frac{4\
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