Leonhard Euler · 1748 · Internet Archive
Introductio in analysin infinitorum
All 320 leaves · leaf 142
Transcription
114 DE INVESTIGATIONE
LIB. I.
Si $n=1$
Formulæ
$a-z$
ipsa erit Factor
$a-z$
Si $n=3$
Formulæ
$a^3-z^3$
Factores erunt
$a-z$
$aa - 2az\cos\frac{2}{3}\pi + zz$
Si $n=5$
Formulæ
$a^5-z^5$
Factores erunt
$a-z$
$aa - 2az\cos\frac{2}{5}\pi + zz$
$aa - 2az\cos\frac{4}{5}\pi + zz$
Si $n=2$
Formulæ
$a^2-z^2$
Factores erunt
$a-z$
$a+z$
Si $n=4$
Formulæ
$a^4-z^4$
Factores erunt
$a-z$
$aa - 2az\cos\frac{2}{4}\pi + zz$
$a+z$
Si $n=6$
Formulæ
$a^6-z^6$
Factores erunt
$a-z$
$aa - 2az\cos\frac{2}{6}\pi + zz$
$aa - 2az\cos\frac{
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