Riassunto
Siano
$${x_m} = {\varepsilon ^m}a + {\varepsilon ^{2m}}b + {\varepsilon ^{4m}}c + {\varepsilon ^{3md}}\left( {\log \varepsilon = \frac{{2\pi }}{5},m = 0,1,2,3,4} \right)$$
le radici della equazione
$${x^5} - 10\alpha {x^3} - 10\beta {x^2} - 5\gamma x - \delta = 0;$$
((1))
e per maggior brevità si ponga
$$\left. {\begin{array}{*{20}{c}}{g = a{b^2} + c{d^2},h = {a^3}b + {c^3}d,j = {a^5} + {c^5}} \\{g' = b{c^2} + d{a^2},h' = {b^3}c + {d^3}a,k' = {b^5} + {d^5}} \\\end{array}} \right\}$$
((2))
.
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© 1956 Springer Basel AG
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Schläfli, L. (1956). La risolvente dell’equazione di quinto grado sotto la forma di un determinante simmetrico a quattro linee. In: Gesammelte Mathematische Abhandlungen. Springer, Basel. https://doi.org/10.1007/978-3-0348-4116-0_8
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DOI: https://doi.org/10.1007/978-3-0348-4116-0_8
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