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Articles 32521 - 32524 of 32524
Full-Text Articles in Entire DC Network
De Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler
De Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler
All Works by Eneström Number
No abstract provided.
De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler
De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler
All Works by Eneström Number
No abstract provided.
De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler
De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler
All Works by Eneström Number
For an equation of degree n, Euler wants to define a "resolvent equation" of degree n-1 whose roots are related to the roots of the original equation. Thus, by solving the resolvent one can solve the original equation. In sections 2 to 7 he works this out for quadratic, cubic, and biquadratic equations. In section 8 Euler says that he wants to try the same approach for solving the quintic equation and general nth degree equations. In the rest of the paper he tries to figure out in what cases resolvents will work.
Von Der Gestalt Der Erden, Leonhard Euler
Von Der Gestalt Der Erden, Leonhard Euler
All Works by Eneström Number
No abstract provided.