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EnglishThis paper deals with a parametric family of ordinary differential equations originated by an ancient geometric problem posed in 1719 by the Swiss mathematician Jakob Hermann (1678-1733) and partially solved by Jacopo Vincenzo Riccati (1676-1754). We translate Riccati approach, called by himself dimidiata separazione (splitted, or halved, separation), in modern terms and we give the full solution of the Hermann problem completing the partial solution provided by Riccat
| Titolo: | Explicit Solution for a Family of Hermann Riccati Differential Equations | |
| Autore/i: | Daniele Ritelli | |
| Autore/i Unibo: | ||
| Anno: | 2022 | |
| Numero di pagine: | 9 | |
| Abstract: | This paper deals with a parametric family of ordinary differential equations originated by an ancient geometric problem posed in 1719 by the Swiss mathematician Jakob Hermann (1678-1733) and partially solved by Jacopo Vincenzo Riccati (1676-1754). We translate Riccati approach, called by himself dimidiata separazione (splitted, or halved, separation), in modern terms and we give the full solution of the Hermann problem completing the partial solution provided by Riccat | |
| Data stato definitivo: | 10-mag-2022 | |
| Appare nelle tipologie: | 3.01 Monografia / trattato scientifico in forma di libro |
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