Abstract
The central role of the resolvent cubic in the solution of the quartic was first appreciated by Leonard Euler (1707-1783). Euler's quartic solution first appeared as a brief section (§ 5) in a paper on roots of equations [1, 2], and was later expanded into a chapter entitled ‘Of a new method of resolving equations of the fourth degree’ (§§ 773-783) in his Elements of algebra [3,4].
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. On the Graphical Discrimination of the Cubic and of the Quartic
2. De formis radicum aequationum cujusque ordinis conjectatio;Euler;Commentarii academiae scientiarum imperialis Petropolitianae,1733
3. A new approach to solving the cubic: Cardan’s solution revealed
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