This paper addresses an article by Felix Klein of 1886, in which he generalized his theory of polynomial equations of degree 5—comprehensively discussed in his Lectures on the Icosahedron two years earlier—to equations of degree 6 and 7. To do so, Klein used results previously established in line geometry. I review Klein’s 1886 article, its diverse mathematical background, and its place within the broader history of mathematics. I argue that the program advanced by this article, although historically overlooked due to its eventual failure, offers a valuable insight into a time of crucial evolution of the subject.
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Historia Mathematica
Bollettino di Storia delle Scienze Matematiche
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Circumscribere: International Journal for the History of Science
Historia Scientiarum: International Journal of the History of Science Society of Japan
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