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- W2185581763 abstract "In this paper we show that the Gergonne point G of a trianglein the Euclidean plane can in fact be seen from the more general point of view, i.e., from the viewpoint of projective geometry. So it turns out that there are up to four Gergonne points associated with �. The Gergonne and Nagel point are isotomic conjugates of each other and thus we find up to four Nagel points associated with a generic triangle. We reformulate the problems in a more general setting and illustrate the different appearances of Gergonne points in different affine geometries. Darboux's cubic can also be found in the more general setting and finally a projective version of Feuerbach's circle appears." @default.
- W2185581763 created "2016-06-24" @default.
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- W2185581763 date "2009-01-01" @default.
- W2185581763 modified "2023-09-27" @default.
- W2185581763 title "Generalized Gergonne and Nagel Points" @default.
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