Geodesic
Analagmatic Curves under the Isogonal Transformation
Journal for geometry and graphics, Tome 7 (2003) no. 1, pp. 053-063 Cet article a éte moissonné depuis la source Heldermann Verlag

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This paper treats plane curves of 3rd and 4th order generated under an isogonal transformation. It is shown by synthetic and constructive methods that there exists a variety of analagmatic curves, i.e., curves that are invariant under the isogonal transformation. Circular analagmatic curves of 3rd and 4th order are constructed as well. It is proved that there are pencils of such curves. Furthermore, for these pencils the curves of singular foci are determined.
Classification : 51N35
Mots-clés : isogonal transformation, analagmatic curve, circular curve, singular focus 
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     author = {A. Sliepcevic},
     title = {Analagmatic {Curves} under the {Isogonal} {Transformation}},
     journal = {Journal for geometry and graphics},
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     year = {2003},
     volume = {7},
     number = {1},
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A. Sliepcevic. Analagmatic Curves under the Isogonal Transformation. Journal for geometry and graphics, Tome 7 (2003) no. 1, pp. 053-063. http://geodesic.mathdoc.fr/item/JGG_2003_7_1_JGG_2003_7_1_a3/