engleski

Analagmatic Curves under the Isogonal Transformation

In this paper curves of 3rd and 4th order are generated under an isogonal transformation by means of the sinthetic and constructive method. It is shown that there exist a variaty of analagmatic curves, i.e. curves that are transformed by an isogonal transformation into themselves. The circular analagmatic curves of 3rd and 4th order are constracted as well. It is shown that there are pencils of such curves. Furthermore, curves of singular foci in those pencils curves are constructed.

analagmatic curve; circular curve; isogonal transformation

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