About Lissajous Figures

Lozhkin A.G.

Abstract


It is shown in short that the Lissajous figures unite the central symmetric conic sections, the line and complex Jordan curves. A chance of finding the method of arbitrary linear transformations of Jordan curves is provided.

Keywords


Jordan curves; arbitrary linear transformations; automorphism

References References

Ложкин А. Г. Вычислительная планиметрия с вырожденными преобразованиями. - Екатеринбург : ИЭ УрО РАН, 2009. - 158 с.

Ложкин А., Дюкина Н. Структурирование аналитической геометрии на основе симметрий. - Saarbrucken : LAP, 2012. - 176 с.

Gibson C. G. Elementary geometry of differentiable curves: an undergraduate introduction. - Cambridge : University press, 2001. - 216 p.


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ISSN 1813-7903 (Print)
ISSN 2413-1172 (Online)