Construction of Higher-Order Curves by Nonlinear Space Transformations

Abstract

Devoted to the construction of algebraic curves of higher orders using the apparatus of instant transformations Girsta. Using the transformation Girsta parabolic circles with a pencil, we get the image of point A-the curve of order 2, if the trajectory of the center of the transformation is a curve of order 2 and a curve of order 6 if the trajectory of the center of the transformation is a curve of third order.