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Imaginary points in Cartesian coordinate system

Фото Hirsch Anton Georgievich
Фото Korotku Wiktor Anatoliewith

Аbstract

A geometric model of a pair of complex conjugate imaginary points on the Euclidean plane is considered. Geometric model is represented as a marker OL. Theorems are proved that establish a one-to-one correspondence between the real coordinates of the marker and the complex coordinates of the pair of imaginary conjugate points depicted by this marker. A graphical algorithm for constructing a circle passing through a real point and through a pair of imaginary conjugate points is proposed.

Keywords: Complex Cartesian coordinates, elliptic involution, image of imaginary points