FOCI ALGEBRAIC CURVES

Hirsch Anton Georgievich

Аbstract

This article explains the concept of the foci of algebraic curves shows the basic principle of the curve-theory and offers a method for the identification of the foci. The geometric picture of the foci is shown in a diagram, which is putted together from two tables. One table shows the real curve with her foci, the other table shows an imaginary cut of the curve, on which the isotropic line contacts the cut and under them intersects in a real point. The point is a focal point of the real curve. This project shows 16 diagrams for conic, cubes and quadrics.

Keywords: algebraic curve; circular curve; order of the curve; class of the curve; conics; cubics; quartics; isotropic lines; cyclical points; ideal line; imaginary section; tangent line; ordinary foci; special foci.