Curves have always been part geometry. Initially, there
were lines and circle, then it was added to a conic section and
later, with the advent of analytic geometry, they added more complex
curves. Particularly in a number of lines are algebraic curves
that are described by algebraic equations. Curves found application
mostly in mechanics. Today algebraic curves used in engineering
and in mathematics, in number theory, knot theory, computer science,
criminology, etc. With the bringing to account of complex
numbers became possible to consider curves in the complex plane.
It has expanded the horizons of geometry and enriched their knowledge
on curves, particularly on algebraic curves. Our goal is to give
a geometric picture of the foci of algebraic curves clearly show the
position of the foci in the plane, show how the number of foci associated
with a class curve. The solution of this problem we see in
the application we have developed ways to visualize imaginary
images to the study of foci and focal centers of algebraic curves.
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.