ABSTRACT
Above, we considered a regular family of plane curves given by an equation @(x,y) = 0; different curves of the family were mutually disjoint. Now we will consider families of curves such that different curves of a family can be mutually intersecting. Let us take , for example, the family of circles of radius R whose centers are situated on the X-axis.The equation of any such circle is
For different a we have equations of different circles of the family. Two arbitrary sufficiently near circles are intersecting.
