This paper is to find

on the plane

the fundamental elements of which are or-iented circles

the common circles of a non-parabolic and two parabolic kernel-led fields of circlesδ（Z-Z

0

）=k≠0

（1.1）δ（Z-Z

1

）=0

（1.2）δ（Z-Z

2

）=0

（1.3）under the conditions that the two kernel circles Z

1

Z

2

are belonging to the field（1.1）

and the three circles Z

0

Z

1

Z

2

are not belonging to a same linear range ofcircles.The author gives the necessary and sufficient condition for the problemto be solvable;the problem is simplified by using Laguerre inversion

and thenthe solutions for every case are obtained.Finally an example for one case is of-feted.