construction of horicircle through A and axis L_0
(1) A' is symmetirical to A with respect to line L_0. 
(2) Draw a symmetrical axis M_1 between L_0 & M_0, then take a symmetric point B to  A with respect to M_0.  
(3) By repeating these, you can take  points on the horicircle. 
 
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