Hello Vanjagenije,  

 Thank to You very much, and Sorry for my English. 

 please see: 

 https://nl.wikipedia.org/wiki/Cirkel_van_Van_Lamoen 

 van Lamoen circle like as Dao six point circle, Why you did not deleted van Lamoen circle?  

 Best regards 
 Sincerely 
 Eightcirclestheorem