//------------------------------------------------------------------------------------
#include "analytical_g.inc"
//------------------------------------------------------------------------------------

#declare A  = <-0.70, 0.30,-0.50>; // change point sequence of triangle ABC->ACB if it does not work 
#declare B  = < 1.00, 0.70, 0.50>;
#declare C  = < 0.70, 0.20,-0.50>;
//------------------------------------------------------------------------------------
sphere{ A, 0.035 pigment{ color rgb<1,0.2,0> } no_shadow }
object{ Show_Yxz( A, 0.02) pigment{ color rgb<1,1,1>*0.7}  no_shadow }

sphere{ B, 0.035 pigment{ color rgb<1,0.2,0> } no_shadow }
object{ Show_Yxz( B, 0.02) pigment{ color rgb<1,1,1>*0.7}  no_shadow }

sphere{ C, 0.035 pigment{ color rgb<1,0.2,0> } no_shadow }
object{ Show_Yxz( C, 0.02) pigment{ color rgb<1,1,1>*0.7}  no_shadow }

text { ttf "arial.ttf", "A",0.1,0 
       scale 0.25 rotate<20,-45,0> translate A+<-0.2,-0.1,-0.1> pigment{ color Red*0.7 } no_shadow}

text { ttf "arial.ttf", "B",0.1,0 
       scale 0.25 rotate<20,-45,0> translate B+< 0.2,0.0,-0.0> pigment{ color Red*0.7 } no_shadow }

text { ttf "arial.ttf", "C",0.1,0 
       scale 0.25 rotate<20,-45,0> translate C+<-0.0,0.2,-0.1> pigment{ color Red*0.7 } no_shadow }


//------------------------------------------------------------------------------------
// triangle ABC
// triangle { A, B, C       pigment{ color Yellow transmit 0.5 }}
cylinder{ A, B, 0.02  pigment{ color rgb<0.7,0.0,0> } no_shadow }
cylinder{ B, C, 0.02  pigment{ color rgb<0.7,0.0,0> } no_shadow }
cylinder{ A, C, 0.02  pigment{ color rgb<0.7,0.0,0> } no_shadow }

//------------------------------------------------------------------------------------

// Circum circle of triangle ABC
// circum circle center.   
sphere{ Triangle_M_out(  A, B, C ), 0.05 pigment{ color rgb<0.75,1,0>  }}

// circum circle line: ...............   
object{ Circle_Line_out( A, B, C,  0.025) pigment{ color rgb<1,0.65,0> }}


// circum circle area .............   
object{ Circle_Disc_out( A, B, C ) pigment{ color rgb<1,0.65,0>  transmit 0.5 }}


 // circum circle radius   
 // = Triangle_R_out( A, B, C ) 
text{ ttf "ARIAL.TTF"  concat( "Triangle_R_out= ",str( Triangle_R_out( A, B, C ), 6, 3 )," ") , 0.1, 0       
       scale 0.2 rotate<20,-44,0> translate <0.35,0.1,-1.60>  pigment{ color rgb<0.5,1,0>*0.50}
       no_shadow 
    }
 

//------------------------------------------------------------------------------------