Question: How to solve this equations?

> eqns := {(x[1]+1)^2+y[1]^2 = (x[2]-1)^2+y[2]^2, (x[1]-c[1])^2+(y[1]-c[2])^2 = (x[3]-1)^2+y[3]^2, (x[2]-c[1])^2+(y[2]-c[2])^2 = (x[3]+1)^2+y[3]^2, y[1](x[3]+1) = y[3](x[1]+1), y[2](x[3]-1) = y[3](x[2]-1), (x[2]-c[1])(y[1]-c[2]) = (x[1]-c[1])(y[2]-c[2])};
print(`output redirected...`); # input placeholder
 /          2       2             2       2 
{ (x[1] + 1)  + y[1]  = (x[2] - 1)  + y[2] ,
 \                                          

               2                2             2       2 
  (x[1] - c[1])  + (y[1] - c[2])  = (x[3] - 1)  + y[3] ,

               2                2             2       2         
  (x[2] - c[1])  + (y[2] - c[2])  = (x[3] + 1)  + y[3] , x[2](y[1

  ] - c[2]) - c[1](y[1] - c[2]) = x[1](y[2] - c[2])

   - c[1](y[2] - c[2]), y[1](x[3] + 1) = y[3](x[1] + 1),

                                 \
  y[2](x[3] - 1) = y[3](x[2] - 1) }
                                 /
> vars := {x[1], x[2], x[3], y[1], y[2], y[3]};
print(`output redirected...`); # input placeholder
              {x[1], x[2], x[3], y[1], y[2], y[3]}
> solve(eqns, vars);
%;
Warning, solutions may have been lost

How to solve this equations? Thank you!

Best reguard

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