Pivot's Theorem

Pivot:=proc() local A,B,C,A1,B1,C1,t1,t2,t3,P1,P2:

A1:=[t1*B[1]+(1-t1)*C[1]   ,   t1*B[2]+(1-t1)*C[2]]:
B1:=[t2*C[1]+(1-t2)*A[1]   ,   t2*C[2]+(1-t2)*A[2]]:
C1:=[t3*A[1]+(1-t3)*B[1]   ,   t3*A[2]+(1-t3)*B[2]]:

ConcurrentCes(   Ce(A,B1,C1)   ,   Ce(B,A1,C1)   ,   Ce(C,A1,B1)  ):

end:


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