A*, B*, C* are the intersection points of the line with the sides of the triangle. They are characterized respectively by x

(1) x

Besides, the point belongs to side AC having equation:

(2) [ a*x

Thus the intersection point has coordinates determined by the solution of the linear system:

U

a*x

x

(x

Provided (U

Note that equation a*x

The line through B, whose points have distance ratios from the sides BA, BC given by (x

r

= -((2*D*U

The intersection point B* of line CA and the line U

Note that there is a double infinity of values of U

U

U

U

U

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