A = (6.325925925925925, 6.048148148148147)
B = (0.7037037037037029, 3.803703703703703)
C = (8.281481481481482, 2.892592592592592)
P, c, a, b = Polygon(A, B, C)
h = OrthogonalLine(A, xAxis)
A' = Intersect(h, xAxis)
i = OrthogonalLine(B, xAxis)
B' = Intersect(i, xAxis)
g = OrthogonalLine(C, xAxis)
C' = Intersect(g, xAxis)
a' = OrthogonalLine(A', a)
b' = OrthogonalLine(B', b)
c' = OrthogonalLine(C', c)
S = Intersect(a', c')