12douzeplus
Date: 23 Mars 2015

f(x)=F(p(a,b,c),s(a,b,c),x)

D(p, s, x) = (2 * x - p) * (2 * x^(3) - p * x^(2) + 4 * s - p^(3))
F(p, s, x) = (p - x) / 2 + sqrt(D(p, s, x)) / (2 * (p - 2 * x))
G(p, s, x) = (p - x) / 2 - sqrt(D(p, s, x)) / (2 * (p - 2 * x))
a = 33.3 (slider from 30 to 35, step 0.1)
b = 27 (slider from 25 to 29, step 0.1)
c = 13 (slider from 10 to 15, step 0.1)
p: a + b + c
s: (a + b + c) * (b * c + c * a + a * b) - 2 * a * b * c
f(x) = F(p, s, x)
g(x) = G(p, s, x)
A: (b, c)
A': (b, a)
B: (c, a)
B': (c, b)
C: (a, b)
C': (a, c)
d = Line(B, C)
e = Line(C', B')