A: (342549133 / 30368338, sqrt(68143844781297815) / 30368338)
B: (0, 0)
C: (197 / 13, 0)
a = Segment(B, C)
b = Segment(C, A)
c = Segment(A, B)
AB = Line(A, B)
BC = Line(B, C)
CA = Line(C, A)
S: (1 / 2 * sqrt(((((a + b - c) * (a - b + c)) * ((-a) + b + c)) * (a + b + c))))
J: sqrt(a^(6) - (a^(4) * b^(2)) - (a^(2) * b^(4)) + b^(6) - (a^(4) * c^(2)) + (((3 * a^(2)) * b^(2)) * c^(2)) - (b^(4) * c^(2)) - (a^(2) * c^(4)) - (b^(2) * c^(4)) + c^(6)) / (((a * b) * c))
R: (((a * b) * c)) / sqrt(((((a + b - c) * (a - b + c)) * ((-a) + b + c)) * (a + b + c)))
aa: acosd(((-a^(2)) + b^(2) + c^(2)) / (((2 * b) * c)))
bb: acosd((a^(2) - b^(2) + c^(2)) / (((2 * a) * c)))
cc: acosd((a^(2) + b^(2) - c^(2)) / (((2 * a) * b)))
r: sqrt(((((a + b - c) * (a - b + c)) * ((-a) + b + c))) / ((4 * (a + b + c))))
rt3: sqrt(3)
SA: (1 / 2 * ((-a^(2)) + b^(2) + c^(2)))
SB: (1 / 2 * (a^(2) - b^(2) + c^(2)))
SC: (1 / 2 * (a^(2) + b^(2) - c^(2)))
SW: (1 / 2 * (a^(2) + b^(2) + c^(2)))
w: atand(S / SW)
Pa = Parabola(A, a)
AbNear = Barycenter({A, B, C}, {(a * c), S, 0})
AbFar = Barycenter({A, B, C}, {(a * c), (-S), 0})
e: Distance[B, AbNear] / Distance[B, AbFar] < 1
AcFar = Barycenter({A, B, C}, {(a * b), 0, (-S)})
AcNear = Barycenter({A, B, C}, {(a * b), 0, S})
LaFar = Line(AbFar, AcFar)
LaNear = Line(AbNear, AcNear)
Pb = Parabola(B, b)
BcFar = Barycenter({A, B, C}, {0, (a * b), (-S)})
CaFar = Barycenter({A, B, C}, {(-S), 0, (b * c)})
BaFar = Barycenter({A, B, C}, {(-S), (b * c), 0})
CbFar = Barycenter({A, B, C}, {0, (-S), (a * c)})
Pc = Parabola(C, c)
LbFar = Line(BaFar, BcFar)
LcFar = Line(CaFar, CbFar)
A1Far = Intersect(LbFar, LcFar)
B1Far = Intersect(LcFar, LaFar)
C1Far = Intersect(LaFar, LbFar)
BcNear = Barycenter({A, B, C}, {0, (a * b), S})
CaNear = Barycenter({A, B, C}, {S, 0, (b * c)})
BaNear = Barycenter({A, B, C}, {S, (b * c), 0})
CbNear = Barycenter({A, B, C}, {0, S, (a * c)})
LbNear = Line(BaNear, BcNear)
LcNear = Line(CaNear, CbNear)
A1Near = Intersect(LbNear, LcNear)
B1Near = Intersect(LcNear, LaNear)
C1Near = Intersect(LaNear, LbNear)
laf = Line(A, A1Far)
lbf = Line(B, B1Far)
lcf = Line(C, C1Far)
X1123 = TriangleCenter(A, B, C, 1123)
X1336 = TriangleCenter(A, B, C, 1336)
lan = Line(A, A1Near)
lbn = Line(B, B1Near)
lcn = Line(C, C1Near)
X38015 = Barycenter({A, B, C}, {(((((-a^(2)) * b) * c) + S^(2)) * (((((-a) * b) * c) * ((-a) + b + c)) + S^(2))), (((((-a) * b^(2)) * c) + S^(2)) * (((((-a) * b) * c) * (a - b + c)) + S^(2))), ((((((-a) * b) * (a + b - c)) * c) + S^(2)) * ((((-a) * b) * c^(2)) + S^(2)))})
lafan = Line(A1Far, A1Near)
lbfbn = Line(B1Far, B1Near)
lcfcn = Line(C1Far, C1Near)
LX37X158 = Line(X1336, X1123)