I_1

I_2

G

H

K

C = (5.82, 2.16)
B = (6.140000000000001, -1.5)
A = (0.3, -0.78)
triangulo, b, a, c = Polygon(A, C, B)
xA: x(A)
xB: x(B)
xC: x(C)
yA: y(A)
yB: y(B)
yC: y(C)
x13: (((a^(4) + (a^(2) * b^(2)) - (2 * b^(4)) + (a^(2) * c^(2)) + ((4 * b^(2)) * c^(2)) - (2 * c^(4)) + ((sqrt(3) * a^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c))))) * xA) + ((b^(4) + (b^(2) * c^(2)) - (2 * c^(4)) + (a^(2) * b^(2)) + ((4 * a^(2)) * c^(2)) - (2 * a^(4)) + ((sqrt(3) * b^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c))))) * xB) + ((c^(4) + (a^(2) * c^(2)) - (2 * a^(4)) + (b^(2) * c^(2)) + ((4 * a^(2)) * b^(2)) - (2 * b^(4)) + ((sqrt(3) * c^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c))))) * xC)) / (a^(4) + (a^(2) * b^(2)) - (2 * b^(4)) + (a^(2) * c^(2)) + ((4 * b^(2)) * c^(2)) - (2 * c^(4)) + ((sqrt(3) * a^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c)))) + b^(4) + (b^(2) * c^(2)) - (2 * c^(4)) + (a^(2) * b^(2)) + ((4 * a^(2)) * c^(2)) - (2 * a^(4)) + ((sqrt(3) * b^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c)))) + c^(4) + (a^(2) * c^(2)) - (2 * a^(4)) + (b^(2) * c^(2)) + ((4 * a^(2)) * b^(2)) - (2 * b^(4)) + ((sqrt(3) * c^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c)))))
y13: (((a^(4) + (a^(2) * b^(2)) - (2 * b^(4)) + (a^(2) * c^(2)) + ((4 * b^(2)) * c^(2)) - (2 * c^(4)) + ((sqrt(3) * a^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c))))) * yA) + ((b^(4) + (b^(2) * c^(2)) - (2 * c^(4)) + (a^(2) * b^(2)) + ((4 * a^(2)) * c^(2)) - (2 * a^(4)) + ((sqrt(3) * b^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c))))) * yB) + ((c^(4) + (a^(2) * c^(2)) - (2 * a^(4)) + (b^(2) * c^(2)) + ((4 * a^(2)) * b^(2)) - (2 * b^(4)) + ((sqrt(3) * c^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c))))) * yC)) / (a^(4) + (a^(2) * b^(2)) - (2 * b^(4)) + (a^(2) * c^(2)) + ((4 * b^(2)) * c^(2)) - (2 * c^(4)) + ((sqrt(3) * a^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c)))) + b^(4) + (b^(2) * c^(2)) - (2 * c^(4)) + (a^(2) * b^(2)) + ((4 * a^(2)) * c^(2)) - (2 * a^(4)) + ((sqrt(3) * b^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c)))) + c^(4) + (a^(2) * c^(2)) - (2 * a^(4)) + (b^(2) * c^(2)) + ((4 * a^(2)) * b^(2)) - (2 * b^(4)) + ((sqrt(3) * c^(2)) * sqrt(((((a + b + c) * ((-a) + b + c)) * (a - b + c)) * (a + b - c)))))
I_1: (x13, y13)
I_2 = X14(triangulo)
ver1 = false
ver2 = false
verG = false
verH = false
verK = false
G = Baricentro(triangulo)
H = Ortocentro(triangulo)
K = Simediano(triangulo)

Tool: X14
Triángulo
Input: polígono1
Output: X14

A = (0.3, -0.78)
B = (5.82, 2.16)
C = (6.140000000000001, -1.5)
polígono1, c, a, b = Polygon(A, B, C)
A' = Intersect(c, b)
B' = Intersect(a, c)
C' = Intersect(a, b)
q = Circle(C', A')
g = LineBisector(b)
f = LineBisector(a)
E = Midpoint(b)
e = Line(B', E)
D = Midpoint(a)
d = Line(A', D)
F = Intersect(d, e)
i = OrthogonalLine(F, g)
G = Intersect(g, i)
k = Ray(E, G)
K = Intersect(q, k, 1)
l = Line(K, B')
h = OrthogonalLine(F, f)
H = Intersect(f, h)
p = Circle(C', B')
j = Ray(D, H)
J = Intersect(p, j, 1)
m = Line(J, A')
X14 = Intersect(l, m)

Tool: Baricentro
Triángulo
Input: polígono1
Output: G

A = (0.3, -0.78)
B = (5.82, 2.16)
C = (6.140000000000001, -1.5)
polígono1, c, a, b = Polygon(A, B, C)
E = Midpoint(a)
F = Midpoint(b)
d = Line(B, F)
e = Line(A, E)
G = Intersect(d, e)

Tool: Ortocentro
Triángulo
Input: polígono1
Output: H

A = (0.3, -0.78)
B = (5.82, 2.16)
C = (6.140000000000001, -1.5)
polígono1, c, a, b = Polygon(A, B, C)
d = OrthogonalLine(B, b)
f = OrthogonalLine(A, a)
H = Intersect(f, d)

Tool: Simediano
Triángulo
Input: polígono1
Output: Simediano

C = (6.140000000000001, -1.5)
B = (5.82, 2.16)
A = (0.3, -0.78)
polígono1, c, a, b = Polygon(A, B, C)
H = Point(a)
F = Midpoint(b)
E = Midpoint(a)
k = Line(H, E)
D = Midpoint(c)
G = Point(b)
l = Line(G, F)
C' = Intersect(l, k)
I = Point(c)
j = Line(I, D)
A' = Intersect(l, j)
B' = Intersect(k, j)
f = AngularBisector(C', A', B')
i = AngularBisector(B', C', A')
e = Line(A', E)
e' = Mirror(e, f)
g = Line(C', D)
g' = Mirror(g, i)
Simediano = Intersect(e', g')