Mostrar la construcción

$\vec{u}$

$\vec{v}$

$Paralela\; a\; \vec{v}$

$Recta \;de\; Pascal :\; paralela \; a \; P_1P_2$

$Paralela\; a\; \vec{u}$

l = true
P_1 = (2.677219973191547, 4.519878724418868)
P_2 = (1.7594519825020363, -0.4423685348352645)
P_3 = (6.709513341157637, -2.500259212029163)
E = (-7.104835903316699, -2.4730785757295837)
F = (-8.600439487741514, 2.8625882660021835)
u = Vector(E, F)
G = (-3.1030857720178715, -0.4519926508311871)
v = Vector(E, G)
c = Circle(P_1, P_2)
M = Point(c)
a = Line(P_1, M)
b = Line(P_1, P_2)
d = Line(P_3, v)
A = Intersect(a, d)
e = Line(A, b)
f = Line(P_2, P_3)
C = Intersect(e, f)
g = Line(C, u)
P = Intersect(a, g)
h = OrthogonalLine(P_1, a)
B_1 = Intersect(d, h)
i = Line(B_1, b)
I = Intersect(f, i)
j = Line(I, u)
J = Intersect(h, j)
k = Conic(P, P_1, P_2, P_3, J)
O = Center(k)
m = Line(O, v)
n = Line(O, u)

Tool: Hiperbola Tres Puntos Direccion Asintotas (command HiperbolaTresPuntosDireccionAsintotas)
Dar tres puntos y la dirección de las asíntotas
Input: P_1, P_2, P_3, u, v
Output: k

$\vec{u}$

$\vec{v}$

$Paralela\; a\; \vec{v}$

$Recta \;de\; Pascal :\; paralela \; a \; P_1P_2$

$Paralela\; a\; \vec{u}$

c = Circle(P_1, P_2)
M = Point(c)
a = Line(P_1, M)
b = Line(P_1, P_2)
d = Line(P_3, v)
A = Intersect(a, d)
e = Line(A, b)
f = Line(P_2, P_3)
C = Intersect(e, f)
g = Line(C, u)
P = Intersect(a, g)
h = OrthogonalLine(P_1, a)
B_1 = Intersect(d, h)
i = Line(B_1, b)
I = Intersect(f, i)
j = Line(I, u)
J = Intersect(h, j)
k = Conic(P, P_1, P_2, P_3, J)