Mostrar la construcción

$a$

$F$

$t$

$P$

$c_F=F(2a)$

$S'$

$F'$

$O$

$c_P=O(a)$

$A$

$A'$

c = true
A_1 = (-5.34, 5.26)
B = (9.92, 5.38)
a_1 = Ray(A_1, B)
C = Point(a_1)
a = Segment(A_1, C)
F = (0.5, 2.52)
D = (3.88, -1.02)
E = (7.22, 4.26)
t = Line(D, E)
P = Point(t)
c_F = Circle(F, 2 * a)
b = Ray(F, P)
S' = Intersect(c_F, b)
F' = Mirror(S', t)
d = Line(F, F')
O = Midpoint(F, F')
c_p = Circle(O, a)
A, A' = Intersect(c_p, d)
P' = Mirror(P, d)
P'_1 = Mirror(P, O)
f = Conic(A, P, A', P', P'_1)

Tool: Conica aFt_P (command ConicaaFt_P)
Dar un segmenro, un foco y la tangente en un punto
Input: a, F, t, P
Output: f, F'

$a$

$F$

$t$

$P$

$c_F=F(2a)$

$S'$

$F'$

$O$

$c_P=O(a)$

$A$

$A'$

A_1 = (-5.34, 5.26)
C = (-3.3605942236840978, 5.275565445161068)
a = Segment(A_1, C)
P = Point(t)
c_F = Circle(F, 2 * a)
b = Ray(F, P)
S' = Intersect(c_F, b)
F' = Mirror(S', t)
d = Line(F, F')
O = Midpoint(F, F')
c_p = Circle(O, a)
A, A' = Intersect(c_p, d)
P' = Mirror(P, d)
P'_1 = Mirror(P, O)
f = Conic(A, P, A', P', P'_1)