$O$

$C$

$C'$

$A$

$B$

$D$

$E$

$F$

$B'$

$A'$

相似三角形

$case=%v$

O = (11.54, 0.58)
C = (3.2, 2.96)
e = Segment(C, O)
C' = Point(e)
A = (0.04, 0.1)
a = Segment(A, C)
b = OrthogonalLine(C, a)
B = Point(b)
c = Segment(B, C)
d = Segment(B, A)
f = Segment(O, B)
g = Segment(A, O)
D = Point(Segment[C, C'])
h = Line(D, c)
i = Line(D, a)
E = Intersect(h, f)
F = Intersect(i, g)
j = Segment(E, D)
k = Segment(D, F)
l = Segment(E, F)
poly1, a_1, b_1, c_1 = Polygon(B, C, A)
poly2, a_3, b_3, c_3 = Polygon(E, D, F)
α = Angle(B, C, A)
β = Angle(E, D, F)
m = Line(C', a_3)
n = Line(C', b_3)
B' = Intersect(m, f)
A' = Intersect(n, g)
poly3, a_2, b_2, c_2 = Polygon(B', C', A')
δ = Angle(A', C', B')
a_a = Segment(B, B')
a_b = Segment(A, A')
a_c = Segment(C, C')
text1: "$\frac{\overline{BC}}{\overline{AB}}=\frac{" + (LaTeX[a_1]) + "}{" + (LaTeX[c_1]) + "}=" + (LaTeX[FractionText[a_1 / c_1]]) + "$
$\frac{\overline{DE}}{\overline{EF}}=\frac{" + (LaTeX[a_3]) + " }{" + (LaTeX[c_3]) + " }=" + (LaTeX[FractionText[a_3 / c_3]]) + " $
$\frac{\overline{B'C'}}{\overline{A'B'}}=\frac{ " + (LaTeX[a_2]) + "}{" + (LaTeX[c_2]) + " }=" + (LaTeX[FractionText[a_2 / c_2]]) + " $"
text2: "$\frac{\overline{AC}}{\overline{AB}}=\frac{" + (LaTeX[b_1]) + "}{" + (LaTeX[c_1]) + "}=" + (LaTeX[FractionText[b_1 / c_1]]) + "$
$\frac{\overline{DF}}{\overline{EF}}=\frac{" + (LaTeX[b_3]) + "}{" + (LaTeX[c_3]) + "}=" + (LaTeX[FractionText[b_3 / c_3]]) + "$
$\frac{\overline{A'C'}}{\overline{A'B'}}=\frac{" + (LaTeX[b_2]) + "}{" + (LaTeX[c_2]) + "}=" + (LaTeX[FractionText[b_2 / c_2]]) + "$"
text3: "$\frac{\overline{BC}}{\overline{AC}}=\frac{" + (LaTeX[a_1]) + "}{" + (LaTeX[b_1]) + "}=" + (LaTeX[FractionText[a_1 / b_1]]) + "$
$\frac{\overline{DE}}{\overline{DF}}=\frac{" + (LaTeX[a_3]) + "}{" + (LaTeX[b_3]) + "}=" + (LaTeX[FractionText[a_3 / b_3]]) + "$
$\frac{\overline{B'C'}}{\overline{A'C'}}=\frac{" + (LaTeX[a_2]) + "}{" + (LaTeX[b_2]) + "}=" + (LaTeX[FractionText[a_2 / b_2]]) + "$"
case = 0 (slider from 0 to 3, step 1)
G = (-4.1, 5.14)