Βλέπουμε δύο όμοια τρίγωνα ΑΒΓ και Α΄Β΄Γ΄.
με γωνίες  Β=Β΄ και Γ=Γ΄.

Λόγος ομοιότητας    λ

$ \frac{\gamma}{\gamma΄} =$

ΛΟΓΟΣ ΕΜΒΑΔΩΝ

Λόγος υψών

φ = 1.0471975511965976 rad (slider from 0 to 179°, step 0.017453292519943295)
θ = 0.5235987755982988 rad (slider from 0 to 179°, step 0.017453292519943295)
Γ = (13.46, 1.28)
B = (7.68, 1.44)
A'_1 = Rotate(Γ, φ, B)
γ = Angle(Γ, B, A'_1)
Γ' = (12.84, -1.66)
B' = (8.14, -1.7)
C' = Rotate(Γ', φ, B')
δ = Angle(Γ', B', C')
a = Ray(B, Γ)
b = Ray(B, A'_1)
c = Ray(B', Γ')
d = Ray(B', C')
B'_1 = Rotate(B, (-θ), Γ)
ε = Angle(B'_1, Γ, B)
e = Ray(Γ, B'_1)
A = Intersect(b, e)
E, a_1, e_1, b_1 = Polygon(A, B, Γ)
D' = Rotate(B', (-θ), Γ')
ζ = Angle(D', Γ', B')
f = Ray(Γ', D')
A' = Intersect(d, f)
E', f_1, d_1, Ζ = Polygon(B', Γ', A')
h = false
l_1: b_1 / d_1
κείμενο5: "$ \frac{" + (LaTeX[a_1]) + "}{" + (LaTeX[Ζ]) + "} $"
l_2: a_1 / Ζ
κείμενο6: "=" + (LaTeX[l_2]) + ""
l_3: e_1 / f_1
i = false
Ε: E / E'
κείμενο7: "$ \frac{α}{α΄}=\frac{" + (LaTeX[e_1]) + "}{" + (LaTeX[f_1]) + "}=" + (LaTeX[l_3]) + " $"
κείμενο2: " \frac{ β }{β΄ }= \frac{ " + (LaTeX[b_1]) + " }{" + (LaTeX[d_1]) + " }"
k = false
l = OrthogonalLine(A, e_1)
m = OrthogonalLine(A', f_1)
Δ = Intersect(l, e_1)
Δ' = Intersect(m, f_1)
υ = Segment(A, Δ)
υ' = Segment(A', Δ')
η = Angle(Γ, Δ, A)
θ_1 = Angle(Γ', Δ', A')
κείμενο3: "= " + l_1 + ""
κείμενο8: "\frac{(ΑΒΓ)}{(Α'Β'Γ')}=\frac{" + (LaTeX[E]) + "}{" + (LaTeX[E']) + "}=" + (LaTeX[Ε]) + ""
κείμενο11: "\frac{\ΑΔ}{Α'Δ'}=\frac{" + (LaTeX[υ]) + "}{" + (LaTeX[υ']) + "}=" + (LaTeX[l_1]) + ""