A

\text{Zostrojte } \triangle ABC, \text{ ak je dané } ∡A=α, ∡B=β, \text{ a obvod }o=a+b+c

A'

a+b+c

\triangle AMN ≈\triangle ABC: ∡A=α,∡M=β

| AB_1| =| AC_1|=\frac{o}{2}

\text{ Kružnica }k\text{ dotýkajúca v bodoch }C_1, B_1

\text{Dotyčnica } \overleftrightarrow{BC}∥MN \text{ ku kružnici }k

F = (18, -7)
D_{1} = (0, -7)
o = Line(D_{1}, F)
G = Point(o)
E: G
h = Segment(D_{1}, E)
S = Midpoint(h)
α = 0.6981317007977318 rad (slider from 0 to 180°, step 0.017453292519943295)
β = 1.0471975511965976 rad (slider from 0 to 180°, step 0.017453292519943295)
A = (2, -4)
M = (6, -4)
M' = Rotate(M, α, A)
γ = Angle(M, A, M')
A' = Rotate(A, (-β), M)
δ = Angle(A', M, A)
g = Ray(A, M')
i = Ray(M, A')
f = Ray(A, M)
N = Intersect(g, i)
j = Segment(A, M)
k = Segment(M, N)
l = Segment(N, A)
e = Circle(A, h / 2)
B_1 = Intersect(e, f, 1)
C_1 = Intersect(e, g, 1)
m = OrthogonalLine(C_1, g)
n = OrthogonalLine(B_1, f)
O = Intersect(m, n)
c = Circle(O, C_1)
p = Line(N, M)
q = OrthogonalLine(O, p)
T = Intersect(c, q, 1)
r = OrthogonalLine(T, q)
B = Intersect(r, f)
C = Intersect(r, g)
t1, c_1, a, b = Polygon(A, B, C)