β_1

γ_1

α

β_2

δ

γ_2

β_1

γ_1

γ_2

α

δ

β_2

SUMA MIAR KĄTÓW W CZWOROKĄCIE

pokaż kąty czworokąta

$Suma \; miar \;  kątów \; w \;  czworokącie$
                       $wynosi \; \textcolor{red}{  360^0}$

pokaż

180^0

180^0

A = (-7.801212656894098, -4.1549924641609275)
B = (8.461180614690852, 2.331164389823816)
C = (-0.2810307972016355, 11.637389441193228)
D = (-11.467301313494172, 6.608267822523899)
wielokąt1, a, b, c, d = Polygon(A, B, C, D)
e = Segment(D, B)
α = Angle(A, D, B)
β = Angle(D, B, A)
γ = Angle(B, A, D)
δ = Angle(B, D, C)
ε = Angle(D, C, B)
ζ = Angle(C, B, D)
A_1 = (-0.8876186511376362, 11.385083770012704)
B_1 = (14.112381348862362, 11.385083770012704)
D_1 = (5.112381348862364, 22.3850837700127)
e_1 = Segment(D_1, B_1)
A_2 = (-1, 11)
B_2 = (14, 11)
D_2 = (5, 22)
e_2 = Segment(D_2, B_2)
A_3: D
B_3 = (12.138179519131182, 12.859418993393257)
D_3 = (3.1381795191311794, 23.85941899339326)
e_3 = Segment(D_3, B_3)
A_4 = (-2.5242668633030805, 11.876667954910715)
B_4 = (12.475733136696922, 11.876667954910715)
D_4 = (1.6139126558280923, 23.736086948303953)
e_4 = Segment(D_4, B_4)
A_5: D_4
E = (24.180924399809353, 2.006429264064371)
F = (26, 10)
f = Circle(E, F)
G = Point(f)
g = Segment(E, G)
E' = Rotate(E, γ, E)
G' = Rotate(G, γ, E)
g' = Segment(E', G')
E'' = Rotate(E', α, E)
G'' = Rotate(G', α, E)
g'' = Segment(E'', G'')
E''' = Rotate(E'', β, E)
G''' = Rotate(G'', β, E)
g''' = Segment(E''', G''')
H = Rotate(E''', ζ, E)
I = Rotate(G''', ζ, E)
h = Segment(H, I)
H' = Rotate(H, δ, E)
I' = Rotate(I, δ, E)
h' = Segment(H', I')
H'' = Rotate(H', ε, E)
I'' = Rotate(I', ε, E)
h'' = Segment(H'', I'')
η = Angle(G', E, G'')
θ = Angle(G'', E, G''')
ι = Angle(G''', E, I)
κ = Angle(G, H, G')
λ = Angle(I', H, G)
μ = Angle(I, H, I')
krok = 3 (slider from 0 to 9, step 1)
ν = Angle(G''', H, G)
ξ = Angle(G, H, G''')
i = false