Übersicht über die Viereckstypen
Author: Mag.G.Wengler

Du siehst eine Übersicht über die Arten von Vierecken.
Du kannst verschiedene Merkmale sichtbar machen, indem die Kontrollkästchen betätigst.
Was drücken die Pfeile aus?
Für die Konstruktion des Vierecktyps kannst du außerdem anzeigen lassen,
wieviele Bestimmungsstücke man jeweils braucht.

D

A

B

C

5

4

3

2

1

Vierecke

Quadrat

Raute

Rechteck

Deltoid

Parallelogramm

gleichschenkliges Trapez

Schiefdrache

Trapez

allgemeines Viereck

β

α

f

e

Bestimmungsstücke

Winkel

Diagonalen

Mittellinien

z.B.: a, b, c, β, γ

Trapez z.B.: a, b, α, β
Schiefdrache z.B.: a, b, c, e

gl.Trapez z.B.: a, b, α
Parallelogramm z.B.: a, b, β
Dltoid z.B.: a, e, f

Rechteck z.B.: a, b
Raute z.B.: a, α

Quadrat z.B.: a

Umkreis

Inkreis

A = (5, 16.9)
B = (4, 14.9)
C = (7, 13.9)
D = (8, 14.9)
Vieleck1, d, a, b, c = Polygon(A, B, C, D)
E = (2.078672246521497, 12.726359140161923)
F = (1.078672246521497, 10.726359140161923)
G = (5.078672246521501, 10.726359140161923)
H = (3.178672246521497, 12.726359140161923)
Vieleck2, e, f, g, h = Polygon(E, F, G, H)
fünf = true
vier = true
I = Midpoint(h)
J = Midpoint(f)
i = Segment(I, J)
K = (8.5, 11.82334030815187)
L = (9.5, 13.82334030815187)
M = (10.5, 12.82334030815187)
N = (9.5, 9.82334030815187)
Vieleck3, k, l, m, n = Polygon(K, L, M, N)
j = Segment(L, N)
p = Segment(K, M)
O = (5.132997907554439, 8.726359140161932)
P = (4.132997907554439, 6.726359140161924)
Q = (8.132997907554437, 6.726359140161924)
R = (9.132997907554437, 8.726359140161932)
Vieleck4, o, p_1, q, r = Polygon(O, P, Q, R)
S = (0.17364085983807453, 8.927365417498628)
T = (-0.8263591401619255, 6.927365417498608)
U = (2.1736408598380748, 6.927365417498608)
V = (1.1736408598380745, 8.927365417498628)
Vieleck5, s, t, u, v = Polygon(S, T, U, V)
W = (11.377665969184813, 9.369014647118938)
Z = (10.377665969184813, 8.369014647118938)
A_1 = (11.377665969184813, 6.369014647118931)
B_1 = (12.377665969184813, 8.369014647118938)
Vieleck6, w, z, a_1, b_1 = Polygon(W, Z, A_1, B_1)
C_1 = Midpoint(v)
D_1 = Midpoint(t)
E_1 = Midpoint(r)
F_1 = Midpoint(p_1)
c_1 = Segment(E_1, F_1)
G_1 = Midpoint(o)
H_1 = Midpoint(q)
d_1 = Segment(G_1, H_1)
e_1 = Segment(O, Q)
f_1 = Segment(P, R)
g_1 = Segment(W, A_1)
h_1 = Segment(C_1, D_1)
I_1 = (1, 4.9)
J_1 = (1, 2.9)
K_1 = (4, 2.9)
L_1 = (4, 4.9)
Vieleck7, i_1, j_1, k_1, l_1 = Polygon(I_1, J_1, K_1, L_1)
M_1 = (7, 3.9)
N_1 = (9, 4.9)
O_1 = (11, 3.9)
P_1 = (9, 2.9)
Vieleck8, m_1, n_1, o_1, p_2 = Polygon(M_1, N_1, O_1, P_1)
Q_1 = (5.044668061630374, 1.8883298459240643)
R_1 = (5.044668061630374, -0.11167015407593561)
S_1 = (7.044668061630374, -0.11167015407593561)
T_1 = (7.044668061630374, 1.8883298459240643)
Vieleck9, q_1, r_1, s_1, t_1 = Polygon(Q_1, R_1, S_1, T_1)
drei = true
zwei = false
eins = false
U_1 = Midpoint(l_1)
V_1 = Midpoint(j_1)
W_1 = Midpoint(i_1)
Z_1 = Midpoint(k_1)
A_2 = Midpoint(m_1)
B_2 = Midpoint(n_1)
C_2 = Midpoint(p_2)
D_2 = Midpoint(o_1)
E_2 = Midpoint(t_1)
F_2 = Midpoint(s_1)
G_2 = Midpoint(r_1)
H_2 = Midpoint(q_1)
a_2 = Segment(Z, B_1)
b_2 = Segment(U_1, V_1)
c_2 = Segment(W_1, Z_1)
d_2 = Segment(J_1, L_1)
e_2 = Segment(I_1, K_1)
f_2 = Segment(N_1, P_1)
g_2 = Segment(M_1, O_1)
h_2 = Segment(A_2, D_2)
i_2 = Segment(C_2, B_2)
j_2 = Segment(E_2, G_2)
k_2 = Segment(H_2, F_2)
l_2 = Segment(R_1, T_1)
m_2 = Segment(Q_1, S_1)
α = Angle(D, C, B)
β = Angle(C, B, A)
I_2 = Intersect(j, p)
J_2 = Intersect(g_1, a_2)
K_2 = Intersect(f_1, e_1)
L_2 = Intersect(i_2, h_2)
M_2 = Intersect(d_2, e_2)
N_2 = Intersect(l_2, m_2)
n_2 = Segment(E, G)
q_2 = Segment(F, H)
r_2 = Segment(A, C)
s_2 = Segment(B, D)
γ = Angle(A, D, C)
δ = Angle(B, A, D)
ε = Angle(U, T, S)
ζ = Angle(V, U, D_1)
η = Angle(T, S, V)
θ = Angle(S, V, U)
ι = Angle(Q, P, O)
κ = Angle(O, R, Q)
λ = Angle(P, O, R)
μ = Angle(R, Q, P)
ν = Angle(A_1, Z, W)
ξ = Angle(W, B_1, A_1)
ο = Angle(K_1, J_1, I_1)
ρ = Angle(J_1, I_1, L_1)
σ = Angle(I_1, L_1, K_1)
τ = Angle(L_1, K_1, J_1)
υ = Angle(P_1, M_1, N_1)
ϕ = Angle(N_1, O_1, P_1)
χ = Angle(O_1, P_1, M_1)
ψ = Angle(M_1, N_1, O_1)
ω = Angle(S_1, R_1, Q_1)
α_1 = Angle(R_1, Q_1, T_1)
β_1 = Angle(Q_1, T_1, S_1)
γ_1 = Angle(T_1, S_1, R_1)
u_1 = false
δ_1 = Angle(G, F, E)
ε_1 = Angle(F, E, H)
ζ_1 = Angle(H, G, F)
η_1 = Angle(E, H, G)
O_2 = (5.125390538301407, 13.246579158926199)
P_2 = (4.1873612440635455, 11.973539402460531)
v_1 = Vector(O_2, P_2)
Q_2 = (7.7384721436783055, 13.603923651969193)
R_2 = (8.47549516057948, 12.576558234470584)
w_1 = Vector(Q_2, R_2)
S_2 = (8.676501437916167, 10.655831584364492)
T_2 = (7.6044679587871835, 8.89144314996471)
z_1 = Vector(S_2, T_2)
U_2 = (10.15054747171852, 10.365489183767057)
V_2 = (10.664230180467825, 8.980779273225455)
u_2 = Vector(U_2, V_2)
W_2 = (3.4950062887927436, 10.075146783169627)
Z_2 = (4.812714106888786, 8.779772995888774)
v_2 = Vector(W_2, Z_2)
A_3 = (2.8919874567826893, 10.030478721539254)
B_3 = (2.0432942858055765, 8.668102841812837)
w_2 = Vector(A_3, B_3)
C_3 = (0.07789957406910573, 5.04998984975252)
D_3 = (0.5469142211880363, 3.7322820316564793)
z_2 = Vector(C_3, D_3)
E_3 = (6.041085801724082, 5.876348989914444)
F_3 = (4.343699459769856, 4.982987757306959)
t_2 = Vector(E_3, F_3)
G_3 = (6.554768510473386, 5.854014959099257)
H_3 = (7.649136020417558, 4.89365163404621)
u_3 = Vector(G_3, H_3)
I_3 = (3.0706597033041874, 2.481576306006)
J_3 = (4.611707829552102, 1.1415344570947719)
v_3 = Vector(I_3, J_3)
K_3 = (8.9668438385136, 2.2135679362237544)
L_3 = (7.448129743080873, 1.0298643030188361)
w_3 = Vector(K_3, L_3)
M_3 = (10.55256002639189, 6.76971022252193)
N_3 = (9.815537009490713, 5.027655818937333)
z_3 = Vector(M_3, N_3)
o_2 = false
a_3 = Segment(S, U)
b_3 = Segment(T, V)
c_3 = false
d_3 = false
e_3 = LineBisector(u)
O_3 = Intersect(e_3, h_1)
f_3 = Circle(O_3, V)
g_3 = Circle(M_2, K_1)
h_3 = Circle(N_2, T_1)
i_3 = AngularBisector(W, B_1, A_1)
P_3 = Intersect(i_3, g_1)
j_3 = OrthogonalLine(P_3, a_1)
Q_3 = Intersect(j_3, a_1)
k_3 = Circle(P_3, Q_3)
l_3 = OrthogonalLine(L_2, n_1)
R_3 = Intersect(l_3, n_1)
p_3 = Circle(L_2, R_3)
S_3 = Intersect(t_1, j_2)
q_3 = Circle(N_2, S_3)
m_3 = false
n_3 = false