a

c

Variable zeigen

Variable zeigen

Variable zeigen

Summe\;der\;Teilflächen=Gesamtfläche

Variable zeigen

Variable zeigen

Variable zeigen

Flächeninhalt Sechseck

(3 + b) 5 - b 2

(3*5)+(3*b)

((b+3)*2)+(3*2)

b=

Flächeninhalt[Vieleck3]

Flächeninhalt

A = Intersect(xAxis, yAxis)
a = 8 (slider from 2 to 8, step 1)
b = 5 (slider from 0 to 20, step 1)
c = 7 (slider from 1 to 7, step 1)
B: (0, c)
C: (a, 0)
D: (b + a, 0)
E: (a, c)
F: (b + a, c)
Vieleck1, a_1, c_2, e, b_1 = Polygon(A, C, E, B)
J = Midpoint(b_1)
K = Midpoint(a_1)
M = Midpoint(B, F)
N = Midpoint(A, E)
P = Midpoint(C, F)
g = false
h = true
k = false
i = Segment(B, F)
Text1: "" + (LaTeX[If[g, "a", Text[a]]]) + ""
Text2: "" + (LaTeX[If[h, "b", Text[b]]]) + ""
Text4: "" + (LaTeX[If[k, "c", Text[c]]]) + ""
Text3: "" + (LaTeX[If[g ∨ h, Text1]]) + "" + (LaTeX[If[g ∨ h, "\;+\;"]]) + "" + (LaTeX[If[g ∨ h, Text2]]) + "" + (LaTeX[If[(¬g) ∧ (¬h), a + b]]) + ""
j = Segment(A, B)
l = Segment(C, E)
m = Segment(D, F)
n = Segment(A, C)
p = Segment(C, D)
Text5: "" + (LaTeX[Text1]) + "\cdot " + (LaTeX[Text4]) + ""
Text7: "" + (LaTeX[Text4]) + ""
Text8: "" + (LaTeX[Text2]) + "\cdot " + (LaTeX[Text4]) + ""
Text6: "" + (LaTeX[If[g ∨ h, "("]]) + " " + (LaTeX[Text3]) + "" + (LaTeX[If[g ∨ h, ")"]]) + "\cdot " + (LaTeX[Text4]) + ""
Text10: "" + (LaTeX[Text5]) + "+" + (LaTeX[Text8]) + "=" + (LaTeX[Text6]) + ""
Text11: "Gesamtfläche\;=\; " + (LaTeX[Text6]) + ""
G = Point(c_2)
B_1: (0, c)
C_1: (a, 0)
D_1: (b + a, 0)
E_1: (a, c)
F_1: (b + a, c)
P_1 = Midpoint(C_1, F_1)
l_1 = Segment(C_1, E_1)
m_1 = Segment(D_1, F_1)
p_1 = Segment(C_1, D_1)
O = Point(Circle[G, b])
q = Segment(G, O)
Vieleck3, b_2, a_2, d_1, o, g_1, e_2 = Polygon(B, A, D, O, G, E)
B_2: (0, c)
C_2: (a, 0)
D_2: (b + a, 0)
E_2: (a, c)
F_2: (b + a, c)
g_2 = false
h_1 = true
k_1 = false
Text1_1: "" + (LaTeX[If[g_2, "a", Text[a]]]) + ""
Text2_1: "" + (LaTeX[If[h_1, "b", Text[b]]]) + ""
Text4_1: "" + (LaTeX[If[k_1, "c", Text[c]]]) + ""
Text3_1: "" + (LaTeX[If[g_2 ∨ h_1, Text1_1]]) + "" + (LaTeX[If[g_2 ∨ h_1, "\;+\;"]]) + "" + (LaTeX[If[g_2 ∨ h_1, Text2_1]]) + "" + (LaTeX[If[(¬g_2) ∧ (¬h_1), a + b]]) + ""
Text6_1: "" + (LaTeX[If[g_2 ∨ h_1, "("]]) + " " + (LaTeX[Text3_1]) + "" + (LaTeX[If[g_2 ∨ h_1, ")"]]) + "\cdot " + (LaTeX[Text4_1]) + ""
Text11_1: "Gesamtfläche\;=\; " + (LaTeX[Text6_1]) + ""
B_3: (0, c)
C_3: (a, 0)
D_3: (b + a, 0)
E_3: (a, c)
F_3: (b + a, c)
A4 = 1
A5 = 2
A6: (2 * A5) - A4
A7: (2 * A6) - A5
A8: (2 * A7) - A6
A9: (2 * A8) - A7
A10: (2 * A9) - A8
A11: (2 * A10) - A9
A12: (2 * A11) - A10
A13: (2 * A12) - A11
A14: (2 * A13) - A12
A15: (2 * A14) - A13
A16: (2 * A15) - A14
A17: (2 * A16) - A15
B4: ((3 + A4) * 5) - (A4 * 2)
B5: ((3 + A5) * 5) - (A5 * 2)
B6: ((3 + A6) * 5) - (A6 * 2)
B7: ((3 + A7) * 5) - (A7 * 2)
B8: ((3 + A8) * 5) - (A8 * 2)
B9: ((3 + A9) * 5) - (A9 * 2)
B10: ((3 + A10) * 5) - (A10 * 2)
B11: ((3 + A11) * 5) - (A11 * 2)
B12: ((3 + A12) * 5) - (A12 * 2)
B13: ((3 + A13) * 5) - (A13 * 2)
B14: ((3 + A14) * 5) - (A14 * 2)
B15: ((3 + A15) * 5) - (A15 * 2)
B16: ((3 + A16) * 5) - (A16 * 2)
B17: ((3 + A17) * 5) - (A17 * 2)
C4: 15 + (3 * A4)
C5: 15 + (3 * A5)
C6: 15 + (3 * A6)
C7: 15 + (3 * A7)
C8: 15 + (3 * A8)
C9: 15 + (3 * A9)
C10: 15 + (3 * A10)
C11: 15 + (3 * A11)
C12: 15 + (3 * A12)
C13: 15 + (3 * A13)
C14: 15 + (3 * A14)
C15: 15 + (3 * A15)
C16: 15 + (3 * A16)
C17: 15 + (3 * A17)
E1_1 = Name(b)
E1 = Name(b)
PunktVieleck3 = PointIn(Vieleck3)
F1_1: "Fläche von  " + (Name[B]) + (Name[A]) + (Name[D]) + (Name[O]) + (Name[G]) + (Name[E]) + " = " + " ... "
F1_2: "Fläche von  " + (Name[B]) + (Name[A]) + (Name[D]) + (Name[O]) + (Name[G]) + (Name[E]) + " = " + " ... "
D4: ((A4 + 3) * 3) + 6
D5: ((A5 + 3) * 3) + 6
D6: ((A6 + 3) * 3) + 6
D7: ((A7 + 3) * 3) + 6
D8: ((A8 + 3) * 3) + 6
D9: ((A9 + 3) * 3) + 6
D10: ((A10 + 3) * 3) + 6
D11: ((A11 + 3) * 3) + 6
D12: ((A12 + 3) * 3) + 6
D13: ((A13 + 3) * 3) + 6
D14: ((A14 + 3) * 3) + 6
D15: ((A15 + 3) * 3) + 6
D16: ((A16 + 3) * 3) + 6
D17: ((A17 + 3) * 3) + 6
E2 = 5
E3 = 4
E4 = 3
E5 = 2
E6 = 3
E7 = 4
E8 = 3
E9 = 4
E10 = 5
E11 = 6
E12 = 7
E13 = 8
E14 = 9
E15 = 10
Q = Point(Circle[A, a])
r = Segment(A, Q)
s = 6 (slider from 0 to 20, step 1)
R = Point(Circle[A, s])
t = Segment(A, R)
S = Point(Circle[D, s - 3])
f_1 = Segment(D, S)
T = Point(Circle[Q, s - 3])
i_1 = Segment(Q, T)
U = Point(Circle[Q, s])
j_1 = Segment(Q, U)
Vieleck4, r_1, a_3, d_2, s_1, t_1, u = Polygon(R, A, D, S, T, U)
F1_3: "Fläche von  " + (Name[B]) + "" + (Name[A]) + "" + (Name[D]) + "" + (Name[O]) + "" + (Name[G]) + "" + (Name[E]) + " = " + " ... " + ""
F1: "Fläche von  " + (Name[B]) + "" + (Name[A]) + "" + (Name[D]) + "" + (Name[O]) + "" + (Name[G]) + "" + (Name[E]) + " = " + " ... " + ""
V = Midpoint(R, A)
funktio(b) = ((3 + b) * 5) - (b * 2)
H = Point(funktio)
A21: b
I = Point(yAxis)
L = Point(yAxis)
d = Line(I + b, L + b)
W = Intersect(d, yAxis)
Z = Intersect(d, yAxis)
A_1 = Intersect(funktio, d)
G_1 = Midpoint(T, S)