Hilfestellung

Tipp 2

Tipp 1

Hinweis

Beschreibe Aussage des Satzes von Pythagoras an der Beweis-
skizze von A. Schopenhauer.

Ziehe den Schiebeschalter 'Drehung' nach rechts.

Verändere die Einstellung des Schiebeschalters 'Winkel_α'.

Beweis nach Arthur Schopenhauer

Welche grundlegende Kritik muss man bei Schopenhauers Beweis
anbringen?

AA1 = (-0.8154185022026412, 7.042007289333701)
NN1: (x(AA1) + 0.5, y(AA1))
EE1: (x(AA1) + 1, y(AA1))
AA2: (x(AA1) + 1.5, y(AA1))
NN2: (x(AA1) + 2, y(AA1))
EE2: (x(AA1) + 2.5, y(AA1))
AA3: (x(AA1) + 3, y(AA1))
NN3: (x(AA1) + 3.5, y(AA1))
EE3: (x(AA1) + 4, y(AA1))
ss_1 = Segment(AA1, EE1)
ss_2 = Segment(AA2, EE2)
ss_3 = Segment(AA3, EE3)
MM1 = Point(ss_1)
MM2 = Point(ss_2)
AA4: (x(AA1) + 4.5, y(AA1))
NN4: (x(AA1) + 5, y(AA1))
EE4: (x(AA1) + 5.5, y(AA1))
ss_4 = Segment(AA4, EE4)
Lösung11 = false
ll_1 = Segment(AA1, NN1)
ll_2 = Segment(AA2, NN2)
rr_1 = Segment(NN1, EE1)
rr_2 = Segment(NN2, EE2)
Lösung21 = false
A = (2.8493392070484607, 3.4032407695099107)
B = (-1.465198237885461, 3.4292319589372213)
a_2 = Segment(A, B)
c_2 = Semicircle(A, B)
Winkel_α = 0.7853981633974483 rad (slider from 0.5235987755982988 to 1.0471975511965976, step 0.017453292519943295)
B' = Rotate(B, Winkel_α, A)
α = Angle(B, A, B')
b_2 = Ray(A, B')
C_1, C = Intersect(c_2, b_2)
d = OrthogonalLine(B, a_2)
e = OrthogonalLine(A, a_2)
P_2 = Intersect(b_2, d)
f = OrthogonalLine(P_2, e)
P_3 = Intersect(e, f)
g = Segment(B, P_3)
P_4 = Mirror(C, e)
P_1 = Mirror(C, d)
h = Segment(P_2, P_1)
i = Segment(P_1, B)
j = Segment(A, P_4)
k = Segment(P_3, P_4)
l = Segment(P_2, A)
m = Segment(P_2, B)
n = Segment(P_2, P_3)
p = Segment(P_3, A)
rw3eck, a, b, c = Polygon(B, C, A)
q = Segment(C, P_2)
r = Segment(C, P_3)
γ = Angle(A, C, B)
aQuLi, li_3, li_2, li_1 = Polygon(B, P_2, P_1)
bQuRe, re_2, re_1, re_3 = Polygon(P_3, P_4, A)
Drehung = 0 rad (slider from 0 to 1.5707963267948966, step 0.017453292519943295)
Q_B = Rotate(B, Drehung, B)
Q_2 = Rotate(P_2, Drehung, B)
Q_1 = Rotate(P_1, Drehung, B)
aQuDreh, e_1, b'_1, d_1 = Polygon(Q_B, Q_2, Q_1)
Q_3 = Rotate(P_3, Drehung, P_3)
Q_4 = Rotate(P_4, Drehung, P_3)
Q_A = Rotate(A, Drehung, P_3)
bQuDreh, a', f_1, g_1 = Polygon(Q_3, Q_4, Q_A)
bQuLi, c_1, p_5, a_3 = Polygon(P_3, A, C)
aQuRe, b_3, p_6, c_3 = Polygon(P_2, C, B)