Bruch-Zahlen Produkt Definition
Author: Prof. Dr. Dörte Haftendorn
Date: Okt 06

Repräsentantenunabhängigkeit

\frac{x(A)}{y(A)} · \frac{x(B)}{y(B)}= \frac{ x(Prod) }{y(Prod) } 

Das falsche Produkt ist nicht repräsentantenunabhängig

falsches Produkt

falsch = (xz*xw)/(yz+yw)

Ha 06

Ortsgraden

A = (3, 6)
O = Intersect(xAxis, yAxis)
a = Line(O, A)
Z = Point(a)
B = (14, 4)
b = Line(O, B)
W = Point(b)
FP: (x(Z) * x(W), y(Z) + y(W))
w = Vector(O, Z)
z = Vector(O, W)
Prod: (x(W) * x(Z), y(W) * y(Z))
produkt = Vector(O, Prod)
C = Point(yAxis)
c = OrthogonalLine(C, yAxis)
d = Line(O, Prod)
S' = Intersect(d, c)
T2: "A= " + (x(A)) + "/" + (y(A))
T3: "B=" + (x(B)) + "/" + (y(B))
T4: "Prod=" + (x(Prod)) + "/" + (y(Prod)) + "=" + (x(Prod) / y(Prod))
D = Intersect(a, c)
E = Intersect(b, c)
u = Vector(C, D)
v = Vector(C, E)
e: u + v
f = OrthogonalLine(S', xAxis)
F = Intersect(f, xAxis)
g = Segment(S', F)
falschesProd = Vector(O, FP)
h = false
Ortslinie1 = Locus(FP, W)
Ortslinie2 = Locus(FP, Z)
i = false