Beweiselement zur Keplerregel
Author: Haftendorn
Date: Apr. 06

Beweiselement zur Kepler-Regel

Ha 06

Bewege A und B, variiere a

a = 0.5000000000000001
f(x) = a x²
A = Point(f)
b = Tangent(A, f)
B = Point(f)
c = Line(B, b)
C, D = Intersect(f, c)
d = Line(B, yAxis)
e = Line(D, yAxis)
E = Intersect(d, b)
F = Intersect(e, b)
g(x) = (y(F) - y(E)) / (x(F) - x(E)) (x - x(E)) + y(E)
P, e_1, f_1, d_1, b_1 = Polygon(E, F, D, B)
T1: "Kastenfläche= " + P
h = Integral(f, g, x(E), x(F))
T2: "Ein Drittel Kasten = " + (P / 3)
T3: "Integral= " + h