d

d

d

Querschnitte

Rotationskörper

um die x-Achse

Die Lage von D ist beliebig.

H=(2a, 0)

Ha 2016

Roter Dichtungsring
=
rote Zylinderscheibe

a: 3
b: 2
A = (-3, 2)
B = (3, 2)
C = (-3, -2)
D_1 = (3, -2)
e: x^(2) / a^(2) + y^(2) / b^(2) = 1
i: x = 6
j: x = -6
O: (0, 0)
h_1(x) = (b * sqrt(x^(2) / a^(2) - 1))
h_2(x) = (-h_1(x))
g_1(x) = (b / a * x)
g_2(x) = (((-b)) / a * x)
g = IntegralBetween(g_1, h_1, a, (2 * a))
h = Integral(h_1, a, (2 * a))
k = IntegralBetween(0, h_2, a, (2 * a))
l = IntegralBetween(h_2, g_2, a, (2 * a))
m = IntegralBetween(g_1, g_2, 0, a)
E = Point(g_1)
D = Point(xAxis)
d = 0.5 (slider from -5 to 5, step 1)
F_2: (x(D) + d, 0)
f = OrthogonalLine(D, xAxis)
n = OrthogonalLine(F_2, xAxis)
c = IntegralBetween(g_1, h_1, x(D), x(F_2))
o = IntegralBetween(h_2, g_2, x(D), x(F_2))
K: (8 + d, b)
K' = Mirror(K, xAxis)
G: (8, b)
G' = Mirror(G, xAxis)
Vieleck1, g_3, g', k', k_1 = Polygon(G, G', K', K)
p = Line(A, B)
q = Line(C, D_1)
Vieleck2, a_1, b_1, d_1, c_1 = Polygon(A, B, D_1, C)
Vieleck3, a_2, b_2, d_2, c_2 = Polygon(A, B, D_1, C)
e_2: e
F = Point(c_1)
H_1 = Point(a_1)
I = Point(e)
J = Point(e_2)
Vieleck4, f_1, h_3, i_1, j_1 = Polygon(F, H_1, I, J)
H = Point(i)
randzy: Vieleck1
r: 317.1 / 395
L = (10, -4.22)
M = (11.7, -4.22)