Sestrojte kružnici v rovině  ρ( -6, 8, 5) se středem S (3, 5, ?) a poloměrem r = 4 

skrýt půdorys

skrýt půdorys

skrýt půdorys kružnice

skrýt nárys kružnice

X = Point(xAxis)
Y = Point(yAxis)
Z = PointIn(ný)
a = Plane(X, Y, Z)
p_ρ = Ray(X, Y)
n_ρ = Ray(X, Z)
S_1 = (3, -5, 0)
b = Line(S_1, p_ρ)
N_1 = Intersect(b, xAxis)
h_1ρ = Ray(N_1, S_1)
c = OrthogonalLine(N_1, xOyPlane)
N_2 = Intersect(n_ρ, c)
d = Segment(N_1, N_2)
e = Line(N_2, p_ρ)
f = OrthogonalLine(S_1, xOyPlane)
S = Intersect(f, a)
h_ρ = Ray(N_2, S)
g = Segment(S_1, S)
r = OrthogonalLine(S, ný)
E = Intersect(r, ný)
S_2 = Intersect(r, ný)
s = Segment(S, E)
h_2ρ = Ray(N_2, E)
h = Line(S, n_ρ)
P_1 = Intersect(h, p_ρ)
f_ρ = Ray(P_1, S)
i = OrthogonalLine(S, a)
k = Circle(S, 4, i)
A, B = Intersect(h_ρ, k)
K, L = Intersect(f_ρ, k)
j = OrthogonalLine(S, p_ρ, space)
C, D = Intersect(j, k)
P = Intersect(j, p_ρ)
l = Segment(C, D)
α = Angle(C, S, B)
m = Segment(D, P)
n = OrthogonalLine(S, n_ρ, space)
F = Intersect(n, a)
G = Intersect(n, xOyPlane)
H = Intersect(n, xOyPlane)
I = Intersect(a, k)
J, M = Intersect(n, k)
N = Intersect(n, n_ρ)
p = Segment(M, N)
q = Segment(J, M)
β = Angle(J, S, L)
t = OrthogonalLine(A, xOyPlane)
a_1 = OrthogonalLine(D, xOyPlane)
b_1 = OrthogonalLine(B, xOyPlane)
c_1 = OrthogonalLine(C, xOyPlane)
A_1 = Intersect(t, xOyPlane)
D_1 = Intersect(a_1, xOyPlane)
B_1 = Intersect(b_1, xOyPlane)
C_1 = Intersect(c_1, xOyPlane)
d_1 = OrthogonalLine(K, xOyPlane)
K_1 = Intersect(d_1, xOyPlane)
f_1 = Conic(B_1, C_1, K_1, A_1, D_1)
g_1 = Segment(D_1, C_1)
h_1 = OrthogonalLine(M, ný)
i_1 = OrthogonalLine(K, ný)
j_1 = OrthogonalLine(J, ný)
k_1 = OrthogonalLine(L, ný)
L_2 = Intersect(k_1, ný)
K_2 = Intersect(i_1, ný)
M_2 = Intersect(h_1, ný)
J_2 = Intersect(j_1, ný)
e_1 = OrthogonalLine(C, ný)
C_2 = Intersect(e_1, ný)
p_1 = Conic(K_2, C_2, M_2, L_2, J_2)
m_1 = Segment(M_2, J_2)
fr = Line(L_2, K_2)
P_2 = Intersect(xAxis, fr)
f_2ρ = Ray(P_2, E)
w = Segment(P_1, P_2)
o = true
u = true
v = true
l_1 = true