\overleftrightarrow{A}

\overleftrightarrow{B}

\text{Strana: } | AB| =|\overleftrightarrow{A}\overleftrightarrow{B} |; \;  \overleftrightarrow{A}\overleftrightarrow{B} -ľub. 

\text{Určte uhol priamok }a,b: a=CD, b= PS

\text{ Ihlan s výškou }v=OV

a,b: μ(BEP)=-\frac{1}{3}, \;  μ(VES)=-1

a'∥a, b'∥b: P∈a'∩b'

A

B

E

\text{Skut. veľkosť }ABCDEF⊂ \text{ nákresňa}

P

V

S

P_{1} = (0.15791592195121826, 8.120377369756099, 0)
E: (x(P_{1}), y(P_{1}), -3)
Q = (-5.4049584532683035, 7.534811646048782)
u = Vector(P_{1}, E)
F = Translate(Q, u)
mnohouholník1, f, g, h, i, j, k, A, B, C, D = Polygon(E, F, 6, xOyPlane)
a_{1}, V, stenaEFI, stenaAFI, stenaABI, stenaBCI, stenaCDI, stenaDEI, hranaEI, hranaFI, hranaAI, hranaBI, hranaCI, hranaDI = Pyramid(mnohouholník1, 8)
l = Segment(B, E)
O = Midpoint(B, E)
j_1 = Segment(O, V)
S = Midpoint(E, V)
P = Midpoint(B, O)
a = Line(C, D)
b = Line(P, S)
a' = Line(P, a)
H = (-1.5987812491707352, 10.128031279609756)
I = Point(Circle[H, h])
m = Segment(H, I)
mnohouholník2, n, p, q, r, s, t, J, K, L, M = Polygon(H, I, 6)
c = Segment(L, I)
N = Midpoint(L, I)
O_{1} = Midpoint(I, N)
d = OrthogonalLine(N, c)
e = Circle(N, Distance[O, V])
R = Intersect(e, d, 2)
f_1 = Segment(L, R)
T = Midpoint(L, R)
g_1 = Line(O_{1}, T)
h_1 = Line(I, L)
α = Angle(h_1, g_1)
text9: "\text{Skut. veľkosť }∡(a,b)=" + (LaTeX[α]) + ""
β = Angle(b, a')