↑ P↓

\text{Zostrojte obraz kružnice }k(O,r=OM) \text{ v stredovej kolineácii }\mathscr{K}(S,o,u).

1

1. \; \text{Zvoľme ľub. body: }L∈k,1∈o

2. \; \text{Úbežník }U=\overleftrightarrow{1L}∩u

3.  \; \text{Bod }(1=1')∈\mathscr{K}(\overleftrightarrow{1L}) \; ∧ \; \mathscr{K}(\overleftrightarrow{1L}) ∥\overleftrightarrow{SU}=\overrightarrow{v}

4. \; \text{Odkiaľ: }\mathscr{K}(L)=L'∈\overleftrightarrow{SL}

5. \; \text{Kužeľosečka ako množina bodov: }\left\{ L'→L \right\} 

B: (11, 0)
A: (-10, 0)
o = Line(A, B)
E = Point(o)
l = OrthogonalLine(E, o)
S = Point(yAxis)
P = Point(l)
u = Line(P, o)
M = (-2.509236109090913, 2.567311163636374)
O = Point(yAxis)
k = Circle(O, M)
L = Point(k)
D = Point(o)
g = Line(L, D)
U = Intersect(u, g)
h = Line(S, U)
i = Line(D, h)
v = Vector(S, U)
f = Line(S, L)
L' = Intersect(f, i)
GMB1 = Locus(L', L)
j = Line(S, O)