\text{Rytzova kontrukcia - nájdenie hlavnej a vedľajšej osi elipsy.

\text{1. Dané sú združené priemery }KL, MN.

\text{2.  }k \; ⟂ \;  KL; \; L'∈k:\left| SL \right| =\left| SL' \right|. 

\text{3. }O \text{ - stred úsečky }NL':\left|NO  \right| =\left|OL'  \right|. 

\text{4. Kružnica }ω=(O,r=ON); \;  P_1,P_2∈ω∩ \; \overleftrightarrow{ON}

\text{5. Hlavné poloosi elipsy: }SA≅P_1L',SC≅P_2L'.

6. \text{ Elipsa }(S,A,B,C,D)

S = Intersect(xAxis, yAxis)
L = (3.0138387918101386, -1.2204453098945076)
c = Circle(S, L)
N = (1.61437415556757, 1.1168049073353468)
d = Circle(S, N)
M = Mirror(N, S)
K = Mirror(L, S)
f = Segment(K, L)
g = Segment(M, N)
h = OrthogonalLine(S, f)
e = Circle(S, L)
L' = Intersect(e, h, 2)
r = Segment(L', N)
O = Midpoint(N, L')
i = Line(O, N)
k = Circle(O, S)
P_2, P_1 = Intersect(k, i)
j = Line(S, P_1)
l = Line(S, P_2)
b = Segment(L', P_2)
a = Segment(L', P_1)
p = Circle(S, Segment[P_1, L'])
q = Circle(S, Segment[L', P_2])
D, C = Intersect(q, l)
A, B = Intersect(p, j)
m = Segment(A, B)
n = Segment(D, C)
s = Conic(A, K, C, N, B)