\text{Zostrojte kružnicu, ktorá sa dotýka priamky a prechádza dvoma rôznymi bodmi.

$\mathcal p$

$\math B$

$\math A$

\text{Postup

$\math M$

1.  \; \text{Ak }μ(MAB) \text{, tak polkružnica } c \text{ je Tálesova

$\math T'$

2. \; \text{Bod }T'∈c: \; \overleftrightarrow{AT'} \; ⟂ \; MB

$\math T_1$

$\math T$

3. \; T,T_1∈p \; ∩ \; c

$\mathcal o$

4. \;o= \text{os }AB

$\math k$

$\math k_1$

5. \; \text{Kolmice:  }k \; ⟂ \; p \; ∧ \; T∈k; \;  \; k_1 \; ⟂ \; p \; ∧ \; T_1∈k_1

$\math S$

$\math S_1$

6. \; k=(S,r=\left|  ST\right| ; \; k_1=(S,r=\left|  S_1T_1\right| 

Q = (8.5, 1.5)
P = (0.5, 1.5)
p = Line(P, Q)
B = (6, 4.5)
A = (4.123322407174636, 2.4929340270931806)
f = Line(A, B)
M = Intersect(p, f)
c = Semicircle(M, B)
k = OrthogonalLine(A, f)
T' = Intersect(c, k, 1)
d = Circle(M, T')
T_1, T = Intersect(d, p)
o = LineBisector(A, B)
g = OrthogonalLine(T, p)
k_1 = OrthogonalLine(T_1, p)
S = Intersect(o, g)
e = Circle(S, T)
S_1 = Intersect(o, k_1)
h = Circle(S_1, T_1)