Neka su
![p](/media/m/1/c/8/1c85c88d10b11745150467bf9935f7de.png)
i
![q](/media/m/c/1/d/c1db9b1124cc69b01f9a33595637de69.png)
dva paralelna pravca. Kružnica
![k](/media/m/f/1/3/f135be660b73381aa6bec048f0f79afc.png)
dodiruje pravac
![p](/media/m/1/c/8/1c85c88d10b11745150467bf9935f7de.png)
u točki
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
i siječe pravac
![q](/media/m/c/1/d/c1db9b1124cc69b01f9a33595637de69.png)
u različitim točkama
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
i
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
. Neka je
![T](/media/m/0/1/6/016d42c58f7f5f06bdf8af6b85141914.png)
točka na pravcu
![p](/media/m/1/c/8/1c85c88d10b11745150467bf9935f7de.png)
i neka dužine
![\overline{TB}](/media/m/4/c/c/4ccd8379b9be85baae4cec4fafee1a32.png)
i
![\overline{TC}](/media/m/1/2/a/12a9a0666c5ecf08fec1d179366bcfe7.png)
sijeku kraći luk
![AC](/media/m/6/4/7/647ef3a5d68f07d59d84afe03a9dc655.png)
redom u točkama
![K](/media/m/e/1/e/e1ed1943d69f4d6a840e99c7bd199930.png)
i
![L](/media/m/f/c/1/fc1ae4eb78da7d1352cbf1f8217ab286.png)
, različitima od
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
i
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
.
Dokaži da pravac
![KL](/media/m/b/1/a/b1ab64b407588444cd365224f9b482b4.png)
prolazi polovištem dužine
![\overline{AT}](/media/m/7/d/9/7d97b6f3597a7182bb46e658b6cb82c2.png)
.
%V0
Neka su $p$ i $q$ dva paralelna pravca. Kružnica $k$ dodiruje pravac $p$ u točki $A$ i siječe pravac $q$ u različitim točkama $B$ i $C$. Neka je $T$ točka na pravcu $p$ i neka dužine $\overline{TB}$ i $\overline{TC}$ sijeku kraći luk $AC$ redom u točkama $K$ i $L$, različitima od $B$ i $C$.
Dokaži da pravac $KL$ prolazi polovištem dužine $\overline{AT}$.