Kružnice
![k_1](/media/m/3/5/6/35656cbf3adb55dddd30996fc068363b.png)
i
![k_2](/media/m/6/a/b/6abbe24dbf6713b55498fe55ab050d06.png)
sijeku se u točkama
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
i
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
. Pravac
![l](/media/m/e/e/9/ee975101080f37986f56baaf4c3cdcd2.png)
siječe kružnicu
![k_1](/media/m/3/5/6/35656cbf3adb55dddd30996fc068363b.png)
u točkama
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
i
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
, a kružnicu
![k_2](/media/m/6/a/b/6abbe24dbf6713b55498fe55ab050d06.png)
u točkama
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
i
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
tako da se točka
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
nalazi između
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
i
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
, a točka
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
između
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
i
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
. Pravci
![CA](/media/m/a/a/e/aaec86bc003cfdb64d54116a4cabd387.png)
i
![BF](/media/m/4/d/4/4d4fbb8bdcff87c5df52488beb896501.png)
sijeku se u točki
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
, a pravci
![DA](/media/m/a/0/8/a081cf3dbb7eaedd62ea487a4cd46956.png)
i
![BE](/media/m/e/e/2/ee25cd134664bc0c8d7fdbba81e54f90.png)
u točki
![H](/media/m/4/c/0/4c0872a89da410a25f00b86366efece7.png)
.
Dokaži da je
![CF \parallel HG](/media/m/e/7/e/e7e6f2d46147061279e6d7e361faa36a.png)
.
%V0
Kružnice $k_1$ i $k_2$ sijeku se u točkama $A$ i $B$. Pravac $l$ siječe kružnicu $k_1$ u točkama $C$ i $E$, a kružnicu $k_2$ u točkama $D$ i $F$ tako da se točka $D$ nalazi između $C$ i $E$, a točka $E$ između $D$ i $F$. Pravci $CA$ i $BF$ sijeku se u točki $G$, a pravci $DA$ i $BE$ u točki $H$.
Dokaži da je $CF \parallel HG$.