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5. príklad 2. letnej série 2008/2009

Zadanie:
Dané sú kružnice $k_1$ a $k_2$, ktoré majú vonkajší dotyk v bode $T$. Bodom $T$ prechádzajú dve priamky $p$ a $q$ tak, že sú sečnicami oboch kružníc. Označme $A$ a $B$ priesečníky priamky $p$ s kružnicami $k_1$ a $k_2$ a $C$, $D$ priesečníky priamky $q$ s kružnicami $k_1$ a $k_2$, pričom body $A,B,C,D$ sú rôzne od $T$. Dokážte, že úsečka $AC$ je rovnobežná s úsečkou $BD$.


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