If the sides of a triangle are \( L_{r} \equiv x \cos \alpha_{r}+y \sin \alpha_{r}-p_{r}=0 \), \... VIDEO
If the sides of a triangle are \( L_{r} \equiv x \cos \alpha_{r}+y \sin \alpha_{r}-p_{r}=0 \), \( (r=1,2,3) \) then Prove that
Any line through the intersection of lines \( L_{1} \) and \( L_{2} \) and perpendicular to \( L_{3} \) is
\[
\frac{L_{1}}{\cos \alpha_{1} \cos \alpha_{3}+\sin \alpha_{1} \sin \alpha_{3}}=\frac{L_{2}}{\cos \alpha_{2} \cos \alpha_{3}+\sin \alpha_{2} \sin \alpha_{3}}
\]
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