tag:
algebraic_curves
\[\begin{array}{l} {\text{On plane }}Oxy{\text{ depict all points }}P\left( {x,y} \right){\text{ such that }}\left| {AP} \right| \cdot \left| {BP} \right| \cdot \left| {CP} \right| = 1, \hfill \\ {\text{where }}A\left( {1;0} \right),{\text{ }}B\left( { - \frac{1}{2};\frac{{\sqrt 3 }}{2}} \right),{\text{ }}C\left( { - \frac{1}{2}; - \frac{{\sqrt 3 }}{2}} \right). \hfill \\ \end{array} \]