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On the envelope of the axes of a system of conics passing through three fixed points

On the envelope of the axes of a system of conics passing through three fixed points

In a recent nunmberof the Annials of Mathematicst I haveshownthat the envelope of the asymptotes of a system of conies passing through three fixed points consists of two three-cusped hypocycloids, touching the three straight lines that join the three fixed points in pairs. I propose now to show that the …