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Infinite points of the altitudes

Q080 is the envelope of the directrices of circum-parabolas.

Q080 is a sextic tritangent to the line at infinity at the infinite points of the altitudes of ABC.

Q080 contains the four in/excenters which are nodes. I is always an isolated point on the curve. This means that there are always two parabolas with directrices passing through one of these in/excenters.