Projective generation of circumconics and inconics

Each point in the plane of ABC is associated with its tripolar line in a projectively invariant manner. Similarly a line can be associated with its tripole. A circumconic with perspector P can be generated as the tripoles of all the lines through P.

Similarly an inconic with perspector the tripole of line m, can be generated as the envelope of tripolars of all the points on line m.