Excerpt from The Poles of a Right Line With Respect to a Curve of Order N: A Thesis Presented to the Faculty of Philosophy of the University of Pennsylvania
By no one of these writers has a detailed study been made of the poles of a right line, or the (n intersections of the first polar curves of points in a right line, With respect to a curve of order n Steiner in general considers such points as the envelope of first polar curves of points on a given locus. In case the directrix is a right line, the envelope, by his formula, reduces to order zero. Cremona studies them from the standpoint of base points of a pencil of curves of order n 1 While both Salmon and Cremona call them specifically poles of the line, and give some limitations to their position in the case of cubics.
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