The dual can be visualized as a locus in the plane in the form of the polar reciprocal. This is defined with reference to a fixed conic Q as the locus of the poles of the tangent lines of the curve C. The conic Q is nearly always taken to be a circle and this case the polar reciprocal is the inverse of the pedal of C.
Read more about this topic: Dual Curve
Famous quotes containing the words polar and/or reciprocal:
“Professor Fate: My apologies. There’s a polar bear in our car.”
—Arthur Ross. Professor Fate (Jack Lemmon)
“Parenting is a profoundly reciprocal process: we, the shapers of our children’s lives, are also being shaped. As we struggle to be parents, we are forced to encounter ourselves; and if we are willing to look at what is happening between us and our children, we may learn how we came to be who we are.”
—Augustus Y. Napier (20th century)