Pole And Polar
In geometry, the terms pole and polar are used to describe a point and a line that have a unique reciprocal relationship with respect to a given conic section. If the point lies on the conic section, its polar is the tangent line to the conic section at that point.
For a given circle, reciprocation in a circle means to transform each point in the plane into its polar line and each line in the plane into its pole.
Read more about Pole And Polar: Special Case of Circles, Reciprocation and Projective Duality, General Conic Sections, Properties, Applications, See Also, Bibliography
Famous quotes containing the words pole and, pole and/or polar:
“This man was very clever and quick to learn anything in his line. Our tent was of a kind new to him; but when he had once seen it pitched, it was surprising how quickly he would find and prepare the pole and forked stakes to pitch it with, cutting and placing them right the first time, though I am sure that the majority of white men would have blundered several times.”
—Henry David Thoreau (1817–1862)
“Not because Socrates has said it, but because it is really in my nature, and perhaps a little more than it should be, I look upon all humans as my fellow-citizens, and would embrace a Pole as I would a Frenchman, subordinating this national tie to the common and universal one.”
—Michel de Montaigne (1533–1592)
“Professor Fate: My apologies. There’s a polar bear in our car.”
—Arthur Ross. Professor Fate (Jack Lemmon)