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:
“Midwinter spring is its own season
Sempiternal though sodden towards sundown,
Suspended in time, between pole and tropic.”
—T.S. (Thomas Stearns)
“Oh Sleep! it is a gentle thing,
Beloved from pole to pole!
To Mary Queen the praise be given!
She sent the gentle sleep from Heaven,
That slid into my soul.”
—Samuel Taylor Coleridge (1772–1834)
“In time your relatives will come to accept the idea that a career is as important to you as your family. Of course, in time the polar ice cap will melt.”
—Barbara Dale (b. 1940)