Properties
Poles and polars have several useful properties.
If a pole P1 lies on a line L2, then the pole P2 of the line likewise lies on the polar L1.
If a pole P1 moves along a line L2, its polar L1 rotates about the corresponding pole of the line P2, and vice versa.
If two tangent lines can be drawn from a pole to the conic section, then its polar passes through both tangent points.
Read more about this topic: Pole (geometry)
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)