geometry
Polar
find the polar of a given point with respect to a given conic or a given circle
Calling Sequence
Parameters
Description
Examples
Polar(l, P, c)
l
-
the name of the polar
P
point
c
conic or circle
Let c=Or be a fixed circle, and let P be any ordinary point other than O. Let P' be the inverse of P in circle c. Then the line p through P' and perpendicular to OPP' is called the polar of P for the circle c. Since the package does not work with the extended plane, the routine does not find the polar of center O or of the ideal point.
If the point lies on the conic then the polar of P is the tangent line of the conic at that point.
For a detailed description of the polar of P, use the routine detail
The command with(geometry,Polar) allows the use of the abbreviated form of this command.
withgeometry:
circlec,x2+y2=1,x,y,ellipsee,x24+y2=1,x,y:
pointA,3,0:
Polarl1,A,c
l1
Equationl1
−1+3x=0
Polarl2,A,e
l2
detaill2
name of the objectl2form of the objectline2dequation of the line−1+3x4=0
See Also
geometry[inversion]
geometry[Pole]
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