geometry
Pole
find the pole of a given line with respect to a given conic or a given circle
Calling Sequence
Parameters
Description
Examples
Pole(P, p, c)
P
-
the name of the pole of the line
p
line
c
conic or circle
The pole of a line p with respect to a circle c, center O is the inverse of foot of perpendicular from O to p. Alternatively, the point of intersection of the polars of any two points on p.
For a detailed description of the pole of P, use the routine detail.
The command with(geometry,Pole) allows the use of the abbreviated form of this command.
withgeometry:
_EnvHorizontalName≔x:_EnvVerticalName≔y:
circlec,x2+y2=1,ellipsee,x24+y2=1
c,e
linel1,3x−1=0,linel2,34x−1=0
l1,l2
PoleP1,l1,c
P1
coordinatesP1
3,0
PoleP2,l2,e
P2
coordinatesP2
See Also
geometry[HorizontalName]
geometry[Polar]
geometry[VerticalName]
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