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Pole of a Plane
For a sphere:
$$x^2+y^2+z^2=r^2$$
the pole of plane:
$$lx+my+nz=p$$
is:
$$P\left(\frac{r^2l}{p},\frac{r^2m}{p},\frac{r^2n}{p}\right)$$
Usage
- Used to determine the point corresponding to a given plane under sphere polarity.
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Pole of a Plane
For a sphere:
$$x^2+y^2+z^2=r^2$$
the pole of plane:
$$lx+my+nz=p$$
is:
$$P\left(\frac{r^2l}{p},\frac{r^2m}{p},\frac{r^2n}{p}\right)$$
Usage
- Used to determine the point corresponding to a given plane under sphere polarity.
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