XPost: alt.recovery.aa, alt.social-security-disability, uk.rec.psychic

The point(s) resulting from the intersection of a sphere with a line, (if
the line intersects the sphere):

http://www.stonetabernacle.com/sphere-line.html

The point or equation of the circle resulting from the intersection of a
plane with a sphere, (if the plane intersects the sphere):

http://www.stonetabernacle.com/sphere-plane_1.html

An n-dimensional plane is defined by n noncolinear points, and its normal
the cross product of (n-1) lines adjoining them. The case can be extended
to find the n-dimensional circle resulting from the intersection of the n-dimensional sphere and the n-dimensional plane.

In the case of the (n-1) point(s) resulting from the intersection of the n-dimensional line with the n-dimensional sphere, all that is involved in
its calculation is the dot product.

The fact that points in spaces of dimension higher than 3 can't be
visualized has of course nothing to do with their existence.

I posted this earlier but since then edited the pages so they can be read easier.


---
This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)