Determining The Top And
Bottom Points On A Sphere.
This
is equivalent to determining the two ends of a diameter line.
Set
a compass to a radius equal to:
where R is the
radius of the sphere.
Place
the point of the compass on a random point on the surface and draw a circle of
radius r.
Select
another point on the sphere and draw another circle of radius r.
Where
the two circles intersect are the top and bottom points.