Comment on Napoleon's problem
I am disappointed that a solution has been given, as it deprives others from the difficult task of solving it.
It should be noted that the solution should be 'compasses only'. Strictly speaking this is not how the problem is usually solved. The plane of the circle is used.
Now if you have a circle in three dimensions, the compasses will now draw spheres (not just circles!)
The problem is to find the centre of the circle using just spheres (spherical compasses)
When you have solved this problem, do not broadcast the solution, leave it for others to find.
If you wish, just give the number of spheres you drew to find the centre.
Bparslow (talk) 21:22, 23 January 2008 (UTC)
Parslow's problem:
Find the diameter of a given sphere by drawing spheres alone, NO Lines, NO planes, (i.e. using compasses alone).
Notes: If two spheres intersect, they meet in a circle, and if a third sphere intersects this circle, it defines two points.
Again, don't broadcast the solution, just the number of spheres needed!