From: Archimedes Plutonium on
--- quoting from ---
http://www.mathpages.com/home/kmath502/kmath502.htm

This curve on the surface of a sphere is sometimes called a loxodrome,
rhumb line, or spherical helix. A path beginning on the equator and
maintaining a constant heading of K=0.2 is shown in the figure below.
--- end quoting ---

Trouble with alot of geometry is that few think about defining angles
in Elliptic unioned
with Hyperbolic geometry. Seems as though all of geometry falls back
to a "default" of
Euclidean. So when I want to know the Elliptic angle in which the
Golden Rectangle
Logarithmic Spiral cuts each and every longitude or meridian, it is
not to be found.
Because noone can define an angle in Elliptic geometry. Always have to
throw in some
Euclidean rigging to talk about an angle.

So we say that Euclidean geometry is 180 degree triangles and Elliptic
is greater than
180 and Hyperbolic is less than 180 but when we actually examine the
loxodrome angle,
we all revert to some Euclidean outrigging program.

So what is the Rhumb line angle, the Loxodrome angle of the Golden
Rectangle
logarithmic spiral?


Archimedes Plutonium
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies