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From: Archimedes Plutonium on 9 Apr 2010 14:29 --- 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 |