Not a Great Circle
From the wikipedia article on rhumb line (http://en.wikipedia.org/wiki/Rhumb_line):"In navigation, a rhumb line (or loxodrome) is a line crossing all meridians at the same angle, i.e. a path of constant bearing."The route would look straight on a Mercator projection map but on a globe (or the face of the earth) the route would be curved, i.e. it would NOT be the shortest distance between two points.Compare with the wikipedia article: http://en.wikipedia.org/wiki/Great_circle